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Empirical Essays on the Role of Starsin Collaborative Organizations
vorgelegt vonArne Thomas, M.Sc.
(ORCID 0000-0002-8515-6340)
von der Fakultat VII – Wirtschaft und Managementder Technischen Universitat Berlin
zur Erlangung des akademischen GradesDoktor der Wirtschaftswissenschaften
– Dr. rer. oec. –
genehmigte Dissertation
Promotionsausschuss:
Vorsitzender: Prof. Dr. Søren Salomo (TU Berlin)
Gutachter: Prof. Axel Werwatz, Ph.D. (TU Berlin)Prof. Linus Dahlander, Ph.D. (ESMT Berlin)
Tag der wissenschaftlichen Aussprache: 10. April 2019
Berlin 2019
To Simone.
Abstract
Inspired by the challenges modern organizations face when integrating the
talent of their “best and brightest” into increasingly interdependent processes,
this dissertation analyzes the role of stars in collaborative organizations. In
three independent essays, I investigate (1) how stars affect team performance
and what mechanisms are at play, (2) how temporary star absence provides
new opportunities for non-star colleagues, and (3) how personal rivalry among
stars impacts their individual output and contribution to organizational per-
formance. I address these questions quantitatively by applying microecono-
metric and quasi-experimental techniques to data from the National Basketball
Association (NBA). Rich individual and team-level data enables me to identify
stars and link them to the performance of their colleagues and organizations.
The core findings of this thesis suggest that the impact of stars is not unidirec-
tional, but ambiguous: On the one hand, stars are vital for team performance
and the success of organizations because they possess unique skills that are
hard to replace. On the other hand, the dominant role of stars limits the
performance opportunities for non-star colleagues and constrains their pro-
fessional development. Finally, personal motives like trumping a rival induce
stars to prioritize individual output, which distinctly reduces their positive
impact on organizations. Taken together, the three essays of this thesis thus
paint a comprehensive and nuanced picture of stardom in collaborative orga-
nizations.
v
Zusammenfassung
Moderne Organisationen stehen vor der Herausforderung, die Fahigkeiten
ihrer Mitarbeiter in zunehmend interdependente Arbeitsablaufe zu integrieren.
Die herausragenden Fahigkeiten einiger weniger Stars sind dabei von beson-
derer Bedeutung. Diese Dissertation untersucht deshalb die Rolle von Stars in
kollaborativen Organisationen. In drei eigenstandigen Essays analysiere ich,
(1) wie Stars die Leistung von Teams beeinflussen und welche Mechanismen
dabei wirken, (2) wie die vorubergehende Abwesenheit von Stars ihren Kolle-
gen neue Moglichkeiten eroffnet und (3) wie personliche Rivalitaten zwischen
Stars ihre individuelle Leistung und ihren Beitrag zur Leistung der Organisa-
tion beeinflussen. Ich untersuche diese Fragen quantitativ auf der Grundlage
von Daten aus der National Basketball Association (NBA), die umfangreiche
Informationen auf Individual- und Teamebene enthalten. Auf dieser Basis ist
es moglich, Stars zu identifizieren und mit der Leistung ihrer Kollegen und
Organisationen zu verknupfen. Dazu verwende ich mikrookonometrische und
quasi-experimentelle Methoden. Die zentralen Ergebnisse dieser Dissertation
legen nahe, dass der Einfluss von Stars nicht nur in eine Richtung wirkt, son-
dern ambivalent ist. Einerseits sind Stars zentral fur die Leistung von Teams
und den Erfolg von Organisationen, weil sie uber einzigartige Fahigkeiten
verfugen, die sich kaum ersetzen lassen. Andererseits nehmen sie herausra-
gende Stellungen innerhalb von Organisationen ein und beschranken so die
Entfaltungs- und Entwicklungsmoglichkeiten ihrer Kollegen. Zuletzt spielen
die personlichen Motive von Stars eine wichtige Rolle: Personliche Rivalitaten
verleiten Stars dazu, ihre individuelle Leistung in den Vordergrund zu stellen,
was ihren positiven Einfluss auf Organisationen deutlich verringert. Zusam-
mengenommen vermitteln die drei Essays dieser Dissertation ein umfassendes
und differenziertes Bild uber die Rolle von Stars in kollaborativen Organisa-
tionen.
vii
Acknowledgements
While working on this thesis, I have received help and support from many
different people, for which I am thankful.
First and foremost, I would like to thank my supervisors, Axel Werwatz
and Linus Dahlander, both of whom have taught me so much about research,
and have helped me to grow as a person. I want to thank Axel Werwatz for
his prudent guidance, constructive encouragement and insightful advice. Your
support has been invaluable to me. I would like to thank Linus Dahlander for
his enthusiastic support, creative thinking and inspiring collaboration. Work-
ing with you has made this thesis so much more fun.
I am grateful to my “Kuhbrucke Fellows” Friederike Lenel, Hannah Liep-
mann and Niko de Silva for all the valuable feedback, lively discussions and
great support. Founding our research group was probably the best idea I had
during my time as a PhD student. Niko de Silva deserves special thanks for
providing great copy editing.
I am indebted to many scholars in Berlin and around the world for their
valuable feedback at conferences, in workshops, and in other discussions. In
particular, I would like to thank Matthew Bothner, Gianluca Carnabuci, Xu
Li, Henning Piezunka and Martin Schweinsberg for their detailed feedback and
insightful comments. I am also thankful to my colleagues at ESMT Berlin,
which has been such an appreciative and inspiring place to conduct my re-
search. I would like to thank my colleagues at TU Berlin, who always made
me feel welcome though I seldom made the trip to Charlottenburg.
Frank Eckert helped me greatly in gathering the NBA data, for which I am
thankful. I would also like to thank Benjamin Vahle for connecting us (and for
being a great friend). Moreover, I am thankful to Rita Alvarez Martinez and
Nina Xue who provided remarkable assistence in complementing the dataset.
Financial support from the Einstein Stiftung and the state of Berlin (through
the Elsa-Neumann Stipendium) is gratefully acknowledged.
ix
Contents
Abstract v
Zusammenfassung vii
Acknowledgements ix
Preface 1
I When the Magic’s Gone:
How Key Player Absence Affects Team Performance 3
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2 Key Players in Teams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.1 Teams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.2 Key Players . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.3 The Absence of Key Players . . . . . . . . . . . . . . . . . . . . . . . . 7
3 Research Context . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.1 The National Basketball Association . . . . . . . . . . . . . . . . . . . . 9
3.2 Key Players in NBA Teams . . . . . . . . . . . . . . . . . . . . . . . . . 11
3.3 Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
4 Econometric Considerations . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.1 Identification Strategy . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.2 Key Player Injuries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
4.3 Randomization Check . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
5 Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5.1 Cross-Section Approach . . . . . . . . . . . . . . . . . . . . . . . . . . 18
5.2 Before-After Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
5.3 Difference-In-Differences Approach . . . . . . . . . . . . . . . . . . . . . 20
6 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
6.1 The Key Player Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
6.2 Underlying Mechanisms of the Key Player Effect . . . . . . . . . . . . . 24
6.3 Robustness Checks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
7 Discussion and Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
II Out of the Shade, into the Light:
Star Absence as an Opportunity for Non-Stars 43
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
2 Stars in Organizations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
x
3 Star Absence and Opportunity . . . . . . . . . . . . . . . . . . . . . . . . . 47
4 Data and Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
4.1 Research Setting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
4.2 Sample and Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
4.3 Econometric Strategy . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
4.4 Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
4.5 Descriptive Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
5 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
5.1 Immediate and Long-Term Effects of Star Absence . . . . . . . . . . . . 58
5.2 Star Absence and Performance Opportunities . . . . . . . . . . . . . . . 60
5.3 Star Absence and Junior Employees . . . . . . . . . . . . . . . . . . . . 62
6 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
III Me over We: Personal Rivalry
Increases Individual Output, but Crowds Out Organizational Interests 73
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
2 Theory and Hypotheses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
2.1 Personal Rivalry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
2.2 Personal Rivalry and Individual Performance . . . . . . . . . . . . . . . . 77
3 Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
3.1 Empirical Setting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
3.2 Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
3.3 Estimation Strategy . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
4 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
4.1 Personal Rivalry and Individual Performance . . . . . . . . . . . . . . . . 85
4.2 Additional Analyses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
4.3 Robustness Checks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
5 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
Concluding Remarks 111
xi
Preface
I have been playing football since I was five years old. In my first team, our best player
was a striker named Andre. He was as fast as he was technically adept and I remember
that he once scored nine goals in a single game. Although our coach prized sportsmanship
and team spirit above everything else, it sometimes felt as if there were different rules for
Andre. Us other boys would let him get away with antics that we would not have tolerated
had he not scored all those goals. Andre was the first “star” I knew. The challenging
endeavor of integrating exceptional individual talent into a collaborative group is of course
not specific to junior football teams. Quite the contrary, it is ubiquitous in modern
organizations, where tasks have become increasingly cooperative and interdependent and
the inputs of the “best and brightest” are considered essential. Thus, this thesis studies
the role of stars in collaborative organizations.
For this purpose, I gathered data from the National Basketball Association (NBA).
Over the course of the years, I have come to realize that I have learned a lot more by
playing football than just how to shoot or pass the ball. For example, I have learned to
get along with easy and not so easy teammates, and how to be a good teammate myself
(at least I hope so). The things I have learned also helped me outside of sports, where I
have found that study groups at university or project teams at internships followed similar
principles. Because of these experiences, it felt natural to harness the potential of sports
data when I decided to study stars and their role in organizational settings. The NBA
offers unique research opportunities, as it provides rich data at the individual and team
level. As such, it makes for an ideal “laboratory” for empirical microfoundational work
that seeks to understand how stars affect organizations. In three independent essays, I
use it to illuminate different facets of stardom within organizations.
The first chapter (co-authored by Linus Dahlander) addresses the foundational question
of how stars affect team performance. One objective of this chapter is to present causal
evidence on the effect of stars. In general, disentangling the causal effect of individuals
on team performance is complicated, because individuals often self-select into teams. To
address this challenge, we exploit quasi-experiments induced by injuries of stars in the
NBA and estimate the effect of star absence. Across different econometric approaches
and specifications, we consistently find that star absence reduces team performance. This
effect is economically important and lasting. Exploiting rich variation in team and star
characteristics, we further investigate three mechanisms that potentially underlie the ef-
fect: (1) imperfect skill substitution, (2) the loss of complementarities within the team,
and (3) demotivation and reduced effort by the remaining team members. Results suggest
2 Preface
that the effect is driven by imperfect skill substitution, where teams cannot replace the
unique skills of the star.
In the second chapter, I focus on the relationship between stars and their colleagues.
Specifically, I analyze how the temporary absence of stars affects the productivity of the
non-stars surrounding them. Adopting a quasi-experimental approach that is similar to
the first chapter, I consider changes in the productivity of non-stars while the star is
injured and after he has come back. Results suggest that non-stars increase their output
while the star is absent. In the aftermath of long absences, they can sustain an increased
level of production even after the star has come back. Besides differentiating the imme-
diate and long-term effects of star absence, this chapter proposes that dominant stars
constrain non-star colleagues because they limit their opportunities to perform. In line
with this, I find that increased performance opportunities are indeed the key mechanism
underlying the positive effect of star absence on non-star productivity. Results also in-
dicate that junior employees, especially those in the middle of the talent distribution,
particularly benefit from these opportunities.
The third chapter turns to the personal motives of stars and how they affect stars’
behavior. In particular, I examine how the presence of an external personal rival affects
stars’ individual output and their contribution to organizational performance. Utilizing
supplementary information on personal rivalries among NBA stars, I compare star per-
formance in games where they compete with a personal rival to games where no rival is
present. Based on theories of social comparison and self-maintenance, this chapter sug-
gests that stars focus on highly visible and self-relevant individual output in their pursuit
to outperform their personal rivals. They thereby neglect other activities that are impor-
tant for collaborative organizations and they hurt organizational efficiency. Supporting
this, results suggest an adverse effect of competing with a personal rival: Stars increase
their individual output, but they contribute less to organizational performance.
While the three essays share the overarching goal of analyzing the role of stars in
collaborative organizations, the definition of a star varies slightly among them. The first
chapter uses the most comprehensive star definition because it goes beyond individual
productivity to determine stars, and also considers helpfulness. It also stands out in
terms of terminology as we speak of key players in this chapter. We make this distinction
to underline that we identify “stars” within each team, but one might as well think of
key players as local stars. In the second chapter, I seize upon the notion of local stars,
but take a more traditional approach to identify them, determining stars just based on
individual productivity. The third chapter finally relies on an implicit star definition,
because information about personal rivalries is only available for a group of elite NBA
players. These players are characterized by exceptional individual productivity making
the star definition fairly consistent across the three essays. In the end, they all study
key personnel who stand out at their organizations, thereby advancing our knowledge of
stardom in collaborative organizations.
When the Magic’s Gone:
How Key Player Absence Affects
Team Performance
Abstract. A fundamental question in strategy research is how individual be-
haviors aggregate into organizational performance. However, disentangling
the causal effect of individuals on team performance is complicated as indi-
viduals self-select into teams. To address this challenge, we exploit quasi-
experiments induced by injuries of key players in the National Basketball
Association (NBA). Across different models, we find a lasting and econom-
ically important negative effect of key player absence on teams’ chances of
winning. We further investigate three mechanisms that potentially underlie
the key player effect: (1) imperfect skill substitution, (2) the loss of comple-
mentarities within the team, and (3) demotivation and reduced effort by the
remaining team members.
1 Introduction
In 1989, the reigning two-time champion Los Angeles Lakers faced their rival, the Detroit
Pistons, in the National Basketball Association (NBA) Finals. The championship round
was anxiously awaited, as it was not only a match-up between the best teams of the regular
season, but also a clash of different playing philosophies: the finesse, offensively-minded
“Showtime” Lakers against the Pistons’ rough and physical “Bad Boys.” In the second
game, the Lakers lost Earvin “Magic” Johnson due to a pulled hamstring. Johnson was
the Most Valuable Player (MVP) of the regular season and the undisputed superstar of
the team. With their best player out, the Lakers ended up losing the series 0-4. In the
post game analysis, sports pundits attributed the Pistons’ triumph to the Lakers’ injury
list: the four-game sweep was seen as a direct result of Magic Johnson’s absence.
The 1989 NBA Finals exemplify how key players in teams attract special attention –
prominent athletes often outshine their teams. This is evident in many other settings,
such as the academic or business worlds, where single prominent scientists or managers
attract immense attention (Azoulay et al., 2010; Groysberg et al., 2008; Malmendier and
Tate, 2009). While research has suggested that individual ability is an important input
to team production, it is also widely accepted that the right mixture of individual talent
4 Chapter 1
and experience maximizes team performance (Hoisl et al., 2016). Interdependent teams
are more than the mere sum of their parts, such that it is not clear how individual
excellence carries over to the team-level. We seek to shed new light on the complex
relationship between prominent individuals and the “soul of teamwork” by investigating
the importance of key players in teams, and studying three different mechanisms by which
they can impact team performance. How individual contributions aggregate into team and
organizational performance is a question of fundamental importance for strategy research
– for example, Foss and Pedersen (2016) recently highlighted that greater attention needs
to be paid to the micro-foundations of strategy.
We base our empirical analysis on the absence of key players from teams (hereafter,
‘key player absence’). Obtaining empirical evidence on the effect of key player absence
on team performance is challenging for two reasons. First, it requires data on individual
contributions to team outcomes that is typically unavailable. Second, the self-selection
of players into teams complicates the disentangling of causal effects. Key player absence
is often endogenous, because key players frequently leave their team for reasons that are
also tied to team performance. To tackle these challenges, we harness NBA data that
includes a broad range of individual- and team-level metrics. We establish a causal effect
and deal with endogeneity using a quasi-experimental approach that leverages injuries of
key NBA players.
Studying top performers has a rich tradition in organizational research. Classical work
on superstars has established the antecedents and effects of superstardom (e.g., Adler,
1985; Hausman and Leonard, 1997; Rosen, 1981). However, it routinely viewed superstars
in isolation. At the same time, the incidence and importance of teamwork in modern,
knowledge-based organizations is well-documented (e.g., Wuchty et al., 2007). Recently,
the work of Azoulay et al. (2010) and Oettl (2012) has broadened the perspective by
evaluating the impact of superstars in collaborative environments. This paper builds
upon the work of Azoulay et al. (2010) and Oettl (2012) and complements their research.
While they focus on individual-level spillovers among peers, we analyze the effect of key
player absence on the joint output of the team and the underlying mechanisms.
Following Oettl (2012), we determine key players on the basis of productivity and help-
fulness. We focus on offensive output as a distinct part of NBA team performance and
measure individual productivity and helpfulness by the players’ points and assists, respec-
tively. Assists are an appropriate measure of helpfulness because they are only awarded
when the pass directly contributes to the basket made. We observed NBA teams during
the seasons 1998-2013, corresponding to 474 team-seasons.1 For these teams, we identified
a sample of 231 key players (corresponding to 907 key player-team-season combinations)
and examined how the teams’ probability of winning changed when the key player was ab-
1 We observed six seasons with 29 teams (1998-2003) and ten seasons with 30 teams (2004-2013). Webase our analyses on team-seasons, because NBA teams face significant turnover between seasons andmajor roster changes are common.
When the Magic’s Gone 5
sent with an injury. Across different econometric approaches and specifications, we found
a negative effect of key player absence on team performance. On average, the teams’ prob-
abilities of winning were decreased by 6.4 percentage points when they played without
their injured key player. This is an economically meaningful effect that can be decisive
when competing for the league’s prestigious playoff spots. 29.5 percent of the teams in
our sample finished within a margin of 6.4 percentage points of an even win-loss record,
which is generally seen as an indicator for a playoff team.2 For these teams, playing the
campaign with or without their key player would make or break a season. We extend
our analysis to evaluate three mechanisms that potentially underlie the key player effect:
(1) imperfect skill substitution, (2) the loss of complementarities within the team, and
(3) demotivation and reduced effort by remaining team members. Team performance can
suffer from key player absence because the key players possess unique skills that the team
cannot substitute for (imperfect skill substitution). Alternatively, team performance may
decrease because key players and their team-mates have complementary skills and those
productivity-enhancing pairings are lost in the absence of a key player (loss of comple-
mentarities). Finally, losing a key player can psychologically affect the team members
“left behind” who exert less effort as a result (demotivation and reduced effort). Exploit-
ing rich variation in team and key player characteristics as well as in the dynamics of the
effect, we found that imperfect skill substitution rather than the loss of complementarities
or reduced effort is the dominant mechanism behind the key player effect.
Our paper makes three contributions to the literature. First, we add to the teams
literature by showing how key players matter for team-level outcomes. Whereas earlier
literature has shown that losing stars has a negative effect on peers (Azoulay et al., 2010;
Oettl, 2012), we show that the absence of key players has a negative effect on the whole
team. Even in situations where substitutes were trained and ready to step in, losing a
key player decreased team performance. Second, we establish a causal effect by using
a quasi-experimental approach induced by injuries. This methodological advancement
has important implications because, without accounting for endogeneity, it would be
easy to overestimate the effect of key players (Hamilton and Nickerson, 2003). Third,
we examined three mechanisms potentially underlying the key player effect, and found
that teams suffer due to imperfect skill substitution. While earlier literature has argued
that complementarities in teams are important (Hamilton et al., 2003; Lazear and Shaw,
2007) and network structures matter (Reagans et al., 2004), we blend these insights with
evidence that outstanding skills are hard to replace.
2 In our data, only 5.3 percent of the teams with a winning percentage below 50 percent made theplayoffs and only 8.2 percent of the teams with a winning percentage above 50 percent did not make theplayoffs. Although not perfect, an even record is thus a useful heuristic.
6 Chapter 1
2 Key Players in Teams
2.1 Teams
Teams have become a basic building block of most contemporary business organizations,
a development which is reflected in the sizeable stream of team-related research (Balkundi
and Harrison, 2006). As this research spans different disciplines, the definition of a team
varies across much of the prior work. In general, teamwork can be characterized as “people
working together to achieve something beyond the capabilities of individuals working
alone” (Marks et al., 2001, 356). We define a team as a group of two or more persons
working toward a common goal. Each team member contributes specific expertise and
performs a specific function (Zaccaro et al., 2001). However, teams differ in their degree of
interdependence, which can be defined as “the extent to which team members cooperate
and work interactively to complete tasks” (Stewart and Barrick, 2000, 137). We focus
on teams with a high degree of interdependence, where team members must provide a
coordinated effort to achieve the team’s goal (Landis, 2001). As such, team output is not
just the simple sum of individual inputs. In interdependent teams the role of key players is
particularly interesting because motivation, coordination and cooperation play important
roles (Wageman, 1995). In other words, “team chemistry” is important in interdependent
teams.
Organizational scholars have examined very different determinants of team performance
such as reward schemes (e.g., Beersma et al., 2003; Boning et al., 2007), leadership (e.g.,
Dirks, 2000; Goodall et al., 2011), trust (e.g., De Jong and Elfring, 2010; Dirks and
Ferrin, 2002), and team composition (e.g. Jehn et al., 1999; Reagans et al., 2004). Yet
the influence of key players remains understudied.
2.2 Key Players
Analyzing the effect of key player absence on team performance inevitably raises the ques-
tion of who is key within a team. The notion of a key player is a prominent concept in
social network analysis (e.g., Ballester et al., 2006; Borgatti, 2006; Liu et al., 2012). This
literature does not offer a consistent definition of a key player – rather, the appropriate
definition is thought to hinge on the research question (Borgatti, 2006). In general, re-
search on key players in social networks is concerned with the question of which individuals
are important for the network (Borgatti, 2006). Correspondingly, team research on key
players revolves around the individuals who are important for the focal team. Intuitively,
a key player is a team member who makes a major contribution to team performance.
This intuitive definition of a key player has two important components that distinguish a
key player from similar concepts. The first component is hierarchical: the key player is a
normal team member rather than a team leader. While team leaders can rely on formal
power sources (Balkundi and Harrison, 2006), key players are co-equal to their teammates
When the Magic’s Gone 7
Table 1: Taxonomy of Key Players
High Average or lowproductivity productivity
High All-star Helpfulhelpfulness key player key player
Average or low Productive Nohelpfulness key player key player
from a hierarchical standpoint. The second component is relational: key player status
is related to the team. This distinguishes the key player from a superstar. While su-
perstars are usually defined within broader fields of activity, such as in a scientific field
(e.g., Azoulay et al., 2010), music genre (e.g., Krueger, 2005), or occupational group (e.g.,
Malmendier and Tate, 2009), key players are defined in comparison to their teammates.
Obviously, a team member can make a major contribution to team performance by
being very productive. However, those who have worked in teams know that this is only
half the story. Besides the gifted crackerjack, there is usually another team member who
is vital for team performance because he or she helps others and brings out the best in
team members. Thus, team members can make a major contribution to team performance
either directly or indirectly, i.e. by being highly productive, highly helpful, or both.
Oettl (2012) reconceptualized scientific stars along two dimensions: productivity and
helpfulness. In collaborative environments, stars are not only defined by what they pro-
duce themselves but also by how they help others (Oettl, 2012). This reasoning also
applies to key players in teams. Building on Oettl (2012), we therefore differentiate three
key player types: productive, helpful, and all-star. Productive key players are highly
productive but average or below-average on helpfulness. Helpful key players are highly
helpful but average or below-average on productivity. All-star key players are both highly
productive and highly helpful. The taxonomy of key players is summarized in Table 1.
It accounts for the fact that team members can contribute to team performance in more
than one way.
2.3 The Absence of Key Players
When a team happens to lose a key player, it appears intuitive that team performance
decreases. However, the dynamics involved are not as straightforward as they may seem
at first glance. Key players often play a dominant role within a team, usually make more
money than their teammates, and receive most of the attention. This can be detrimental
to team chemistry. Everybody has heard the often-told story of the egocentric star who
demoralizes his or her own team. Supporting this notion, Groysberg et al. (2008) found
that newly hired star analysts underperform in their new working environments. One
explanation they emphasize is the ramifications for collegial relationships, which may in-
clude interpersonal conflicts. Resentful veteran employees who envy a star’s compensation
8 Chapter 1
and status may react with a lack of cooperativeness to the new hire. Similarly, the special
treatment for the key player may cause demoralization. If that is the case, the absence of a
key player can ease tensions and boost morale within the team. Additionally, the absence
of a key player may improve coordination within the team. Swaab et al. (2014) found that
team coordination and performance suffer when too many talented individuals are on the
team. They attributed the too-much-talent effect to status competition within the team.
Status conflicts can harm team performance because team members are overly concerned
with their own standing within the team (Groysberg et al., 2011). Fighting for pecking
order can go as far as undermining other team member’s efforts (Greer et al., 2011). The
absence of a key player may cure dysfunctional teams plagued by status competition and
a lack of coordination. Under these circumstances, it may decrease the team’s overall tal-
ent, but counterintuitively, increase its performance. Finally, the absence of a key player
necessarily leaves a void that presents an opportunity for the remaining team members.
Resources, responsibilities, and tasks are reallocated and the new constellation may help
remaining team members reach their full potential. In sum, these arguments suggest that
the absence of a key player will not necessarily be detrimental to team performance.
Still, there are good reasons to presume that the absence of a key player has a negative
effect on team performance. There are three distinct mechanisms that we distinguish in
the paper: (1) imperfect skill substitution, (2) loss of complementarities between the key
player and his or her teammates, and (3) demotivation and reduced effort of the team
members left behind.
First, imperfect skill substitution implies that key players contribute essential inputs to
the team output that cannot be substituted for (Azoulay et al., 2010). Teams therefore
struggle to replace the skills that have gone missing. Key NBA players possess unique skills
within their teams, as is the case in many other settings (Goodall et al., 2011). As such, a
hallmark of team play in the NBA is imperfect skill substitution, which is one of the key
characteristics of working with superstars (Rosen, 1981). Hamilton et al. (2003) suggested
that imperfect skill substitution goes beyond technical skills. High-ability workers are
more influential for team productivity than low-ability workers because they can enforce
more rigorous work norms and teach less-able workers to be more productive (Hamilton
et al., 2003). This implies that teams lose something beyond pure technical abilities when
key players are absent.
Second, the loss of complementarities from a key player’s absence can cause team per-
formance to decrease. Complementarities within a team imply that the team members’
productivity is enhanced by combining their effort with teammates who have different
skills (Lazear and Shaw, 2007). Complementarities can arise either through matching or
by investing in special skills (Hayes et al., 2006). Given the immense scouting and training
efforts of NBA teams, strong complementarities between team members accrue over time.
Indeed, recent research has provided evidence of significant productivity spillovers among
players in NBA teams (Arcidiacono et al., 2017; Kendall, 2003). However, the mere ex-
When the Magic’s Gone 9
istence of complementarities is not enough. Rather, a negative net effect requires that
complementarities between the key players and their teammates are higher than those
between the key players’ substitutes and the team. Again, this is plausible since teams
are often built around key players, a fact that has found expression in the NBA jargon
of “franchise player.” Teammates are frequently selected according to their fit with the
skills and playing style of the key player, i.e. when complementarities between the key
player and the other teammates are maximized.
Third, the absence of a key player can change the motivation among the remaining
team members. One reasoning suggests that the absence of a big ego key player can boost
morale, which shows that the effect on motivation is not clear a priori. The competing
argument is that players left behind might get discouraged by the loss of the key player,
and reduce their effort as a result. Empirical evidence supports the idea that highly
productive personnel increases the effort of coworkers (Mas and Moretti, 2009). High-
ability workers are also associated with more rigorous work norms (Hamilton et al., 2003).
Consequently, the remaining team members may exert less effort after losing a key player.
This also seems plausible for NBA teams. NBA coverage routinely stresses teams “playing
hard” and since 2016 the NBA reports “hustle stats,” both suggesting that teams (and
players) vary in their effort despite the high level of professionalism and visibility in the
NBA. Given the small team size (just five players on the court), injuries of key players
are perceived as particularly severe in NBA teams and can therefore reduce motivation.
Besides demotivation, NBA teams may also strategically reduce effort after key player
injuries. Seeing their chances slip away without their key player, teams may decide to
reduce effort to improve their position in the upcoming rookie draft (Taylor and Trogdon,
2002).
3 Research Context
3.1 The National Basketball Association
The National Basketball Association is one of the four major sports leagues in North
America. It is generally considered the world’s leading league in men’s professional bas-
ketball, and has been used to study organizational phenomena in the management litera-
ture (e.g., Berger and Pope, 2011; Ertug and Castellucci, 2013; Fonti and Maoret, 2016).
The league’s athletic importance is also mirrored economically. In 2015, Forbes estimated
the NBA’s total revenue to be 4.8 billion USD (Badenhausen, 2015). The NBA consists of
30 teams (29 teams until 2004) divided into two conferences (East and West) with three
divisions each (Atlantic, Central, Southeast in the East and Northwest, Pacific, Southwest
in the West). A NBA season consists of two phases: the regular season (82 games per
team) and the playoffs (between 4 and 28 games per team). The eight best teams of each
conference advance to the playoffs, a tournament consisting of four best-of-seven rounds
10 Chapter 1
to determine the NBA champion.
The NBA is an attractive empirical setting for both conceptual and empirical reasons.
Conceptually, NBA teams incorporate essential features for studying teams, and key play-
ers within them. In terms of teams, roster regulations ensure that all teams operate under
equal conditions and are thus comparable (Dirks, 2000). NBA teams exist over decades,
pursue identical goals, and are governed by the same rules. They are also characterized by
a high degree of interdependence among team members, which forces them to provide a
coordinated effort (Berman et al., 2002). In terms of key players, differences in individual
performance are well-known and easily observable. With only five players on the court,
individual players can make a difference in basketball. Outstanding players like Michael
Jordan or LeBron James have turned losing franchises into championship teams.
Empirically, NBA data offers unique opportunities for team research. For our purposes,
it has two distinct advantages. First, it enables us to link individual efforts to team
outcomes, thus relaxing the data constraint normally associated with the analysis of
individual behavior in teams. Second, using data from the NBA allows us to pursue
an identification strategy that sheds light on the causal relationship between key player
absence and team performance. Our identification strategy relies on quasi-experiments
induced by injuries of key players. We are able to distinguish injuries from other reasons
for player absence, which is vital for our empirical strategy. It also differentiates our
dataset from those NBA datasets that have been employed in earlier studies (e.g., Price
et al., 2010; Taylor and Trogdon, 2002).
To create a dataset that fulfills the requirements of our research question, we compiled
data from the NBA’s official website, www.nba.com. We selected nba.com because it is
the premier source for NBA data with regards to both volume and depth. Due to the
league’s efforts toward data accuracy, the official statistics are very credible and reliable.
The official NBA statistics are recorded courtside and reviewed by league officials to
make sure they are credited properly (Biderman, 2009). Hence, the measures should not
be greatly affected by measurement error. We complemented the official statistics by
information on player characteristics, individual awards and salaries, which we retrieved
from www.basketball-reference.com. Our dataset includes longitudinal information about
NBA teams and players from the 1998-99 season to the 2013-14 season, i.e. for 16 seasons
in total. This corresponds to 20,026 games, 40,052 team-game observations (two teams
per game), and 624,411 player-game observations (between fifteen and sixteen players per
team). In some rare cases, nba.com did not list all players that competed in a game.
201 team-game observations (0.5%) (corresponding to 2,236 player-game observations
(0.36%)) were excluded because of incomplete information.
When the Magic’s Gone 11
3.2 Key Players in NBA Teams
Consistent with the key player definition, we utilize intrateam rankings to identify key
players. Characterizing individuals by their relative position in a distribution is a common
approach for identifying superstars (e.g., Azoulay et al., 2010; Krueger, 2005; Oettl, 2012).
We followed this path by identifying key players based on their relative position within
their team. The different key player types were delineated using points per game and
assists per game as measures for individual productivity and helpfulness, respectively.
Points per game and assists per game are averages calculated on the basis of all games
the player competed in during the season.
Team members were classified as key players if (1) they led their team in points per
game (productivity) or assists per game (helpfulness), and (2) their individual statistics
exceeded the team’s average by at least 1.5 standard deviations. Accompanying the rank
criteria with a threshold ensures that the identified key players were indeed vital to their
team.3 Players who led their team in points per game and passed the threshold were
classified as productive key players. Players who led their team in assists per game and
passed the threshold were classified as helpful key players. In cases where one player led
the team both in points and in assists and passed the thresholds, he was classified as an
all-star key player. Revisiting the introductory example, Magic Johnson led the 1988-89
Lakers in both categories and would have thus been identified as an all-star key player.
NBA teams can trade their players until a deadline, which is roughly after two thirds
of the regular season. In case a key player changed teams, we decomposed the season into
two parts delimited by the date of the key player trade. For the period in which the key
player was not with the team (because he was traded away or arrived later), we identified
a new key player. We observed 57 key player trades.4
This procedure yielded a key player sample of 907 key player-team-season combinations
consisting of 386 productive key players (42.6%), 403 helpful key players (44.4%), and 118
all-star key players (13.0%). We identified at least one key player for all team-seasons.
On average, 1.7 key players were identified per team-season. As one NBA player could be
the key player for multiple teams or seasons, 231 NBA players (14.8% of the entire player
sample) constituted the key player sample.
Table 2 reports individual statistics and awards of NBA players by key player type.
Unsurprisingly, Panel A reveals that key players scored more points and gave more assists
than non-key players. They also played more minutes. One potential objection to the
key player sample is that it was determined solely on offensive contribution. However,
3 We also ran a robustness check with a higher threshold of two standard deviations. The results stayedqualitatively unaltered, but the effects were quantitatively stronger. This is unsurprising because thekey players identified with the higher threshold were more outstanding than the original ones. Detailedresults are available upon request.4 We conducted a robustness check where we excluded all teams that were involved in a key player trade.Although the exclusion affected 5,111 team-game observations, it did not change the results significantlyin substance or magnitude. The results are available upon request.
12 Chapter 1
Ta
ble
2:
Key
Player
Sa
mp
le–
Ind
ividu
al
Sta
tisticsa
nd
Aw
ards
by
Key
Player
Typ
e
All-star
keyp
layersP
rod
uctive
keyp
layersH
elpfu
lkey
players
No
n-key
players
A.
Sta
tistics(10,446
Player-gam
eob
s.)(29,353
Player-gam
eob
s.)(29,528
Player-gam
eob
s.)(555,084
Player-gam
eob
s.)M
eanS
DM
eanS
DM
eanS
DM
eanS
DP
oints
22.728.99
21.348.06
14.087.46
7.966.79
Assists
6.703.14
3.132.24
6.603.37
1.551.86
Min
utes
38.076.21
36.906.41
33.657.30
21.6411.35
Defen
sivereb
oun
ds
3.952.62
5.573.32
2.952.10
2.772.57
Steals
1.531.33
1.111.16
1.321.26
0.650.92
Blo
cks0.43
0.750.91
1.270.21
0.510.47
0.90P
lus-m
inu
s1.54
12.950.99
12.770.83
12.20-0.18
9.84P
layerim
pact
estimate
(PIE
)0.15
0.080.14
0.080.11
0.090.07
0.25S
alary(in
US
D)
10,367,2255,598,851
9,985,6095,629,203
6,181,0404,357,033
3,357,0483,686,276
B.
Aw
ards
(118P
layer-seasonob
s.)(386
Player-season
obs.)
(403P
layer-seasonob
s.)(6,483
Player-season
obs.)
Su
mS
hare
Su
mS
hare
Su
mS
hare
Su
mS
hare
Most
Valu
able
Player
60.38
80.5
20.13
00
All
NB
AF
irstT
eam26
0.3337
0.4611
0.146
0.08A
llN
BA
Secon
dT
eam18
0.2338
0.4813
0.1611
0.14A
llN
BA
Th
irdT
eam14
0.1836
0.458
0.122
0.28A
ll-Star
Gam
en
omin
ations
720.20
1480.40
450.12
1030.28
All-S
tarG
ame
starter42
0.2863
0.4215
0.130
0.2
Notes.
Th
istab
lerep
ortsin
divid
ual
statistics(P
anel
A)
and
award
s(P
anel
B)
ofp
layersby
their
keyp
layertyp
e.In
Pan
elA
,m
eans
and
stand
ardd
eviations
were
calculated
onp
layer-game-ob
servations.
InP
anel
B,
sum
ofaw
ards
won
were
based
onp
layer-seasonob
servations.
Th
esh
aresof
win
ners
bykey
player
type
were
calculated
asrow
percen
tagesof
the
award
s.
When the Magic’s Gone 13
Panel A shows that key players also excelled on the defensive side as they made more
defensive rebounds and steals compared to non-key players. The positive overall impact
of key players is also reflected in their plus-minus statistic, which records the team’s
point differential when the player is on the court, and the player impact estimate, which
measures the player’s overall statistical contribution. Salary data shows the high market
value of key players: All-star and productive key players earned roughly three times more
and helpful key players almost twice as much as non-key players. Panel B shows that
key players also received more awards than non-key players. This is particularly striking
for the Most Valuable Player award, the highest individual honor for NBA players.5 The
nominations to the All NBA Teams and to the All-Star Game honor the season’s best
players. Over 90 percent of the All NBA First Team and over 85 percent of the All NBA
Second Team were composed of key players. Key players also dominated the nominations
(made by NBA head coaches) and starting spots (determined by a fan ballot) of the
All-Star Game. Overall, Table 2 provides confidence that our key player sample contains
players that were indeed key.
3.3 Variables
Dependent variable. A natural way to consider team performance at the game-level is
to evaluate the game outcome, i.e. whether the team won or lost a game. Winning can
be considered the single most important indicator of team performance in professional
sports and in the NBA. The number of wins determines both the regular season ranking
and advancement in the playoffs. It also takes the relative nature of competition in
professional basketball into account. Alternative measures of team performance are the
offensive output (points scored) or the point differential (also known as plus-minus in
the NBA). The latter seems particularly interesting, because it determines winning and
losing and quantifies the game outcome in more detail. However, unlike in other sports,
the score differential does not matter for the team’s standing in the NBA. That is why
scores are regularly inflated or compressed in the so called “garbage time,” the period
of an already decided game where substitutes come in and the best players are rested.
Therefore, our dependent variable is an indicator Win that becomes 1 when the focal team
won the game. This binary variable exhibited a correlation of 0.81 with point differential
and displayed a correlation of 0.44 with points. In our robustness checks, we show that
our results are consistent with these alternative measures.
Independent variable. To follow the identification strategy, it is essential to distin-
guish injuries from other reasons for key player absence. We undertook two steps to
5 The NBA has more awards than listed in Table 2. With exception of the Sixth Man of the Year award,an honor specially designed for substitute players, they were also dominated by key players. Althoughwe obtained key players based on their offensive contribution, the title of Defensive Player of the Yearwas awarded to key players in almost 40 percent of the cases.
14 Chapter 1
construct a dummy variable that recorded key player injuries reliably. First, we eval-
uated official NBA box scores. The box score summarizes a NBA game and lists the
names, positions, and statistics of the players. More importantly, it also lists players
who did not play and explicitly states whether the player was missing due to an in-
jury or another reason, e.g. the coach’s decision. Unfortunately, the box score did not
clarify all key player absences. In those cases, we researched key player absences man-
ually and analyzed game reports and daily NBA news. The game reports were from
ESPN (http://espn.go.com/nba/scoreboard). The daily news reports were from Patricia
Bender’s NBA archive (https://www.eskimo.com/ pbender/), which has been utilized by
previous researchers (e.g., Ertug and Castellucci, 2013). We coded Injured Key Player as
1 if the box score or the game reports indicated a medical reason for key player absence
and 0 otherwise.
Control variables. In our estimations we also controlled for other factors that might
influence team performance. Three aspects seem particularly important. First, playing at
home is generally seen as an advantage in professional sports, so we controlled for location
of the game. Home is a dummy variable that indicates whether a team played at home.
Second, performance capability is affected by the physical condition of the team. Games
on two consecutive days are called back to back games and are considered particularly
energy-sapping in the NBA. To account for potential exhaustion, Back to Back indicates
whether the team has played the night before. Finally, NBA team performance is also
affected by the opponent. To account for the opponent’s quality, we included Opponent
Win Percentage. It records the proportion of games the opposing team has won during
the season. It is important to note that adding control variables will not change the
estimate of the treatment effect if key player absences are indeed exogenous, which we
will show in the results. We included the control variables to reduce residual variance and
lower the standard errors of the estimates (Angrist and Pischke, 2009).
4 Econometric Considerations
4.1 Identification Strategy
The aim of this paper is to estimate the causal effect of key player absence on team
performance. Ideally, in order to separate the effect of the treatment from other factors
influencing the outcome, one would randomly allocate the treatment across teams, i.e.
randomly withdraw key players. Such a randomized experiment would ensure that the
treatment is exogenous. For obvious reasons, the experimental approach is not feasible.
A natural starting point for a non-experimental approach is to look for teams that
at some point lose their key player and see how their performance changes after the
key player has left the team. However, this approach is problematic because key player
When the Magic’s Gone 15
absence is potentially endogenous: key players often leave their team for reasons that are
tied to team performance. Just as the best scientists often choose to join research teams
of other highly productive scientists, expert physicians locate at the same hospitals, or
top lawyers form cooperative teams in law firms, key players in the NBA will tend to leave
weaker teams to join better ones. This exposes weaker teams to the loss of a key player
more frequently, leading to a systematic downward bias in the treatment group and to an
overstatement of the treatment effect.
To tackle this problem, we focus on key player absences due to injuries. While injuries
are probably not completely random, they have a significant random component. This
is especially true in the NBA as many other important factors are relatively constant
across the teams. For example, the intensity of training, the physical effort in the games
and the quality of the medical staff are comparable across the league. Hence, injuries
can be regarded “as good as randomly assigned” in the empirical context. They induce a
quasi-experimental variation in the treatment allocation across teams. With an exogenous
treatment, the treatment group no longer differs systematically from the control group.
Exploiting key player injuries thus eliminates sample selection bias. Relying on injuries
as an exogenous source of variation is a novel empirical strategy in teams research that
has begun to get some traction (see e.g., Chen and Garg, 2018; Stuart, 2017). A similar
strategy was used by Azoulay et al. (2010), Jones and Olken (2005) and Oettl (2012),
who exploited the deaths of prominent individuals as an exogenous source of treatment
variation.
4.2 Key Player Injuries
In every natural experiment, it is essential to understand the exogenous source that de-
termines treatment assignment (Meyer, 1995). In our case, that corresponds to injuries of
key NBA players. Most of the teams experienced at least one key player injury over the
course of a season, i.e. they were treated at some point. Only 63 of the 474 team-seasons
went by without any key player injury. In turn, almost 87 percent of the teams were
treated at least once.
Fortunately, injuries are not permanent and the players recover and come back at
some point in time. This has two important implications. First, teams were observed in
different treatment statuses: pre-treatment, treatment, and post-treatment.6 This implies
that teams potentially switch back and forth between treatment state and no-treatment
state. A typical pattern of key player injuries can be represented schematically as in
Figure 1.
Second, teams can be treated multiple times. As soon as the key player comes back, he
is at risk of injuring himself again. Indeed, most teams lost their key player more than
6 It is also possible that key players are injured at the beginning of the season and return to the teamlater. 32 team-seasons (7.8% of the treated teams) began with an injured key player.
16 Chapter 1
Figure 1: Schematic Representation of Typical Treatment Pattern
Yes
Key Player Injury
Nopost-
treatmentpre-
treatmenttreatment post-
treatmenttreatmentPhase
Game Number
once during the long NBA season, i.e. they were treated multiple times. Around 82.5
percent of the treated teams lost their key player due to an injury at least twice. Of the
treated teams, 9.7 percent experienced six or more key player injuries (with a maximum
of 11).
Finally, key player injuries can happen at any time so that teams were treated at
different points in time. Usually, natural experiments exploit situations where treatment is
“switched on” at a certain point in time and the investigation period can be distinguished
clearly in a treatment and no-treatment phase.
The treatment assignment mechanism here differs in three important ways from text-
book treatment-control studies: (1) teams can be treated at different points in time, (2)
teams can be treated multiple times, and (3) teams can switch back and forth between
the treatment and no-treatment states. We accounted for these peculiarities with the
before-after approach and a series of robustness checks.
4.3 Randomization Check
One important step in evaluating quasi-experimental data is to check whether random-
ization has worked as intended (Angrist and Pischke, 2009). The central idea of our
identification strategy is that key player injuries have a considerable random component
and that treatment is therefore “as good as randomly assigned” to teams. Hence, we ex-
pect key player injuries to balance the characteristics of the treatment and control teams.
To assess this empirically, we compared characteristics for treated and control teams; re-
sults are shown in Table 3. We only included team characteristics that were constant over
a season and independent of the treatment.
Table 3 shows good balance between the treated teams and control teams. In general,
the differences across both groups were small and most of them were not significantly
different from zero, as indicated by the t-statistic in the last column. The only dimension
where treated and control teams differed was in salaries. On average, treated teams paid
more than control teams. As long as higher paying teams exhibit higher quality and are
therefore more adept to playing without their key player, this difference should make the
cross-section approach more conservative. Generally, the differences between the treated
and control teams were too small to support the concern that selection systematically bi-
When the Magic’s Gone 17
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ble
3:
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18 Chapter 1
ased our results. Thus, injuries appear to be random across teams and potential outcomes
should be independent from treatment status.
5 Estimation
To build robust evidence about the effect of key player absence on team performance, we
estimated a series of regressions. We decomposed the variation available in the data and
used different estimation approaches. The models differ in their approach to constructing
the required counterfactual, i.e. the outcome of the treated teams had they not been
treated. The analysis proceeded as follows: First, we followed a cross-section approach
and compared treated and untreated teams at a fixed time. Second, we employed a
before-after approach and compared treated teams to themselves. Third and lastly, we
utilized a difference-in-differences approach and compared treated teams to themselves
incorporating a counterfactual time trend. The difference-in-differences approach plays a
central role in the empirical strategy because it exploits all variation available in the data.
We thus use this as the preferred approach to evaluate the role of key players in teams.
Since we are interested in marginal effects, we estimated linear probability models for all
three approaches. When it comes to marginal effects, the linear probability model is as
good as nonlinear models that explicitly account for the binary nature of the dependent
variable, such as logit or probit models (Angrist and Pischke, 2009).
5.1 Cross-Section Approach
The cross-section approach compares outcomes of treated and control teams at a specific
point in time. It thus uses the outcome of the untreated teams at the same point in
time to approximate the counterfactual situation. The cross-section estimator disregards
variation over time (within variation) and exploits variation between teams (between
variation).
The key identifying assumption of the cross-section approach is that treated and control
teams on average have the same no-treatment outcome (Heckman et al., 1999). The
randomization check revealed that treated teams did not differ systematically from control
teams. Thus, the cross-section estimator does not suffer from selection bias. Another
concern with the cross-section approach in this empirical setting is that teams which serve
as the control group at one point in time could have been treated before (as they switch
between treatment states). To address this issue, we assessed how far prior treatment
“contaminated” the teams as controls at later stages in a robustness check.
One way to implement the cross-section approach econometrically is to “slice” the
sample into 82 cross-sections, one for each regular season match day. The treatment
group then consists of teams with a key player injury at that match day. Teams that
did not suffer from a key player injury at the same match day form the control group.
When the Magic’s Gone 19
To obtain the cross-sections, we successively restricted the sample to one point in time
and performed an ordinary least squares (OLS) estimation with the following estimating
equation:
Wini = β0 + β1InjuredKeyP layeri + β2Homei + β3BacktoBacki
+ β4OpponentWinPercentagej + εk + θl(1)
We also incorporated franchise and season fixed effects, εk and θl. They capture ef-
fects specific to one franchise (e.g., training facilities) or one season (e.g., schedule or rule
changes). Note that the cross-sections were compiled of games from different seasons be-
cause we pooled games by match days, not by calendar date. The underlying assumption
is that important dynamics operate identically within the seasons. The variable of interest
is InjuredKeyP layeri, which serves as a treatment indicator giving a causal estimate for
the effect of key player absence on team performance.
5.2 Before-After Approach
The before-after approach focuses on treated teams, i.e. teams that at some point experi-
enced a key player injury. For those teams, it compares the outcomes of the pre-treatment
period to the outcomes of the (subsequent) treatment period.7 In other words, the treated
teams are compared to themselves. This is intuitively appealing because many factors
that potentially influence team performance are held constant in the comparison.
The key identifying assumption is that, among treated teams, the mean outcome in the
no-treatment state is the same in both periods (Heckman et al., 1999). This assumption
would be problematic if there existed a time trend in the outcome or a transitory shock
prior to the treatment, commonly referred to as Ashenfelter’s dip (Ashenfelter, 1978). We
conducted a robustness check that included team-specific time trends to address these
issues.
To implement the before-after approach econometrically, we restricted the sample to
treated teams and censored the data when the injured key player returned from his first
injury, i.e. after the last game of the first treatment spell. Because we exclude teams
that never experienced a key player injury and censor the data, the control group consists
exclusively of the treated teams before their first key player injury. The treatment group
consists of the treated teams while their key player was absent with his first injury.
Censoring after the end of the first treatment spell also resolves problems associated
with multiple treatments and switching between treatment states. It provides a clear
comparison of pre-treatment and treatment outcomes, which ensures that the identified
7 We call this approach before-after because it is an established term in the literature on empiricalprogram evaluation (see e.g., Heckman et al., 1999). Note, however, that teams were in the treatmentstate during the second period – the “after” period.
20 Chapter 1
effect was not “contaminated” by prior treatment. On the modified sample, we performed
an OLS estimation. The estimating equation for the before-after approach was:
Winit = β0 + β1InjuredKeyP layerit + β2Homeit + β3BacktoBackit
+ β4OpponentWinPercentagej + γi + δt(2)
The structure of the model is similar to Equation 1. Instead of franchise and season
fixed effects, now team-season and match day fixed effects were included (γi and δt).
The team-season fixed effects absorb time-invariant team and season characteristics. The
match day fixed effects account for match day differences in how far the season had
progressed. Controlling for time effects is important because of the incentive structure in
the NBA. Some teams may strategically rest important players to preserve their fitness
for the playoffs (Price et al., 2010). Others may even try to lose intentionally at the end
of the regular season to improve their chances in the next rookie draft, also known as
“tanking” (Taylor and Trogdon, 2002). On the other hand, competing for the last playoff
spots can increase morale, motivation, and ultimately performance.
5.3 Difference-In-Differences Approach
The difference-in-differences approach can be seen as an extension of the before-after
approach. The counterfactual situation is approximated by evaluating the change in
performance of the treated teams around the treatment and subtracting the change in
performance of the control teams over the same period. The intuition behind this approach
is that team performance might have changed in the particular time window even if the
key player had not been injured. Therefore, the counterfactual time trend is subtracted
to ensure that the observed change in performance can be attributed to the treatment,
i.e. the injured key player.
The key identifying assumption of the difference-in-differences approach is that the
mean change in the outcome is the same in the treatment and control group in the absence
of the treatment (Heckman et al., 1999). This assumption is also known as “common
trends.” If it is valid, the change in performance among the teams of the control group
serves as a benchmark for common time effects (Heckman et al., 1999). To address the
issue of preexisting and potentially deviating time trends, we estimated a specification
that allows for team-specific time trends as a robustness check.
The difference-in-differences approach takes advantage of the longitudinal nature of
the data and uses both variation over time (within variation) and variation over teams
(between variation). Therefore, we did not restrict the sample and performed an OLS
estimation with the following estimating equation:
When the Magic’s Gone 21
Table 4: Descriptive Statistics
Descriptive statistics Correlations(39,851 Team-game obs.) (39,851 Team-game obs.)Mean SD Min Max 1 2 3 4
1. Win 0.50 0.50 0 12. Injured key player 0.15 0.36 0 1 -0.153. Home 0.50 0.50 0 1 0.33 -0.004. Back to back 0.23 0.42 0 1 -0.12 0.07 -0.335. Opponent winning percentage 0.51 0.15 0.11 0.82 -0.29 -0.00 -0.00 -0.05
Notes. This table reports descriptive statistics and correlations for all variables in the model. Betweenthe binary variables (variables 1 to 4) tetrachoric correlations are reported.
Winit = β0 + β1InjuredKeyP layerit + β2Homeit + β3BacktoBackit
+ β4OpponentWinPercentagej + γi + δt(3)
The difference-in-differences approach implies an additive structure of potential out-
comes in the no-treatment state, which is composed of a time-invariant team-season effect
and a general time effect. This is also reflected in Equation 3. The team-season fixed
effects (γi) account for time-invariant team characteristics (first difference). The time
fixed effects (δt) account for the general time trend (second difference). The difference-in-
differences approach extends the before-after approach as it neither restricts the sample
nor censors the data. Equation 2 and Equation 3 are identical and the two approaches dif-
fer in the sample restrictions in the before-after approach. As before, InjuredKeyP layerit
is the main variable of interest.
6 Results
Table 4 reports the descriptive statistics and pairwise correlations of all variables. In 15
percent of our observations teams were playing without their key player due to injury.
In general, the pairwise correlations between the variables used in the models were small
and give no reason for concerns about multicollinearity.
6.1 The Key Player Effect
Cross-section approach. A first approximation of the cross-sectional approach is achieved
by comparing the win percentages of the treated and control teams at each match day.
A simple mean comparison revealed that teams that lost their key player to an injury
won only 40.77 percent of their games while control teams won 51.77 percent, yielding
a difference of 11 percentage points. While comparing win percentages for treated and
control teams surely helps to get a first idea about the effect of key player absence on
22 Chapter 1
Figure 2: Key Player Effect – Results from the 82 Match Day Cross-Sections
0.10
-0.05
-0.10
0.05
0
-0.15
-0.20
-0.25
00.2 0.10.30.40.50.9 0.8 0.7 0.6
p-value
Coe
ffici
ent
estim
ate
Notes. This figure presents the plot of the coefficient estimates from the cross-sectional approach.Each dot represents the estimate of the treatment effect from one of the 82 match day regressions andis placed according to its effect size (vertical axis) and significance (horizontal axis). P-values werecalculated based on robust standard errors, clustered at the team-level. The dashed line represents the5% significance level. The horizontal line represents the mean point estimate.
team performance, it is a somewhat naive assessment.
A more sophisticated version of the mean comparison is achieved by splitting the sample
by the 82 regular-season match days, adding control variables, and running match day
regressions as outlined in Equation 1. The results of the match day regressions are depicted
in Figure 2. The 82 dots in the figure represent the estimates of the treatment effect. They
are placed according to their effect size and significance level. Figure 2 shows that in 27
of the 82 cross-sections, there was a significant negative effect of key player absence on
team performance (at the 5% level; 41 at the 10% level). In 47 regressions, the effect was
negative but not significant. Only in eight match day regressions did we find a positive
effect from key player absence; however, the effect was never significant. The estimates
fluctuated due to rather modest sample size as each cross-section utilized between 410
and 474 observations. On average, the coefficient for the indicator variable Injured Key
Player was -0.0965 (horizontal line).
The results of the match day regressions thus conform to the first impression given
by the naive mean comparison and consistently suggest a negative effect of key player
absence on team performance.
Before-after approach. In the before-after approach, we test the effect of key player
absence on team performance by comparing the treated teams to themselves. The esti-
When the Magic’s Gone 23
Table 5: Key Player Effect – Before-After Estimation and Difference-In-DifferencesEstimations
Before-after Difference-in-differences(DV: win) (DV: win)
(1) (2) (3)
Injured key player -0.0496** -0.0683*** -0.0641***(0.0177) (0.0086) (0.0081)
Home 0.2019*** 0.2029***(0.0086) (0.0050)
Back to back -0.0393*** -0.0375***(0.0095) (0.0054)
Opponent win percentage -0.9722*** -0.9738***(0.0249) (0.0141)
Team-season fixed effects Yes Yes YesMatch day fixed effects Yes Yes YesR2 0.1439 0.0037 0.1347Obs. 11,181 39,851 39,851
Notes. This table reports estimation results from the before-after regression and the difference-in-differences re-gressions. The dependent variable in all models is a dummy variable for winning the game. Column (1) reportsthe results of the before-after regression (Equation 2). Column (2) reports the results of the difference-in-difference regression without controls. Column (3) reports the results of the difference-in-differences regressionwith controls (Equation 3). Robust standard errors clustered at the team level are in parentheses. Significancelevels: * p<0.05; ** p<0.01; *** p<0.001.
mating equation of the before-after approach is given in Equation 2. The first column
of Table 5 presents the corresponding results. We found a significant negative effect of
key player absence on team performance, where the probability of winning fell by 4.96
percentage points when a key player was injured. This is in line with the results from
the cross-section approach, although the effect size was greater. Compared to the cross-
section approach, the sample size in the before-after approach was bigger, which increased
the precision of the estimates. However, the before-after approach utilized only one fourth
of the observations due to the imposed sample restrictions.
Difference-in-differences approach. For the last step, we estimated the difference-in-
differences model. It utilized the full wealth of the longitudinal data and is therefore
critical in evaluating the effect of key player absence on team performance. The results
of the difference-in-differences approach are given in the second and third column of
Table 5. The second column reports the results from the difference-in-differences model
estimated without controls. The third column reports the results from the model with
a full set of controls, as outlined in Equation 3. We again found a significant negative
effect of key player absence on team performance. With their key players out the teams’
probability of winning decreased on average by 6.83 percentage points (estimation without
controls) and 6.41 percentage points (estimation with controls). Adding controls to the
estimation changed the estimate of the treatment effect only slightly. Instead, the controls
24 Chapter 1
increased the precision of the estimate and the explanatory power of the model. Utilizing
all variation in the data, the standard errors were roughly halved (compared to the before-
after estimates). The negligible change in the treatment effect supports the idea that key
player injuries are not correlated with other explanatory variables, i.e. that the treatment
is indeed exogenous.8 This also implies that adding more control variables would not
change the estimate. It is noteworthy that not only the treatment effect but also the
coefficients of the control variables were estimated consistently across all models. Overall,
the results of the different approaches paint a consistent picture: Irrespectively of how we
modeled the counterfactual situation, we found a significant negative effect of key player
absence on the teams’ probability of winning.
6.2 Underlying Mechanisms of the Key Player Effect
We advanced three potential mechanisms that underlie the negative effect of key player
absence on team performance: (1) imperfect skill substitution, (2) loss of complementar-
ities between the key players and their teammates, and (3) reduced effort by the players
left behind. While it is hard to come up with one conclusive test to assess the relative
importance of the mechanisms, we exploit the rich detail in the data and provide evidence
from several analyses.
First insights can be obtained by analyzing if and how the effect of key player absence
differs by key player type. To evaluate this we differentiated the general treatment in-
dicator by three dummy variables that indicate the injuries of helpful, productive, and
all-star key players. Additionally, we included an indicator for the injury of a regular
player, which is a player that ranks among the top five in average minutes played (up
to the focal game) and is not a key player. The results are given in the first column of
Table 6. The baseline is a situation where all regular players are available, i.e. neither
a key nor a regular player is injured. Compared to this baseline, the injury of a helpful
key player decreased the teams’ chances of winning by 3.96 percentage points, the injury
of a productive key player by 7.71 percentage points, and the injury of an all-star key
player by 8.15 percentage points (the injury of a regular player by 2.29 percentage points).
Although the absence of all key player types had a negative effect on team performance,
it makes a difference what type of key player a team is missing. The key player effect is
largely driven by the productive key player types, which is a first indication that imperfect
skill substitution drives the main effect. Of course, individual productivity in a team does
not have to be the result of irreplaceable skills, but can arise from complementarities with
other team members, too. However, the absence of a helpful key player is directly linked
to the loss of complementarities, because helpful key players enhance the productivity of
8 We also estimated a specification where we excluded the 63 control team-seasons. Naturally, this didnot change the estimate of the treatment effect. More importantly, the other point estimates remainedlargely unchanged supporting again the exogeneity of injuries to the other variables in the model. Detailedresults are available upon request.
When the Magic’s Gone 25
Ta
ble
6:
Un
der
lyin
gM
ech
an
ism
s–
Diff
eren
ce-I
n-D
iffer
ence
sE
stim
ati
on
s
Diff
eren
ce-i
n-d
iffer
ence
s(D
V:
Win
)(D
V:
Eff
ort)
Key
pla
yer
Inju
ryK
eyp
laye
r-E
ffor
tE
ffor
tD
efen
sive
typ
esn
um
ber
team
exp
erie
nce
reb
oun
ds
(1)
(2)
(3)
(4)
(5)
(6)
Inju
red
key
pla
yer
-0.0
497*
*-0
.064
7***
0.05
590.
0008
(0.0
162)
(0.0
081)
(0.0
604)
(0.0
013)
Inju
red
regu
lar
pla
yer
-0.0
229*
**(0
.006
0)In
jure
dh
elp
ful
key
pla
yer
-0.0
396*
**(0
.010
7)In
jure
dpr
od
uct
ive
key
pla
yer
-0.0
771*
**(0
.012
0)In
jure
dal
lsta
rke
yp
laye
r-0
.081
5***
(0.0
192)
Fir
stke
yp
laye
rin
jury
-0.0
556*
**(0
.012
9)S
econ
dke
yp
laye
rin
jury
-0.0
934*
**(0
.014
5)T
hir
dke
yp
laye
rin
jury
-0.0
608*
**(0
.016
3)F
ourt
hke
yp
laye
rin
jury
-0.0
595*
*(0
.021
2)F
ifth
orm
ore
key
pla
yer
inju
ry-0
.035
3+
(0.0
196)
Key
pla
yer-
team
exp
erie
nce
0.00
05**
*(0
.000
2)In
jure
dke
yp
laye
r-0
.000
1x
key
pla
yer-
team
exp
erie
nce
(0.0
002)
Def
ensi
vere
bou
nd
per
cen
tage
0.45
55**
*0.
4814
***
(0.0
280)
(0.0
306)
Inju
red
key
pla
yer
x-0
.165
5*d
efen
sive
reb
oun
dp
erce
nta
ge(0
.082
5)
26 Chapter 1
(Table
6C
ontinued)
Diff
erence-in
-diff
erences
(DV
:W
in)
(DV
:E
ffort)
Key
player
Inju
ryK
eyp
layer-E
ffort
Eff
ortD
efensive
types
nu
mb
erteam
experien
cereb
oun
ds
(1)(2)
(3)(4)
(5)(6)
Hom
e0.2026***
0.2029***0.2039***
0.1969***0.1968***
0.0133***(0.0050)
(0.0050)(0.0059)
(0.0051)(0.0051)
(0.0008)B
ackto
back
-0.0368***-0.0375***
-0.0358***-0.0363***
-0.0363***-0.0016
+
(0.0054)(0.0054)
(0.0059)(0.0053)
(0.0053)(0.0009)
Op
pon
ent
win
percen
tage-0.9770***
-0.9741***-0.9769***
-0.9778***-0.9777***
(0.0142)(0.0141)
(0.0158)(0.0140)
(0.0140)O
pp
onen
toff
ensive
-0.9972***reb
oun
dp
ercentage
(0.0145)A
ttend
ance
0.0000(0.0000)
Team
-seasonfi
xedeff
ectsY
esY
esY
esY
esY
esY
esM
atchd
ayfi
xedeff
ectsY
esY
esY
esY
esY
esY
esR
20.1370
0.13450.1505
0.14260.1427
0.1262O
bs.
39,29739,851
30,82539,851
39,85139,660
Notes.
Th
istab
lerep
ortsestim
ationresu
ltsfrom
diff
erence-in
-diff
erences
regressions.
Th
ed
epen
den
tvariab
lein
Colu
mn
s(1)
to(5)
isa
du
mm
yvariab
lefor
win
nin
gth
egam
e.T
he
dep
end
ent
variable
inC
olum
n(6)
isd
efensive
rebou
nd
rercentage,
defi
ned
asth
eteam
’sd
efensive
rebou
nd
sd
ivided
byth
ereb
oun
dch
ances.
Colu
mn
(1)in
clud
esin
teractionterm
sfor
diff
erent
keyp
layertyp
es.C
olum
n(2)
inclu
des
aset
ofin
dicator
variables
forth
ekey
player
inju
ryn
um
ber.
Colu
mn
(3)in
clud
esan
interaction
forkey
player-team
experien
ce.C
olum
n(4)
inclu
des
defen
sivereb
oun
dp
ercentage
asa
measu
refor
effort.
Colu
mn
(5)ad
dition
allyin
clud
esan
interaction
betw
eend
efensive
rebou
nd
percen
tagean
dth
etreatm
ent
ind
icator.C
olum
n(6)
inclu
des
am
od
ified
setof
control
variables
specifi
cto
the
dep
end
ent
variable,
defen
sivereb
oun
dp
ercentage.
Rob
ust
stand
arderrors
clustered
atth
eteam
levelare
inp
arenth
eses.S
ignifi
cance
levels:+
p<
0.10;*
p<
0.05;**
p<
0.01;***
p<
0.001.
When the Magic’s Gone 27
Figure 3: Underlying Mechanisms – Dynamics of the Treatment Effect
0
0.04
-0.04
-0.08
-0.12
-0.16
-0.20
Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7or longer
Tre
atm
ent
effe
ct
Time of absence
Notes. This figure presents the plot of the coefficients of the difference-in-differences regres-sion where the treatment indicator variable was replaced by a set of interaction terms thatindicate the duration of key player absence. The dots represent the estimates of the interac-tion between the treatment effect and seven indicator variables corresponding to the weeks ofabsence (counted from the date of the first missed game). The whiskers represent the 95%confidence interval (corresponding to robust standard errors, clustered at the team-level).
their team-mates by assisting them. Therefore, we would expect a strong absence effect
of helpful key players if the loss of complementarities or demotivation of effort were the
dominant mechanisms underlying the key player effect. Later, we return to exploring
these mechanisms in greater depth.
Another informative aspect is the dynamics of the treatment effect. Depending on
which mechanism dominates, one should expect different dynamics. If the effect is driven
by imperfect skill substitution, it would remain largely unchanged over time and team
performance should exhibit no significant signs of recovery until the key player returns
and brings back the unique skills. In contrast, if the effect is primarily caused by lost
complementarities between the key players and their teammates or reduced effort by the
remaining team members, it would reduce over time and eventually vanish. This, of
course, assumes that new complementarities between the key player’s substitute and the
rest of the team arise over time (due to training effort and match practice) and that
demotivation is temporary and teams accept playing without their key players after a
while.
To assess what mechanism is salient, we estimated a specification in which the treatment
indicator is interacted with a set of variables that indicate the duration of key player
absence in weeks. Figure 3 depicts the dynamics of the treatment effect by graphing the
28 Chapter 1
estimates with the 95 percent confidence intervals around them. The graph shows an
immediate and persistent decrease in the chances of winning in the aftermath of a key
player injury. The treatment effect ranged between a 4.28 and 9.80 percentage points
decrease. Naturally, longer absence durations were estimated with fewer teams, which is
also reflected in broader confidence intervals. Overall, Figure 3 shows no signs of recovery
– the key player effect was permanent and relatively stable over time. This suggests that
teams miss the skills embodied in the key player, and indicates that the key player effect
is largely driven by imperfect skill substitution and less so by lost complementarities or
reduced effort.
Analyzing the chronology of the key player injuries provides a slightly different version of
this dynamic argument. We therefore differentiated key player injuries by their temporal
occurrence, numbered them and replaced the general treatment indicator with a set of
dummy variables for the first key player injury, the second key player injury, etc. The
second column of Table 6 reports the results. They show that the effect of key player
absence was relatively stable across the number of injuries. This again implies that the
teams do not learn to live without their key player. Rather, they miss their key player
again and again, presumably due to his irreplaceable skills. Note that these results can
also be interpreted as a robustness check. Viewed from this perspective, the second column
of Table 6 shows that the key player effect is robust to differentiating key player injuries
by their temporal occurrence.
A more direct test for the loss of complementarities is to evaluate the level of comple-
mentarities within the team and analyze whether they moderate the key player effect.
We measured complementarities between the key players and their team-mates by the
amount of time they have played together. The degree of dyad-level experience can be
employed as a measure for coworker complementarity for two reasons (Hayes et al., 2006):
First, investments in coworker specific skills accrue over time. Second, matches with low
complementarities are dissolved over time, while highly complementary dyads persist.
Therefore, we calculated how many games the key player has played with each of the
team-mates up to the focal game (at the dyad-level). To arrive at a team-level measure,
we computed the average for all team members that have played in the focal game. We
estimated a specification where we interacted this variable with the treatment indicator.
To ensure that the estimates did not suffer from left-censoring, we excluded the first four
years and restricted the sample to the seasons 2002 to 2013 (the average career of a NBA
player is between four and five years).9 The results are reported in the third column of
Table 6. They indicate that the dyad-level experience between the key players and their
team-mates positively affects team performance, but does not alter the key player effect
significantly. This again suggests that the loss of complementarities is not the dominant
9 To make sure that the sample restriction did not drive the results, we ran a robustness check with thefull sample. The moderating effect was the same in the full sample. Detailed results are available uponrequest.
When the Magic’s Gone 29
Table 7: Underlying Mechanisms – Split Sample Estimations
Difference-in-differences(DV: Win)
Split sample by: Team’s productivity Team’s helpfulnessdistribution distribution
Low inequality High inequality Low inequality High inequality(1) (2) (3) (4)
Injured productive -0.0190 -0.1152*** -0.0809** -0.1067***key player (0.0244) (0.0290) (0.0239) (0.0247)Injured helpful -0.0112 -0.0869*** -0.0199 -0.0751**key player (0.0207) (0.0243) (0.0204) (0.0227)Controls Yes Yes Yes YesTeam-season fixed effects Yes Yes Yes YesMatch day fixed effects Yes Yes Yes YesR2 0.1502 0.1495 0.1457 0.1545Obs. 7,015 6,688 6,972 7,727
Notes. This table reports estimation results from split sample difference-in-differences regressions. The depen-dent variable in all models is a dummy variable for winning the game. Controls include Home, Back to Back,and Opponent Win Percentage. Column (1) reports the results for teams with low inequality in individualproductivity. Column (2) reports the results for teams with high inequality in individual productivity. Column(3) reports the results for teams with low inequality in individual helpfulness. Column (4) reports the resultsfor teams with high inequality in individual helpfulness. Inequality was measured by the team’s Gini coefficientof individual points (productivity) and assists (helpfulness), respectively. Calculations of the Gini coefficientwere based on games with the key player. Teams in the bottom quartile were classified as low inequality.Teams in the top quartile were classified as high inequality. Robust standard errors clustered at the team levelare in parentheses. Significance levels: * p<0.05; ** p<0.01; *** p<0.001.
mechanism underlying the key player effect.
Similarly, we used defensive rebounds as a measure for effort to directly test the third
mechanism of demotivation and reduced effort. Specifically, we employed Defensive Re-
bound Percentage which records the team’s defensive rebounds divided by the rebound
chances, i.e. the opponent’s missed shots. Defensive rebounds are a good measure for
effort for several reasons. First, rebounding is considered to be less skill-driven than other
aspects of basketball, because it is mostly about getting in a good position and defend-
ing it. This exercise is known as “boxing out” in the NBA, which stresses its physical
and occasionally painful nature. Still, a lot of the sweat is in vain due to the random
nature of the ball bounces. Moreover, rebounds are not as vivid as as other (offensive)
aspects of the game and are rewarded less (Wang, 2009). As a first step in analyzing the
relationship between key player absence and effort, we included Defensive Rebound Per-
centage as an independent variable in the estimation. The results are given in the fourth
column of Table 6. As could be expected, effort had a positive and significant effect on
teams’ chances of winning. More importantly, the inclusion did not change the estimate
of the treatment effect, which suggests that the key player effect does not operate via
effort. To investigate this further, we estimated an interaction model between key player
injuries and defensive rebounds. The results are reported in the fifth column of Table 6.
30 Chapter 1
The negative and significant coefficient for the interaction term indicates that effort has
a smaller effect on the winning probability in the case of a key player injury, suggesting
that teams cannot compensate for the loss of a key player by increasing defensive effort.
Finally, we specified a model that directly related key player absences to effort by em-
ploying Defensive Rebound Percentage as the dependent and Injured Key Player as the
independent variable. We also changed the set of control variables and included variables
for the opponent’s offensive rebounding quality and attendance. The results are presented
in the sixth column of Table 6. Key player absence did not change defensive rebounding
significantly, suggesting that teams do not exert less effort after losing their key player.
Overall, the results thus consistently suggest that demotivation and reduced effort is not
the mechanism underlying the key player effect.
Finally, the imperfect skill substitution mechanism can be tested more directly by
exploring how scarce the key players’ skills are in the teams. If imperfect skill substitution
drives the effect, we should see a stronger key player effect in teams where the key player’s
skills are scarcer. To assess the scarcity of the key player’s skill, we measured the team’s
inequality in individual productivity and helpfulness by the Gini coefficient of individual
points and assists, respectively. We then split the sample by the degree of inequality,
where we classified teams in the top quartile as teams with high inequality and teams in
the bottom quartile as teams with low inequality. On those subsamples we estimated the
effect of missing a productive and helpful key player. The intuition behind this procedure
is that the skills that make a key player productive are scarcer in teams with only a few
productive team members. Allstar key players and their teams were excluded from this
analysis. The results are presented in Table 7. The first and second columns of Table
7 reveal that the injury of a productive key player decreased the probability of winning
by 11.52 percentage points for teams with high inequality in productivity. In contrast,
the effect was not significant in teams where individual productivity was more balanced.
Similarly, the third and fourth columns of Table 7 show that the absence of a helpful
key player decreased the chances of winning by 7.51 percentage points for teams with
high inequality in individual helpfulness and had no significant effect on teams with low
inequality. Overall, Table 7 thus supports the idea that key players are missed more,
the scarcer their skills are. This lends further credence to the imperfect skill substitution
story.
6.3 Robustness Checks
We estimated a series of specifications to examine the robustness of our results.
Heterogeneity in injuries. One potential concern is the considerable heterogeneity in
key player injuries. Teams can be treated multiple times and switch between treatment
and no-treatment states. Most models averaged over all key player injuries. A potential
When the Magic’s Gone 31
problem with this procedure is that we might have mingled very different situations that
should be analyzed separately. By focusing on the first key player injury and the period
before that, the before-after approach was a first step in reducing treatment heterogeneity.
We explored treatment heterogeneity further with another robustness check.
Specifically, we added an indicator variable for the post-treatment period to the esti-
mation. The variable becomes one when the team played with its key player but had
experienced a key player injury before (see Figure 1). The first column of Table 8 shows
that the results are robust to this inclusion. Compared to the third column of Table 5,
the effect of key player absence was slightly higher. More importantly, the coefficient
for the post-treatment phase was insignificant, implying that team performance did not
differ significantly between the pre- and post-treatment period. Having experienced a key
player injury before does not have persistent effects on team performance. Thus, prior
treatments do not “contaminate” teams used as controls at later stages.
Specific time trends. For internal validity, the difference-in-differences approach re-
quires treated and control units to follow a parallel time trend. Our research setting
involves multiple treated and control units that are treated at different points in time.
Therefore, evaluating the common trends assumption graphically is rather difficult. An
alternative is to include unit-specific trends in the estimation (see e.g., Besley and Burgess,
2004). To alleviate concerns about potential time trends, we thus estimated a model that
included (linear) team-specific trends. The second column of Table 8 reveals that the re-
sults are robust to including team-specific time trends. The treatment effect was slightly
reduced but remained stable, at around six percentage points. Thus, the key player effect
is not driven by preexisting team-specific time trends.
Non-injury absences. To ensure that the treatment is exogenous, we focus on key player
absences due to injuries. The dummy Injured Key Player is coded as zero in cases where
the key player was available from a medical standpoint. In the vast majority of these
cases, the key player played. In some cases, however, the key player was fit but still did
not play. For example, coaches may have decided to strategically rest their key players
or there may have been family matters, e.g. births or bereavements. To ensure that the
coding of the treatment indicator did not drive our results, we estimated a specification
where we included an additional indicator variable for key player absences due to reasons
other than injuries. The third column of Table 8 reveals that the results are robust
to this inclusion. The coefficient of the newly defined variable Absent Key Player was
significantly negative and greater than for injury absences. This is not surprising, as non-
injury absences are planned or at least approved by the team manager. Resting a key
player is a signal to the team, which affects team performance and is presumably only
sent in less important games. Thus, the new variable not only reflected the effect of key
player absence but also other factors tied to performance, e.g. reduced motivation and
32 Chapter 1
Ta
ble
8:
Ro
bu
stness
Ch
ecks
–D
ifferen
ce-In-D
ifferen
cesE
stima
tion
s
Diff
erence-in
-diff
erences
(DV
:W
in)
(Altern
ativeD
Vs)
Post-treatm
ent
Sp
ecific
Oth
erR
egular
Regu
larR
egular
Poin
tP
oints
trend
sab
sences
player
inju
ryp
layerin
jury
seasond
ifferen
tial(1)
(2)(3)
(4)(5)
(6)(7)
(8)
Inju
redkey
player
-0.0756***-0.0598***
-0.0672***-0.0640***
-0.0643***-1.7459***
-2.2572***(0.0111)
(0.0087)(0.0081)
(0.0081)(0.0082)
(0.2043)(0.1981)
Post-treatm
ent
perio
d-0.0148(0.0093)
Ab
sent
keyp
layer-0.0997***
(0.0172)In
jured
regular
player
-0.0230***-0.0227***
(0.0061)(0.0060)
Hom
e0.2029***
0.2029***0.2023***
0.2024***0.2026***
0.1977***6.2988***
3.1541***(0.0050)
(0.0051)(0.0050)
(0.0050)(0.0050)
(0.0051)(0.1297)
(0.1138)B
ackto
back
-0.0375***-0.0378***
-0.0371***-0.0382***
-0.0369***-0.0390***
-1.2953***-0.6358***
(0.0054)(0.0054)
(0.0054)(0.0054)
(0.0054)(0.0054)
(0.1389)(0.1239)
Op
pon
ent
win
percen
tage-0.9740***
-0.9740***-0.9742***
-0.9773***-0.9767***
-0.9704***-27.8826***
(0.0141)(0.0143)
(0.0141)(0.0142)
(0.0142)(0.0144)
(0.3741)O
pp
onen
tp
oints
allowed
0.9930***(0.0117)
Min
utes
1.8159***(0.0335)
Team
-seasonfi
xedeff
ectsY
esY
esY
esY
esY
esY
esY
esY
esM
atchd
ayfi
xedeff
ectsY
esY
esY
esY
esY
esY
esY
esY
esT
eam-sp
ecific
time
trend
sN
oY
esN
oN
oN
oN
oN
oN
oR
20.1349
0.12620.1361
0.13170.1365
0.14040.1662
0.2477O
bs.
39,85139,851
39,85139,297
39,29737,269
39,85139,680
Notes.
Th
istab
lerep
ortsestim
ationresu
ltsfrom
severald
ifferen
ce-in-d
ifferen
cesregression
sas
robu
stness
checks.
Colu
mn
(1)in
clud
esan
ind
icatorvariab
lefor
the
post-treatm
ent
perio
d.
Colu
mn
(2)in
clud
esa
setof
interaction
variables
allowin
gfor
team-sp
ecific
time
trend
s.C
olum
n(3)
inclu
des
anin
dicator
variable
forkey
player
absen
ced
ue
ton
on-m
edical
reasons.
Colu
mn
(4)rep
lacesth
etreatm
ent
ind
icatorby
anin
dicator
forth
ein
jury
ofa
regular
player.
Colu
mn
(5)in
clud
esin
dicators
forb
othkey
and
regular
player
inju
ries.C
olum
n(6)
restrictsth
esam
ple
toregu
larseason
games.
Colu
mn
s(7)
and
(8)rep
ortresu
ltsfor
alternative
dep
end
ent
variables:
poin
td
ifferen
tialin
Colu
mn
(7)an
dp
oints
inC
olum
n(8).
Rob
ust
stand
arderrors
clustered
atth
eteam
levelare
inp
arenth
eses.S
ignifi
cance
levels:*
p<
0.05;**
p<
0.01;***
p<
0.001.
When the Magic’s Gone 33
effort.
Absences of other team members. Another possible objection to the results presented
thus far is that they be might driven by simply losing any player and hence do not
necessarily reflect a key player effect. To address these concerns, we conducted two
robustness checks that investigate the injuries of non-key players. First, we estimated
the effect of missing an important team member, who is not a key player. Therefore, we
constructed an indicator variable Injured Regular Player that switches to one whenever
the team lost, due to an injury, a team member that ranked within the top five of average
minutes played (up to the focal game) and was not a key player. The fourth column of
Table 8 shows that missing a regular player significantly decreased the team’s probability
of winning, although at a distinctly lower rate than for missing a key player (2.30 vs 6.41
percentage points). More importantly, the fifth column of Table 8 shows that the key
player effect is robust to including injuries of regular players. This dispels concerns about
absences of other important players or injury crises driving the key player effect.
Panel attrition. Furthermore, we conducted a robustness check that addresses potential
panel attrition bias. Bias from panel attrition can arise when the dropout probability is
correlated with the random term in the model (Hausman and Wise, 1979). In this empir-
ical setting, including playoff games could introduce problems similar to panel attrition.
We observed playoff teams more frequently than non-playoff teams and it is clearly not
random which teams make it to the playoffs. Therefore, we conducted a robustness check
where the sample was restricted to regular season games. These results are presented in
the sixth column of Table 8. The sample was reduced by 2,582 team-game observations
but the results stayed virtually the same.
Alternative team performance measures. Finally, we conducted two robustness checks
with alternative measures of team performance. First, we employed point differential as
the dependent variable. The point differential captures the margin by how many points
the team won or lost the game. The results are reported in the seventh column of Table 8.
Like in the main analysis, the key player effect was significant and negative. On average,
the teams’ point differential was decreased by 1.75 points when they played without their
injured key player.
Second, we evaluated team performance by points scored. As we identified key play-
ers based on their offensive contribution, it seems natural to focus on a measure that
also resides on the offensive side of the game (as points). To account for the specificity
of the dependent variable, we altered the model slightly. In particular, we added the
variable Minutes, which records the length of a game in minutes and captures scoring
opportunities.10 We also replaced the variable Opponent Win Percentage (reflecting op-
10 Games that are tied at the end of the regular playing time go into overtime. The overtime consists of
34 Chapter 1
ponent quality in general) by Opponent Points Allowed, which records the average of
points per game the opponent team has conceded during the season and hence captures
the opponent’s defensive quality more specifically. The results are reported in the eighth
column of Table 8. Again, we found a significant negative effect of key player absence on
team performance. With their key players out, the teams scored on average 2.26 points
less. Overall, Table 8 shows that the effect of key player absence on team performance is
remarkably robust.
7 Discussion and Conclusion
Our results provide clear evidence for the importance of outstanding individual talent in
team settings. While research has begun to recognize the importance of individuals and
how their efforts aggregate into team performance, our research provides causal evidence
of the effect and highlights the mechanism at work. Utilizing injuries of key NBA players
as a quasi-experiment allows us to examine the causal effect of key player absence on team
performance. In different econometric approaches, we found that losing a key player had
a robust and economically meaningful negative effect on a team’s winning probability.
These findings are relevant for strategy scholars as it is important to anchor higher-
order constructs such as team or organizational performance on lower levels, meaning the
individual who works alone and jointly to achieve an outcome (Foss and Pedersen, 2016).
We proposed and tested three mechanisms that potentially drive the key player effect:
(1) imperfect skill substitution, (2) the loss of complementarities, and (3) reduced effort
by remaining players. Our results suggest that imperfect skill substitution is the dominant
mechanism underlying the performance effect of losing a key player. It is the unique skills
embodied in the key player that the team is missing when playing without him. The
minor role of effort, team fit, and complementarities is surprising given that the literature
routinely stresses the importance of team familiarity, work routines, and team composition
(e.g., Bantel and Jackson, 1989; Huckman et al., 2009; Weick and Roberts, 1993). This
literature would suggest that teams learn how to act in the absence of a key player,
develop new routines, and perhaps ultimately raise the performance to the same level as
before. Our results, however, suggest that living without a key player is more difficult than
commonly assumed: special skills of individual team members play a deciding role for team
performance. Consequently, teamwork does not dissolve the organizational dependence on
outstanding individuals. Instead, our results suggest an interesting trade-off between team
efficiency and team resilience. Maximizing complementary skill sets might be optimal
from an efficiency standpoint (Hamilton et al., 2003; Lazear, 1999; Milgrom and Roberts,
1990). However, it comes at a cost because unique skills make it particularly difficult to
overcome the unexpected loss of key personnel.
extra periods of five minutes that are added to the game until a winner is determined.
When the Magic’s Gone 35
Our findings speak to the resource-based view of the firm, which has emphasized the
importance of tacit knowledge at the organizational and team level rather than the indi-
vidual excellence of star employees (Groysberg et al., 2008). For example, Berman et al.
(2002) suggest that tacit knowledge is a source of competitive advantage and question
the strategy of hiring top talent from outside the organization. Our findings suggest that
the individual skills of key players matter for team performance. Therefore, focusing uni-
laterally on tacit knowledge and neglecting individual skills can hurt team performance.
While prior research has documented that colleague relationships and the tacit knowl-
edge embedded in them is important for individual performance (Groysberg et al., 2008),
our results show that there is reciprocal dependency: the performance of the team also
depends on the key players. The extent to which single outstanding individuals can be a
source of a sustainable competitive advantage depends on the nature of their human cap-
ital. General human capital is portable across organizations, whereas firm-specific human
capital is tied to one specific organization (Becker, 1962). Other research has examined
the interorganizational portability of individual performance and stressed the importance
of firm-specific human capital (Groysberg et al., 2008; Huckman and Pisano, 2006). The
minor role of complementarities documented in this paper suggests a substantial compo-
nent of general human capital residing in the key players. Interpreted with due care, our
results thus seem to re-shift some bargaining power towards individual top performers in
teams.
In the bigger picture, our research connects to the question of how outstanding in-
dividuals shape and influence their environment and organizations. At the peer level,
Azoulay et al. (2010) and Oettl (2012) have shown that the death of academic superstars
adversely affects the scientific output of their colleagues. Assessing potential mechanisms
behind this, Azoulay et al. (2010) interestingly found that imperfect skill substitution
alone cannot explain the extinction effect. Rather, spillovers in the “idea space” play
an important role. Similarly, Oettl (2012) demonstrated the importance of helpful scien-
tists. Both findings contrast with our results that emphasize unique individual skills and
individual productivity. There are two possible explanations for this divergence. First,
whereas Azoulay et al. (2010) and Oettl (2012) have studied the effect on direct peers, we
turned attention to the consequences for the joint output of the team. Team outcomes
are directly tied to the contribution of each individual team member. Compared to that,
spillovers among peers are more indirect. Therefore, it is intuitive that individual skills
and productivity matter more for team outcomes than for the individual outcomes of
peers. Second, while Azoulay et al. (2010) and Oettl (2012) study knowledge production,
we focused on teams of professional athletes. This illuminates that the importance of key
players and the mechanism through which they affect their surroundings depends at least
partially on the specific context. At the organizational level, Agrawal et al. (2017) have
suggested that stars can positively affect recruiting and increase the quality of new hires.
We complement the positive findings at the peer and organizational level by showing that
36 Chapter 1
outstanding individuals are also important for teamwork.
As with any research, our results should be interpreted against the backdrop of our
empirical setting. One obvious issue with evidence from professional sports is the ap-
plicability of the findings to other contexts. Studying an environment where millionaire
players face billionaire owners almost inevitably evokes the question of external validity.
At the same time, evidence should not be discounted a priori just because it comes from
high-profile environments (Kahn, 2000). The NBA is peculiar not only because of its
high-profile incentives; the single-gender composition, the constant public exposure, the
immense training effort, the highly specialized skill sets of players, the work under time
pressure, and the associated stress are all exceptional traits. Then again, many teams
work under similar circumstances. Consider, for example, physicians in surgical teams,
lawyers in law firms, general partners in venture capital firms, consultants in management
consulting firms, or engineers in technical emergency units. All of these teams are com-
posed of highly-trained specialists who work interdependently and under time pressure.
The team members also earn considerably more than the average due to their high degree
of specialization. While surgical teams may carry out their operations without direct
monitoring, consulting teams (both in law and management) as well as technical support
teams usually face a significant amount of observation (and pressure) by their customers
and in some cases even by the public. Altogether, these occupations share many charac-
teristics with the professional athletes analyzed in this study. Therefore, our results are
likely to hold in the presence of the following boundary conditions: (1) business organi-
zations where highly qualified specialists work in interdependent teams and (2) carry out
operational tasks under time pressure.
Our research also raises questions for future investigations. One important question is
how the organizational setting determines the relative importance of helpful and produc-
tive key players and how the two dimensions interrelate in other settings. Similarly, there
is some ambiguity in the eminence of individual skills that merits further attention. More
generally, the absence of key players may be associated with manifold changes at very
different levels. Particularly interesting is whether organizations can offset their loss by
hiring new employees. The possibility of responding with a new hire is very limited for
NBA teams, because top talent is scarce and the league’s labor market regulations are
severe. Thus, research in more flexible settings might help to clarify how external hires
can compensate for key player absence. Additionally, losing a key member of the team
has implications for the workflow. It would therefore be interesting to investigate how
teams adapt their processes and routines without their key player. In general, different
strategies in replacing the key player and what distinguishes successful ones from less
successful ones merit attention from future research.
In closing, how do our findings relate to the 1989 NBA Finals? Was the media right
that the Lakers loss was entirely due to Magic Johnson’s absence? Given that average
effects cannot explain each individual case, our results are by no means conclusive. Still,
When the Magic’s Gone 37
they suggest that losing Magic was indeed a major reason for the Lakers’ upset. After
all, Magic is considered one of the truly singular players in the game’s history. His unique
skill set allowed him to play multiple positions and to become the tallest point guard in
league history. Unsurprisingly, Magic was an all-star key player – one of the key player
types that this paper has shown are of exceptional importance. Replacing Magic’s skills
appears virtually impossible. It seems like the star-centered sports coverage might have
been right this time, and that it was indeed the absent key player that inked the Lakers’
destiny.
38 Chapter 1
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Out of the Shade, into the Light:
Star Absence as an
Opportunity for Non-Stars
Abstract. To develop a deeper understanding of how star employees affect
their colleagues, this paper investigates temporary star absence and its effect
on the productivity of non-stars. Exploiting quasi-experiments induced by
injuries of star players in the National Basketball Association (NBA), I analyze
changes in the offensive output of non-star players while the star is absent
and after he has come back. Compared to the pre-absence phase, non-stars
increase their offensive output while the star is absent. After long absences,
this effect becomes lasting and non-stars can sustain an increased level of
production even when the star has come back. Further analyses reveal that
junior employees particularly benefit from star absence, especially those in the
middle of the talent distribution. The key mechanism underlying these effects
is that non-stars get more opportunities to perform in the absence of the star.
Star absence thus provides new development possibilities for employees who
are usually overshadowed by the dominant star.
1 Introduction
Many organizations deem the exceptional talent of a few “high potentials” to be essential
to innovation and success. This is particularly salient in high-tech companies, where
the role of individual star employees is cultivated and legendized in stories of innovative
genius and intellectual brilliance. Take Cisco and their former employees Mario Mazzola,
Prem Jain, Luca Cafiero and Soni Jiandani. The four enigneers were an integral part of
Cisco’s spin-in strategy and helped the company to develop several of its most-lucrative
businesses (Bort, 2016). Their success gave them legendary status at and around Cisco
that is reflected by the fact that they were simply known by an acronym of their first
initials – MPLS. They were even described as the “heart, soul, brains, and mouth of Cisco”
(Bort, 2016). Unsurprisingly, it made massive waves when MPLS publicly left Cisco, with
the Business Insider writing: “Their departure is a major event for Cisco and the tech
industry segment, networking, that Cisco has ruled for more than 20 years.” Indeed,
evidence from the biotechnology sector has demonstrated that stars play an essential
44 Chapter 2
role in developing and growing new ventures and industries (Rothaermel and Hess, 2007;
Zucker et al., 1998).
At the same time, organizations face difficulties when integrating star employees (Groys-
berg et al., 2008). Too many stars can hinder group effectiveness (Groysberg et al., 2011;
Swaab et al., 2014), presumably because they fight over hierarchy and power. Consistent
with this, rumor has it that not everyone within Cisco was unhappy about the departure
of MPLS (Bort, 2016). This illuminates a tension that surrounds stars. On the one hand,
stars are treasured by organizations because they bring exceptional value. On the other
hand, they can become so dominant that they overshadow their non-star colleagues.
To shed light on the impact of stars on their colleagues, this paper investigates tempo-
rary star absence and its immediate and long-term effect on the productivity of non-star
employees. I propose that star absence opens new possibilities for the star’s colleagues.
Due to their status, visibility and social capital, stars possess power and resources (Zucker
et al., 2002), which provide them with superior performance opportunities in comparison
to their non-star colleagues (Kehoe and Tzabbar, 2015). In the absence of the star, re-
sources that were previously controlled by the star become available and are redistributed
among non-star employees. Beyond resources, star absence also affects work norms, pro-
cedures and hierarchies. The absent star leaves a void, which provides non-star employees
with new opportunities to perform. As an immediate effect of star absence the star’s
colleagues therefore increase their productivity. Moreover, the increased performance op-
portuntities trigger two-sided learning. On the one side, non-star employees engage in
learning by doing as they take on new tasks and responsibilities. On the other side, man-
agers learn about the non-stars’ abilities and how to deploy them more efficiently. This
leads to a lasting effect of star absence, where non-stars can sustain an increased level of
output even after the star has come back. To test the proposed immediate and long-term
effects of star absence, I analyze changes in the productivity of non-star employees during
and after star absence.
Simply examining changes in non-star productivity following star absence is problematic
because star absence can be endogenous in cases where managers deliberately choose to sit
stars out. To overcome endogeneity in star absence, I exploit quasi-experiments induced by
injuries of star players in the National Basketball Association (NBA). Using injuries as an
exogenous source of variation is a novel empirical strategy for analyzing the effect of team
member change (see e.g., Chen and Garg, 2018; Stuart, 2017; Thomas and Dahlander,
2017).
Professional sports data has been frequently used to study team and organizational
phenomena (e.g., Bloom, 1999; Stuart, 2017). For my purposes, utilizing NBA data has
four distinct advantages. First, NBA teams are characterized by high interdependence
(Swaab et al., 2014) mirroring many collaborative working environments in the modern
economy. Second, detailed performance data over a long season enables me not only to
distinguish star and non-star players reliably, but also to draw inference about the long-
Out of the Shade, into the Light 45
term effects of star absence. Third, the dataset provides a rare measure for each player’s
opportunity to perform, namely field goal attempts. Finally, injuries of top players can
be exploited to overcome the endogeneity in star absence allowing for causal inference.
Following prior research (e.g., Kehoe and Tzabbar, 2015; Rothaermel and Hess, 2007;
Zucker et al., 1998), I determine stars by individual productivity and define the leading
scorer of each team as a star. Consequently, I focus on injuries of teams’ top scorers and
analyze how the offensive output of their non-star colleagues changes while the star is
absent and after he has come back (for a similar empirical strategy, see Chen and Garg,
2018). Employing a difference-in-differences framework, I compare the number of points
of non-star players in three phases: pre-absence, absence and post absence. The pre-
absence phase serves as a baseline and the absence phase pins down the immediate effect
of star absence. The post absence phase is used to evaluate the long-term effect of star
absence, i.e. whether the productivity change is temporary or lasting.
Examining more than 350,000 player-game observations from the NBA seasons 1998-99
to 2013-14, I find that star absence indeed has a positive immediate impact on non-star
productivity. Non-star players increase their offensive output by 1.59 points, or 19%, while
the star is absent. Differentiating long-term effects by the length of the preceding star
absence shows that non-stars can sustain an increased level of output of 0.61 points, or
7.3%, after long absences. Mediation analyses reveal that star absence provides non-stars
with more opportunities to perform and that the increased opportunities fully mediate
the effect of star absence on non-star productivity. The opportunity mechanism explains
both the immediate increase in non-star productivity and the lasting effect of long star
absences. This suggests that opportunities play a central role for individual performance
and that long absences sustainably alter the allocation of performance opportunities.
Further analyses demonstrate that junior employees particularly benefit from star absence,
both immediately and in the long term. Interestingly, it is not the most talented juniors
that profit the most, but rookies in the middle of the talent distribution.
These findings advance our understanding of stars and their impact in four respects.
First, they demonstrate that the absence of stars can affect organizations and colleagues
very differently. While prior research has shown that star absence is detrimental to orga-
nizations and collaborative teams (e.g., Azoulay et al., 2010; Oettl, 2012; Stuart, 2017),
I establish that it can be beneficial for the star’s colleagues. Second, this paper extends
recent findings that suggest that star absence leads to improved routines (Chen and Garg,
2018) by highlighting learning processes that lead to an improved performance of non-
stars. Third, I identify performance opportunities as a key mechanism through which
stars affect their colleagues. Directly investigating the role of opportunity complements
earlier research that has suggested that stars dominate resources and thereby constrain
their colleagues (Kehoe and Tzabbar, 2015; Tzabbar, 2009). Finally, my findings call at-
tention to the characteristics of non-stars, which tend to get overlooked when explaining
the peer effects of stars. Whereas prior research is strongly centered around stars and how
46 Chapter 2
their characteristics affect non-stars (e.g., Grigoriou and Rothaermel, 2014; Oettl, 2012), I
demonstrate that non-star characteristics play an important role for the interplay between
stars and their colleagues.
2 Stars in Organizations
Stars receive special attention in public life and the business world, which is usually justi-
fied by the disproportionate value they bring to organizations. Indeed, prior research has
shown that a small group of stars produces disproportionately large amounts of scientific
discoveries (Cole and Cole, 1972), patented inventions (Ernst et al., 2000) and revenues
in creative industries (Ravid, 1999). Findings from the biotechnology sector even suggest
that whole companies and eventually industries are built around stars’ unique expertise
(Zucker et al., 1998, 2002). Beyond individual output, stars can enhance their organiza-
tions by improving recruiting (Agrawal et al., 2017) and directing research efforts towards
promising areas (Rothaermel and Hess, 2007).
Due to their disproportionate value, stars not only enjoy special social status within
firms, but also superior visibility in the external labor market (Groysberg et al., 2008).
Stars possess lucrative outside employment options as competing firms may try to lure
them away. While the extent is contingent on the portability of the star’s skills (Groysberg
et al., 2008; Huckman and Pisano, 2006), companies thus face a constant risk that their
stars could leave. Taken together, their exceptional value and the credible threat of leaving
provide stars with considerable internal bargaining power, which they can utilize to accrue
resources within the organization. Zucker et al. (2002) document that star scientists in
the biotechnology industry attract and control key resources within and between firm
boundaries, which they use to promote their research programs. How internal status
translates into resources is exemplified by MPLS, who were believed to have their very
own strategy to attract additional funding for their spin-ins: they just called Cisco’s CEO
directly (Bort, 2016). Besides absorbing formal resources, stars can also exercise their
influence informally since they possess central positions in intrafirm networks (Paruchuri,
2010). Supporting this, Tzabbar (2009) demonstrates that influential star scientists exert
influence on the technological positioning of their firms.
In general, stars will use their power to sustain their unique, high-status positions that
are financially lucrative (Rosen, 1981) and allow them to pursue their personal agenda
without being contested (Overbeck et al., 2005). They have little incentive to use their
tangible resources and informal power to develop new stars within the organization (Kehoe
and Tzabbar, 2015). As a result, stars may strategically withhold resources from up-and-
coming colleagues. Similarly, their tendency to share knowledge and engage in cooperative
behaviors may be limited (Groysberg et al., 2011). Again, MPLS provide an example for
this: colleagues suspected that the four engineers made use of their internal influence to
criticize and even derail projects that competed with their own interests (Bort, 2016).
Out of the Shade, into the Light 47
The concentration of power and resources on star employees has implications for the
colleagues surrounding them. Resources are scarce and even capable and motivated em-
ployees will struggle to perform well without them (Call et al., 2015; Ericsson et al., 1993).
As stars absorb scarce resources, they thus limit performance opportunities for non-stars.
In line with this, Kehoe and Tzabbar (2015) demonstrate that stars constrain the emer-
gence of new innovative leaders in biotechnology firms: As stars dominate their firms’
research efforts, few resources are available for non-star scientists to develop their own re-
search agenda. Similarly, Tzabbar (2009) shows that stars limit the technological impact
of newly-hired scientists because they dominate corporate knowledge and resources.
3 Star Absence and Opportunity
The dominant role of stars within organizations suggests that non-star colleagues can
benefit from star absence. The absence of stars disrupts organizational structures, work-
flows and routines (Chen and Garg, 2018; Stuart, 2017). In particular, resources which
were previously controlled by the star are now redistributed among non-star colleagues.
Supporting this idea, Tzabbar and Kehoe (2014) demonstrate that the departure of highly
involved star scientists unlocks resources and creates new opportunities for exploration
and technological renewal in biotechnology firms. Similarly, Azoulay et al. (2018) show
that deaths of star scientists induce new scientists to enter their scientific fields and evolve
them into novel directions. While the star was alive, outsiders’ entry was hindered by
resource constraints and by intellectual and social barriers.
This illuminates that star absence alters more than just resource allocation. As highly
able and productive employees, stars are influential in shaping work norms (Hamilton
et al., 2003) and can exert social pressure on their colleagues (Mas and Moretti, 2009).
For instance, MPLS’ Luca Cafiero was feared for “grilling” his employees in meetings that
could last all day (Bort, 2016). Moreover, stars influence how things are done as they
encourage their colleagues to adopt specific methods (Lacetera et al., 2004) or technologies
(Burke et al., 2007). Lastly, stars often head hierarchies and possess influential positions
within companies (Zucker et al., 2002). Consequently, star absence may change work
norms, alter procedures and shake up rigid hierarchies. Beyond the allocation of tangible
resources, the absence of a star thus also affects intangible factors. Naturally, absent
stars also leave a void in terms of tasks and responsibilities. Equipped with additional
resources and the freedom to do things their way, non-stars can fill this void. As such, star
absence provides new performance opportunities for non-star employees. Capitalizing on
the expanded opportunities, non-stars can increase their productivity while the star is
absent (the immediate effect of star absence).
But can temporary star absence also have a lasting effect, changing the productivity
of non-star employees even after the star has come back? Skeptics may speculate that
performance opportunities will be completely reallocated to stars once they come back,
48 Chapter 2
which would help them to regain their dominant positions. However, this static perspec-
tive may underestimate corporate dynamics where interruptive events have been shown
to trigger a search for new routines and knowledge (Chen and Garg, 2018; Okhuysen and
Eisenhardt, 2002; Zellmer-Bruhn, 2003).
Specifically, the increased performance opportunities for non-stars can trigger a two-
sided learning process. On the one side of this process are the non-star employees. While
non-stars can learn from stars by observing them in everyday work (Hamilton et al.,
2003), the absence of a star provides a particularly valuable learning opportunity. Taking
advantage of their increased opportunities to perform, non-stars engage in learning by
doing and develop or improve important management, leadership and decision-making
skills. Due to their increased role, non-stars also face higher performance expectations and
learn to cope with them. On the other side of the learning process are managers, who gain
valuable information about their non-star employees. Observing how non-stars utilize the
performance opportunities while the star is absent helps them to evaluate the potential of
their employees. Furthermore, monitoring how non-stars tackle unfamiliar tasks, harness
newly available resources and cope with additional pressure provides managers with novel
information about the strengths and weaknesses of each employee. This enables them to
better leverage the employees’ skill sets and it also builds trust. In short, non-stars improve
and earn the trust of managers during star absence. As a result, some performance
opportunities remain with non-star employees even after the star has come back. This
enables them to sustain an increased level of production (the long-term effect of star
absence).
While increased opportunities to perform can be beneficial for non-stars in general,
they may be particularly favorable for employees at early career stages. Typically, em-
ployees are granted less responsibility and have only limited resources at the beginning
of their careers. Normally they would gradually receive more performance opportunities,
but star absence can accelerate this process, along with their learning and professional
development. Junior employees particularly benefit from additional opportunities because
they possess only limited professional experience and have more room for improvement
(Becker, 1962). At the same time, managers typically know little about junior employees
(Ferguson and Hasan, 2013). While managers can gain an accurate impression of senior
employees over time, they are likely less certain about their junior staff’s abilities, traits
and skill sets. Managers may be reluctant to rely on junior employees because they have
only noisy signals about their capabilities. This is particularly distinct in settings where
talent is not directly apparent or ambiguous (Tervio, 2009). As outlined, star absence can
accelerate the process of resolving managerial uncertainty, which is particularly important
for junior employees. Thus, employees in early career stages are likely to benefit more
from the performance opportunities that star absence brings. This is why they have a
higher chance of sustaining a lasting productivity increase after the temporary absence of
a star.
Out of the Shade, into the Light 49
In sum, the theoretical considerations have four testable implications that guide the
empirical analyses: (1) Star absence increases non-star productivity while the star is
absent (the immediate effect of star absence), (2) non-stars can sustain an increased level
of output even after the star has come back (the long-term effect of star absence), (3)
these effects are driven by increased opportunities to perform and (4) these effects are
particularly strong for junior employees.
4 Data and Methods
4.1 Research Setting
The empirical setting for this study is the National Basketball Association, the world’s
leading league in mens’ professional basketball. Providing a wealth of detailed data,
professional sports has frequently been used to study organizational phenomena (e.g.,
Bloom, 1999; Kim and King, 2014; Stuart, 2017). The NBA is no exception and has
lately served as a research site to analyze the role of complementarities (Ethiraj and
Garg, 2012), competitive dynamics (Berger and Pope, 2011) and racial biases (Zhang,
2017). For this inquiry, the NBA offers exceptional data in four respects.
First, NBA seasons are relatively long compared to other leagues and sports. The
regular season comprises 82 games per team and is followed by the playoffs, in which
teams can play up to 28 additional games.1 The long observation period allows me to
distinguish stars and non-stars reliably. Equally important, it enables me to observe
non-stars prior to, during and after star absence, which is neccessary to pin down the
immediate and long-term effects of star absence.
Second, the NBA records information on how many points a player scored in a game,
along with data on how many shots he took. Accordingly, I observe not only the mere
offensive output (points) but also how it was achieved (field goal attempts). Field goal
attempts provide a rare measure of individual performance opportunities because they
are (a) a neccessity to acquire a valued resource, i.e. points, and (b) largely result from
a planned process, in which the coaching staff designs plays for specific players. This
is a valuable feature because data on unsuccessful attempts is often unavailable leading
to success bias in organizational research (Denrell and Kovacs, 2008). Even in settings
where detailed microdata on individual output is available, we usually cannot observe the
process that has generated the output. Having this information enables me to test the
extent to which the absence of a star provides new performance opportunities for non-star
employees.
Third, the NBA’s arduous schedule and the athletically demanding nature of basketball
1 In the sample period, the seasons 1998-99 and 2011-12 were shortened due to lockouts to 50 and 66games per team, respectively. The playoffs are a best-of-seven elimination tournament over four roundsto determine the NBA champion.
50 Chapter 2
pose a constant risk of injury to the players. While tragic for those affected, this is an
attractive empirical feature from a researcher’s perspective because it introduces exoge-
nous variation in star absence. This can be exploited to estimate the causal effect of star
absence on the productvity of non-star colleagues.
Finally, NBA players constantly interact and coordinate their positions as well as move-
ments to attack the opponent’s basket and defend their own. For example, one of the
most common offensive actions is to “set a screen,” where one player blocks an opposing
defender by standing in his way to free a team-mate for a pass or shot. Consequently,
basketball players are reliant on their team-mates and basketball teams are characterized
by high interdependence. Basketball thus resembles a lot of modern work environments
where tasks have become increasingly complex and are carried out collaboratively (Wuchty
et al., 2007).
4.2 Sample and Data
The dataset underlying the empirical analysis contains longitudinal information about
NBA games from the 1998-99 season to the 2013-14 season. This corresponds to 16
seasons, 20,026 games, 40,052 team-game observations (two teams per game), and 624,411
player-game observations (between fifteen and sixteen players per team). I retrieved this
data from the NBA’s offical website, www.nba.com. Since the official statistics mainly
provide information at the game-level, I complemented them with additional data on the
NBA draft, player characteristics, individual awards and salaries from www.basketball-
reference.com. Both data sources provide reliable statistics and have been used in prior
research (e.g., Arcidiacono et al., 2017; Ertug and Castellucci, 2013; Zhang, 2017). The
official NBA data, for example, is recorded courtside and subsequently reviewed by league
officials to ensure their accuracy (Biderman, 2009).
It is essential for my empirical strategy to identify injuries reliably and precisely distin-
guish absences due to injury from other absences. Information about injuries was retrieved
from official NBA box scores that summarize player statistics for each game. They also
contain information about players who did not play and state the reason, e.g. an injury. In
cases where the box score did not explicitly clarify the reason for the absence of a player,
I examined game reports from ESPN, browsed daily NBA news from Patricia Bender’s
NBA archive, and searched the Pro Sports Transactions database.2 Again, these sources
have been utilized in prior research (e.g., Chen and Garg, 2018; Ertug and Castellucci,
2013).
As my interest lies in the impact of star absence on non-star productivity, I focus on a
sample of non-star players. I define the top scorer of each team as a star and the other
team members as non-stars. To construct an appropriate sample, I first preclude games
2 The respective websites are: http://espn.go.com/nba/scoreboard, https://www.eskimo.com/pbender,and http://www.prosportstransactions.com.
Out of the Shade, into the Light 51
for which nba.com did not list all players that competed in a game. This concerns only
2,236 player-game observations (0.36%) in 201 team-game observations (0.5%). Second,
I exclude star players. Third, I eliminate observations from the first game of each team-
season, because I identify top scorers based on prior data from the team-season, which is
unavailable for the first game. Finally, I exclude non-star players who have played less
than five percent of all possible minutes in a team-season. Some marginal NBA players
constantly fluctuate between NBA teams and their respective development teams or are
signed to short-term 10-day contracts. Imposing a playing time threshold ensures that
only regular team-members are included in the analysis. After these steps, the final sample
consists of 355,317 player-game observations, which is my unit of analysis.3
4.3 Econometric Strategy
The goal of this study is to analyze the immediate effect of star absence on the produc-
tivity of non-star employees and to determine whether this effect is temporary or lasting.
One straightforward approach would be to simply compare games where non-stars play
alongside the star to games where they play without the star. However, the decision to
rest a star player is clearly not random. Coaches are more likely to sit their stars out
in games that are less important or where other team members can compensate for the
missing star, for example against weaker opponents. As the choice to sit stars out is
related to the expected performance of their colleagues, star absence is potentially en-
dogenous, which would bias estimates. To overcome endogeneity in star absence and
receive unbiased estimates, I focus on injuries of NBA star players.
Exploiting injuries as an exogenous shock to team membership is a novel empirical
strategy in organizational research (see Chen and Garg, 2018; Stuart, 2017; Thomas and
Dahlander, 2017). Injuries are unexpected and largely independent of managerial decisions
and individual or team performance (Stuart, 2017). Although injuries in the NBA are
probably not completely random, they have a substantial random component as many
factors influencing their likelihood are comparable across NBA teams. For example, the
quality of the medical staff, training effort or competition intensity should be similar and
should not cause a systematic bias in who gets injured.
As my interest also lies in the question of whether temporary star absence has a long-
term effect, I examine both the absence and post absence phase. While the injury is
forced upon the team and therefore exogenous, the comeback is at least in part subject to
managerial decision making. A potential risk is that teams that do well without their star
delay the comeback and prolong the absence phase. If that was the case, it would bias
coefficients for the absence phase upwards. However, given the importance of stars for
team performance in the NBA (Chen and Garg, 2018; Thomas and Dahlander, 2017) and
3 The full dataset contains all players on the team’s roster, corresponding to 624,411 player-gameobservations. In contrast, my analysis relies on performance data that is only available if players playedin a game.
52 Chapter 2
the pressure from media and fans, it seems unlikely that teams would routinely prolong
their star’s absence. Still, one has to acknowledge that the start and duration of the post
absence phase is less obviously exogenous than the absence itself.
I use three phases to pin down the immediate and long-term effects of star absence:
the pre-absence, absence and post absence phase. I employ two indicators, Star absence
and Post absence, to delineate the absence and post absence phases and compare the
productivity of non-star players in games of these phases to games of the pre-absence
phase. To analyze the changes in productivity of non-star players, I estimate a fixed
effects panel data model by ordinary least squares (OLS).
The baseline estimating equation relates the offensive output of non-star player i in
game t to the absence and return of the star, and characteristics of the focal player i,
game t, opponent j and season T :
PointsijtT = β0 + β1Star absenceit + β2Post absenceit + β3X′jt + γi + δT ,
where Star absence and Post absence are the independent variables indicating the absence
and post absence phase, respectively. β1 captures the immediate effect of star absence
and β2 indicates whether it is temporary or lasting. The pre-absence phase is the omit-
ted category and serves as a baseline. As such, the coefficients of β1 and β2 should be
interpreted as changes in productivity relative to the pre-absence phase.
X ′jt represents the matrix of control variables. γi are player fixed effects consistent
with the objective to estimate changes in i’s offensive output in the aftermath of star
absence. δT stands for a set of season indicator variables capturing effects specific to
individual seasons. Combined with the dummy variables for season progress, Mid season,
Late season and Playoff, these variables pin down effects specific to different times in
a player’s career. Structurally, the model resembles a difference-in-differences approach
with the player fixed effects capturing time-invariant individual effects and the temporal
variables accounting for the general time trend.
As observations for each player are clearly interdependent, I cluster standard errors
at the player level. Allowing for correlation among the idiosyncratic individual errors
and heteroskedasticity, clustered standard errors provide a more conservative base for
inference.
4.4 Variables
Dependent Variable
Points. I measure a player’s offensive output by Points, the number of points a player
scored in a game. Points are crucial for the success of basketball teams because games are
decided by points. Points are also important for the individual player as they are related
to players’ salaries and popularity (Wang, 2009). As such, they are the most dominant
Out of the Shade, into the Light 53
individual-level statistic in the coverage of NBA games.
Independent Variables
Star absence. I focus on star injuries as an exogenous source of star absence. Consistent
with my approach to measure individual output, I use points to identify star players. Prior
to each game, I determine the leading scorer of a team based on the average points in
all prior games of the focal season. The team’s top scorer is defined as a star player and
a star injury occurs when the top scorer missed a game due to medical reasons. Thus,
Star absenceit is an indicator variable that switches to one when the star colleague of
focal non-star player i misses game t due to an injury. By defining stardom based on
a comparison among teammates, I identify local stars. Being a star by this definition is
related to other constructs such as being a key player (Thomas and Dahlander, 2017).
Post absence. Stars recover from their injuries and eventually come back. To investigate
whether star absence has a lasting effect, Post absence indicates games after the star has
come back from injury. Since the long-term effects of star absence likely depend on absence
duration, I differentiate post absence phases by the length of the preceding star absences
in some analyses. There, I replace the general indicator Post absence with three mutually
exclusive dummy variables: Post absence (short absence), Post absence (medium absence)
and Post absence (long absence) that indicate post absence phases after preceding star
absences of less than 5 games, between 5 and 14 games, and at least 15 games, respectively.
If the star is injured multiple times within one season, the games of different absences are
accumulated. Figure 1 illustrates the coding of the different phases. As an alternative
measure for absence length, I use Absence experience that counts all games of the focal
season prior to game t, in which the star was injured and the focal player i played. Again,
games of multiple absences are added.
Field goal attempts. To investigate the role of performance opportunities, Field goal
attempts measures the number of field goals a player attempted in a game. It includes
both two and three point attempts. Field goal attempts are a good measure of opportunity
because they allow players to score points, a valuable resource for NBA players. Moreover,
field goal attempts mostly emerge from purposeful planning by the coaching staff implying
that players are granted opportunities based on their internal standing.
Moderator Variables
Rookie. To test the effect of star absence on junior players, I identify players in early
career stages by rookie status. Rookies are players that have never played a game in the
NBA until the focal season. Rookie status is defined for the whole season implying that
54 Chapter 2
Figure 1: Schematic Representation of Pre-Absence, Absence and Post AbsencePhases
(4 games) (7 games)
Pre absence
Star absence
Post absence
Star absence
Post absence
(short) (medium)
Phase
Topscorerinjury
Yes
No
Game
players do not lose it after their first game, but after their first season in the NBA. Rookie
is thus an indicator variable for players in their first NBA year.
Non-established player. Extending the definition of early career stages, I employ the
indicator variable Non-established player for all players that are in their first three years in
the NBA. After three years, NBA teams are eligible to offer contract extensions to young
players, who are on four-year rookie deals. Hence, three years seem to be an appropriate
time frame for NBA players to establish themselves in the league.
Control Variables
I control for other factors that may influence the individual productivity of non-star
players. Since the independent variables Star absence and Post absence are exogenous,
including control variables should not change the estimate of the independent variables,
which I will also demonstrate. Therefore, the role of control variables is somewhat limited
in my empirical strategy. Nonetheless, I include control variables to increase the precision
of the estimates and the explanatory power of the models. The control variables can be
partitioned into three groups. First, there are controls pertaining to the characteristics of
the game. Home is an indicator variable for playing at home. Back to back indicates so
called back to back games, where the team has also played the night before. Attendance
is a count variable for the number of spectators and Overtime is a dummy variable that
Out of the Shade, into the Light 55
switches to one if the game was tied at the end of regular playing time and went to
overtime. Second, two variables control for the quality of the opponent. Opponent points
allowed records the average number of points the opposing team has conceded in all
prior games of the focal season and captures defensive quality. Similarly, Opponent win
percentage measures the proportion of prior games in the focal season the opponent has
won, reflecting overall quality. Third, I capture time effects with a set of dummy variables.
Mid season and Late season indicate games in the second and final third of the regular
season, respectively. Playoff is an indicator for playoff games. Finally, season fixed effects
are employed to control for factors specific to one season.
4.5 Descriptive Statistics
Table 1 presents descriptive statistics of the variables and correlations among them. The
non-star players in my sample score on average 8.51 points (stars: 21.4 points). Ten
percent of the games are in the absence phase and 40 percent fall in the post absence phase,
which implies that half of the games belong to the pre-absence phase. Differentiating the
post absence phases, 26, 11 and three percent of all games are in the post absence phase
after short, medium and long star absences, respectively. Most of the post absence games
are thus after short or medium absences (the median length of absences is 2 games, mean:
4.03; not in the table). The short absences are also reflected in the average absence
experience of 1.97 games. In general, correlations among variables used in one model are
low (highest correlation being -0.45). In particular, the two independent variables Star
absence and Post absence are not strongly correlated with the control variables signaling
exogeneity and mitigating concerns about imprecise estimates due to multicollinearity
(highest correlation being 0.22).
Table 2 provides further insight into the effectiveness of my quasi-experimental ap-
proach. It compares means for various characteristics of non-star players to assess whether
non-star players affected by star absence (treatment group) differ systematically from play-
ers who do not experience star absence (control group). In general, the differences across
the two groups are small and most of them do not differ significantly from zero. There are
two exceptions: treated non-stars are less experienced and more likely to be undrafted
than control non-star players. Given that experience enhances productivity and being
undrafted signals lower talent, this suggests that the control group might be of slightly
higher quality, which would compress the estimated effect of star absence. Overall, Table
2 shows that there is good balance between the two groups indicating that treated and
control non-stars are comparable.
56 Chapter 2
Ta
ble
1:
Descrip
tiveS
tatistics
an
dC
orrela
tion
s
Mea
nS
.D.
Min
Ma
x1
23
45
67
1P
oints
8.517.07
057
12
Star
absen
ce0.10
0.300
10.05
13
Post
absen
ce0.40
0.490
1-0.01
-0.271
4P
ostab
sence
(short
absen
ce)0.26
0.440
1-0.02
-0.200.73
15
Post
absen
ce(m
ediu
mab
sence)
0.110.31
01
0.00-0.12
0.43-0.21
16
Post
absen
ce(lon
gab
sence)
0.030.16
01
0.00-0.06
0.21-0.10
-0.061
7A
bsen
ceexp
erience
1.974.55
055
0.00-0.14
0.54-0.02
0.480.75
18
Field
goalattem
pts
7.145.07
036
0.870.07
-0.02-0.02
-0.000.00
-0.009
Ro
okie0.12
0.330
1-0.12
0.04-0.01
-0.020.00
0.030.02
10N
on-estab
lished
player
0.440.50
01
-0.090.03
0.010.00
0.010.02
0.0311
Hom
e0.50
0.500
10.02
-0.000.00
0.000.00
-0.000.00
12B
ackto
back
0.240.42
01
-0.000.03
-0.04-0.02
-0.02-0.01
-0.0213
Atten
dan
ce17,358.21
2,920.490
39,554-0.01
-0.010.06
0.040.04
-0.000.03
14O
vertime
0.060.24
01
0.04-0.00
-0.01-0.00
-0.010.00
-0.0015
Op
pon
ent
poin
tsallow
ed96.62
5.3466
1280.05
0.040.02
-0.020.04
0.020.04
16O
pp
onet
win
percen
tage0.51
0.180
1-0.02
-0.010.03
0.020.02
0.010.02
17M
idseason
0.310.46
01
0.010.01
0.040.06
-0.01-0.02
-0.0218
Late
season0.31
0.460
10.02
0.090.22
0.110.15
0.110.20
19P
layoff0.06
0.250
1-0.02
-0.050.15
0.070.11
0.050.12
Out of the Shade, into the Light 57
(Tab
le1
Con
tinu
ed)
89
10
11
12
13
14
15
16
17
18
19
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51
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8-0
.18
1
58 Chapter 2
Table 2: Randomization Check – Comparison of Treatment and Control Group
Control group Treatment group(1,566 Player-seasons) (5,230 Player-seasons)
Mean SD Mean SD Diff. t-Stat.Age 27.45 4.55 27.22 4.32 0.23 1.86Experience 5.02 4.13 4.73 4.03 0.29 2.48*Rookie 0.13 0.34 0.15 0.35 -0.01 -1.26Height 200.88 9.44 200.74 9.29 0.14 0.51Weight 220.28 28.38 220.31 28.02 -0.04 -0.04Guard 0.38 0.49 0.40 0.49 -0.01 -1.02Forward 0.40 0.49 0.40 0.49 0.00 0.26Center 0.22 0.41 0.22 0.41 0.00 0.41Draft pick 21.25 16.76 21.69 16.22 -0.44 -0.87Undrafted 0.13 0.33 0.17 0.37 -0.04 -3.58**Salary 3,864,330 4,051,472 3,866,587 4,094,155 -2,257 -0.02
Notes. All reported statistics do not vary within the player-season (age is fixed at the beginning of theseason). The last column reports the t-statistic of the difference. Significance levels: * p<0.05; **p<0.01; *** p<0.001.
5 Results
5.1 Immediate and Long-Term Effects of Star Absence
Before estimating the baseline specification as presented in the estimating equation, I
test the exogeneity of star injuries in a regression set-up. Therefore, I first estimate a
parsimonious specification that only contains player and season fixed effects plus temporal
control variables, but leaves out all other controls. Then, I include the control variables in
the estimation. The results in Table 3 show that non-star players score more points when
the star is absent (Model 1). Including control variables does not change the coefficient
of Star absence (Model 2), which supports the idea that star absence due to injuries is
exogenous to the other variables in the model.
To investigate the immediate and long-term effects of star absence, I include the indica-
tor variable for the post-absence phase and estimate the baseline specification (Model 3).
When the star is absent, non-star players increase their scoring by 1.59 points. This cor-
responds to a considerable 19% growth in offensive output as non-stars score on average
8.38 points in the pre-absence phase. At the same time, the offensive output of non-stars
in the post absence phase is statistically indistinguishable from the pre-absence phase.
The results thus suggest that star absence has only a temporary effect, where non-stars
cannot sustain an increased productivity level after the star has come back. However,
injury absences in the NBA are short: the median length of absences is two games (mean:
4.03) and 90 percent of all absences last nine games or less. Considering this, it is less
surprising that star absence does not have a lasting effect on average.
I therefore differentiate post absence phases by the length of the preceding star absences
(Model 4). This reveals that long absences do have a lasting effect on non-star productiv-
Out of the Shade, into the Light 59
Table 3: Effects of Star Absence – Results from Fixed Effects Estimations (DV:Points)
Model 1 Model 2 Model 3 Model 4 Model 5Star absence 1.57*** 1.57*** 1.59*** 1.61*** 1.62***
(0.08) (0.08) (0.10) (0.10) (0.10)Post absence 0.05 -0.07
(0.08) (0.09)Post absence (short absence) -0.02
(0.08)Post absence (medium absence) 0.12
(0.12)Post absence (long absence) 0.61***
(0.17)Post absence × Absence experience 0.03***
(0.01)Home 0.29*** 0.29*** 0.29*** 0.29***
(0.02) (0.02) (0.02) (0.02)Back to back 0.04 0.04 0.04 0.04
(0.02) (0.02) (0.02) (0.02)Attendance -0.00*** -0.00*** -0.00*** -0.00***
(0.00) (0.00) (0.00) (0.00)Overtime 0.89*** 0.89*** 0.89*** 0.89***
(0.06) (0.06) (0.06) (0.06)Opponent points allowed 0.07*** 0.07*** 0.07*** 0.07***
(0.01) (0.01) (0.01) (0.01)Opponent win percentage -0.61*** -0.61*** -0.61*** -0.61***
(0.07) (0.07) (0.07) (0.07)Mid season 0.18*** 0.16*** 0.15*** 0.14** 0.14**
(0.04) (0.04) (0.04) (0.04) (0.04)Late season 0.37*** 0.36*** 0.34*** 0.31*** 0.31***
(0.05) (0.05) (0.06) (0.06) (0.06)Playoff -0.90*** -0.62*** -0.64*** -0.68*** -0.68***
(0.09) (0.09) (0.09) (0.10) (0.10)Constant 10.10*** 4.65*** 4.64*** 4.68*** 4.66***
(0.28) (0.99) (0.99) (0.98) (0.98)Season fixed effects Yes Yes Yes Yes YesPlayer fixed effects Yes Yes Yes Yes Yes
R2 0.019 0.024 0.024 0.025 0.025Player-game obs. 356,263 355,317 355,317 355,317 355,317
Notes. Coefficients from OLS estimations. Robust standard errors clustered at the player level are in paren-theses. Significance levels: * p<0.05; ** p<0.01; *** p<0.001.
60 Chapter 2
ity. After long star absences (of at least 15 games), non-stars can sustain an enhanced level
of productivity even after the star has come back. Compared to the pre-absence phase,
they increase their offensive output in the post absence phase by 0.61 points or 7.3%.
After short and medium absences, non-star players cannot sustain their increased level of
output.4 An alternative way to analyze how absence length affects non-star productivity
in the long term is to interact the post absence indicator with Absence experience, a count
variable that records all games of the focal season where the star was injured and the focal
player played (Model 5). Results indicate that non-star output in the post absence phase
increases the longer the preceding star absence is, thus corroborating the importance of
absence length. Whereas star absences do not have a lasting effect on average, non-stars
can sustain an increased level of production after long absences. Given that learning does
not happen instantaneously, this finding supports the idea of a two-sided learning process
that takes some time to unfold.
5.2 Star Absence and Performance Opportunities
A natural explanation for the immediate and long-term effects of star absence is that
non-star players get more opportunities to perform when star players are absent and that
they can retain some of these opportunities after long absences. To test this mechanism
and examine whether an increase in opportunities indeed drives the results, I conduct a
three-step mediation analysis as outlined by Baron and Kenny (1986). At this, I leverage
the richness of the NBA data and measure opportunity by field goal attempts. The results
are presented in Table 4.
The first step of a mediation analysis is to establish that there is a relationship that can
be mediated. The baseline estimation has shown that there is a positive relationship be-
tween the absence of star players and the productivity of their non-star colleagues, which
I replicate here (Model 6). In the second step, the independent variable, star absence,
is related to the proposed mediating factor, the opportunity to perform (Model 7). The
results show that star absence indeed leads to more opportunities for non-star players. In
the third step, the potential mediator is added to the baseline estimation to test whether
opportunity mediates the relationship between star absence and non-star productivity
(Model 8). The results are striking: After controlling for opportunity, the effect of star
absence turns negative indicating competitive mediation (Zhao et al., 2010) or full me-
diation (Baron and Kenny, 1986). This suggests that the positive relationship between
star absence and non-star productivity stems completely from increased opportunities.
Applied to the empirical context this implies that non-star players only score more points
in the absence of the star because they are able to attempt more field goals. Holding the
4 Assessing the robustness of this finding, I estimate additional specifications in which I distinguishbetween short and long absences with different thresholds of 5, 10 and 15 games. The results consistentlyshow that long absences lead to a lasting increase in non-star productivity. Detailed results are availableupon request.
Out of the Shade, into the Light 61
Table 4: Mediation Analysis – Results from Fixed Effects Estimations (Various DVs)
Model 6 Model 7 Model 8 Model 9 Model 10 Model 11(Points) (FGA) (Points) (Points) (FGA) (Points)
Star absence 1.59*** 1.44*** -0.13*** 1.61*** 1.45*** -0.13***(0.10) (0.08) (0.03) (0.10) (0.08) (0.03)
Post absence 0.05 0.04 0.00(0.08) (0.06) (0.02)
Post absence (short) -0.02 -0.02 -0.00(0.08) (0.06) (0.02)
Post absence (medium) 0.12 0.09 0.02(0.12) (0.09) (0.03)
Post absence (long) 0.61*** 0.54*** -0.04(0.17) (0.13) (0.05)
Field goal attempts 1.20*** 1.20***(0.00) (0.00)
Control variables Yes Yes Yes Yes Yes YesConstant Yes Yes Yes Yes Yes YesSeason fixed effects Yes Yes Yes Yes Yes YesPlayer fixed effects Yes Yes Yes Yes Yes Yes
R2 0.024 0.033 0.666 0.025 0.034 0.666Player-game obs. 355,317 355,317 355,317 355,317 355,317 355,317
Notes. Coefficients from OLS estimations. Dependent variables are Points and Field goal attempts (FGA).Robust standard errors clustered at the player level are in parentheses. Significance levels: * p<0.05; **p<0.01; *** p<0.001.
number of field goal attempts constant, non-star players even score less points indicat-
ing that they are less efficient without the star. This is in line with previous findings of
offensive spillovers in basketball (see Kendall, 2003).
To investigate whether the opportunity mechanism can also explain the lasting effect of
long star absences, I run another mediation analysis that distinguishes the post absence
phases by the length of the preceding injury. The first step establishes that non-stars
can sustain an increased level of output after long star absences, thereby replicating
earlier results (Model 9). The second step demonstrates that non-star players retain
some opportunities to perform after long star absences (Model 10). Finally, the third
step reveals that the lasting productivity increase after long absences also results from
increased opportunities, as indicated by the negative and insignificant coefficient on Post
absence (long absence) when controlling for Field goal attempts (Model 11).
Taken together, the mediation analyses thus support the idea that the positive effect
of star absence on non-star productivity can be explained by the non-stars’ increased
opportunities to perform. In the absence of the star, the remaining colleagues receive more
opportunities and therefore increase their productivity. Similarly, long star absences lead
to lasting performance increases because some opportunities remain with the non-stars
and are not completely reallocated to the star.
62 Chapter 2
Table 5: Career Stage Analysis – Results from Fixed Effects Estimations (DV:Points)
Model 12 Model 13 Model 14Star absence 1.59*** 1.56*** 1.42***
(0.10) (0.10) (0.13)Post absence 0.05 -0.04 -0.13
(0.08) (0.08) (0.09)Rookie -3.79***
(0.19)Star absence × Rookie 0.71**
(0.24)Post absence × Rookie 0.78***
(0.20)Non-established player -2.76***
(0.21)Star absence × Non-established player 0.49**
(0.18)Post absence × Non-established player 0.51***
(0.13)Control variables Yes Yes YesConstant Yes Yes YesSeason fixed effects Yes Yes YesPlayer fixed effects Yes Yes Yes
R2 0.024 0.046 0.037Player-game obs. 355,317 355,144 355,317
Notes. Coefficients from OLS estimations. Robust standard errors clustered at the player level are in paren-theses. Significance levels: * p<0.05; ** p<0.01; *** p<0.001.
5.3 Star Absence and Junior Employees
The analyses thus far have demonstrated that star absence opens up new possibilities for
non-stars because they receive more performance opportunities. It seems plausible that
some non-stars need these additional opportunities more than others. Junior employees
are natural candidates because they typically receive less performance opportunities than
their senior colleagues, who are already established. To test how non-stars at early career
stages are affected, I employ two early career stage indicators, Rookie and Non-established
player, and interact them with the indicator variables for the absence and post absence
phase. The results are presented in Table 5, which also reprints the baseline estimation
for comparison (Model 12). First, I concentrate on rookies, i.e. players in their first
NBA year (Model 13). The results show that rookies are clearly less productive than
senior players. On average, they score 3.79 points less in the pre-absence phase. More
importantly, the results highlight that rookies do indeed particularly benefit from star
absence. Compared to senior players, they increase their offensive output by additional
0.71 points while the star is absent. After the star has come back, rookies can sustain an
increased level of productivity of 0.78 points (compared to non-rookie players). Second,
I extend the definition of early career stages by focusing on players in their first three
Out of the Shade, into the Light 63
Table 6: Draft Position Analysis – Results from Fixed Effects Estimations (DV:Points)
Model 15 Model 16 Model 17 Model 18 Model 19(Undrafted) (Second round) (First round) (Lottery) (Top 5)
Star absence 1.94*** 1.57*** 2.17*** 1.83*** 0.72(0.40) (0.25) (0.32) (0.49) (0.48)
Post absence 0.35 -0.09 0.77** 0.54 0.12(0.38) (0.23) (0.27) (0.43) (0.37)
Control variables Yes Yes Yes Yes YesConstant Yes Yes Yes Yes YesSeason fixed effects No No No No NoPlayer fixed effects Yes Yes Yes Yes Yes
R2 0.025 0.032 0.028 0.039 0.027Player-game obs. 7,322 11,229 12,034 7,731 4,753
Notes. Coefficients from OLS estimations. Sample is restricted to rookies and split into five groups by theirdraft position: undrafted, second round (positions 60-31), first round (positions 30-15), lottery (positions 14-6)and top 5 (positions 5-1). Robust standard errors clustered at the player level are in parentheses. Significancelevels: * p<0.05; ** p<0.01; *** p<0.001.
NBA years, whom I consider as non-established (Model 14). The results support the
findings of Model 13, although with smaller effect sizes. While non-established players
score 2.76 points less than established players in the pre-absence phase, they increase
their offensive output in the absence of the star by an additional 0.49 points. Compared
to their established counterparts, they also have a significantly higher offensive output
after the star has come back (by 0.51 points). Overall, the results in Table 5 suggest that
non-stars in early career stages particularly benefit from star absence.
Refining the findings further, I analyze what types of rookies benefit the most from
star absence. To this end, I classify rookies by their draft position. The NBA draft is an
annual event through which new players enter the league. In the draft, teams take turns
selecting a prospect from a pool of eligible players, with the best team of the previous
season picking last. The NBA draft involves sixty players, selected over two rounds.
Naturally, the most promising prospects are selected early in the draft. Consequently, the
draft position can be used to distinguish rookies by their talent.
To analyze the impact of star absence on different groups of junior players, I restrict my
sample to rookies and assign them to five mutually exclusive groups: undrafted, second
round (draft positions 60-31), first round (30-15), lottery (14-6), and top 5 (5-1).5 I
split the sample by these categories and separately estimate the effect of star absence
on non-star productivity. The results are given in Table 6 and offer interesting insights.
First, rookies drafted in the top 5 do not benefit significantly from star absence, neither
5 Players can also enter the NBA without being drafted, but they had to be eligible for at least onedraft before. The distinction of draft picks into second round, first round, lottery and top 5 reflects thedisproportionate value of top talent and is frequently made within the NBA. The first 14 picks are calledlottery picks since the 14 worst teams of the previous season take part in a lottery for the first threepicks.
64 Chapter 2
immediately nor in the long term (Model 19). Instead, rookies drafted in the late first
round are the main beneficiaries of star absence (Model 17). They increase their scoring
substantially while the star is absent (by 2.17 points) and are the only group that can
sustain a significant increase in offensive output after the star has come back (of 0.77
points). Similarly, undrafted rookies and rookies drafted in the lottery show an immediate
and long-term increase in productivity (Models 15 and 18). However, their productivity
after the star has come back is statistically not distinguishable from their productivity in
the pre-absence phase. It is thus not the most talented rookies, but rookies in the middle
of the talent distribution that benefit the most from star absence.
6 Discussion
Examining how the temporary absence of star employees affects the productivity of those
surrounding them, I find that non-stars’ output increases while the star is absent. This
effect is not only temporary: long star absences have a lasting effect on non-star produc-
tivity and the star’s colleagues can sustain an increased level of production even after the
star has come back. Mediation analyses reveal that non-stars receive more performance
opportunities in the absence of the star, which explains both the immediate effect of star
absence and the lasting effect after long absences. Finally, my results suggest that em-
ployees in early career stages benefit particularly from star absence. Refining this further,
I interestingly find that it is not the most talented junior employees that profit the most
from star absence, but juniors in the middle of the talent distribution.
These findings make several contributions to the literature. First, they highlight that
the absence of stars has very different consequences for the star’s organization and his
or her colleagues. Recent research on star absence has demonstrated that organizations
and collaborative teams are generally worse off without their star (e.g., Azoulay et al.,
2010; Oettl, 2012; Stuart, 2017). In particular, Thomas and Dahlander (2017) show that
the performance of NBA teams is significantly reduced when they lose a key player. At
the same time, my results show that non-star players get more opportunities to perform
and increase their offensive output when the team’s star is absent. While star absence
is detrimental to the organization as a whole, this paper thus highlights that it can be
beneficial for non-star colleagues surrounding the star.
The results from this paper also speak to recent findings by Chen and Garg (2018), who
show that the temporary absence of NBA stars has a negative effect on team performance
in the short run, but can improve it in the long run. They argue that the temporary
absence of a star triggers a search for new routines, which improve team performance in
the long term. However, it is also possible that non-stars receive more opportunities and
improve their skills during star absence, as the authors themselves acknowledge (Chen
and Garg, 2018, 1257). Indeed, my findings indicate that non-stars receive more perfor-
mance opportunities in the absence of the star and that this leads to a lasting increase
Out of the Shade, into the Light 65
in productivity. As such, the results here extend the work of Chen and Garg (2018) by
highlighting that routines alone may not tell the full story. Instead, a combination of im-
proved routines and improved performance of non-stars seems to be behind the improved
long-term team performance. That said, my results do not contradict the findings of Chen
and Garg (2018). In fact, the finding that some opportunities remain with non-stars after
long star absences can be interpreted as the change in routines they suggest.
More generally, this paper highlights the importance of opportunities for individual
performance. Naturally, even able and motivated employees need to get opportunities to
perform well (Call et al., 2015; Ericsson et al., 1993). Yet, it remains hard to study the
role of opportunity for professional development empirically because information about
individual performance opportunities is usually unavailable. Exploiting a rare measure
of opportunity in the NBA data, I identify the allocation of performance opportunities
as a key mechanism through which star employees affect non-stars. In the absence of
dominating stars, non-star employees increase their productivity because they receive
more opportunities to perform. Prior research has suggested that stars constrain the
development of their colleagues because they dominate resources (Kehoe and Tzabbar,
2015; Tzabbar, 2009). I extend these findings by providing direct evidence that the
absence of stars provides new opportunities for non-star employees, which can trigger a
two-sided learning process and turn into sustainable increased output. This indicates that
influential stars may indeed constrain the professional development of employees around
them.
The degree to which non-stars benefit from star absence, however, varies. Prior re-
search has found that stars can affect their colleagues both positively and negatively
(Call et al., 2015). One possible explanation for the diverging findings are characteristics
of the star. Indeed, earlier work has highlighted the importance of specific star types for
their colleagues, such as relational stars (Grigoriou and Rothaermel, 2014) or helpful stars
(Oettl, 2012). My results offer another perspective to reconcile the diverging findings on
stars’ peer effects: the characteristics of non-stars. While non-stars are often treated as
homogenous, I find that employees in early career stages particularly benefit from star ab-
sence. This suggests that non-star characteristics play an important role for the interplay
between stars and their colleagues. Neglecting them might cause us to miss important
nuances of these interactions.
The individual development of junior employees can be boosted by star absence, pre-
sumably because they particularly benefit from the increased opportunities. For non-stars
in early career stages, the presence of stars might thus be a double-edged sword: While
stars give them the chance to learn effective techniques (Burke et al., 2007) and can serve
as a role model (Lockwood and Kunda, 1997), they can also hinder their professional
development because they constrain the opportunity to perform that junior employees
especially need. The importance of providing employees in early career stages with per-
formance opportunities is underlined by the finding that the positive effect of star absence
66 Chapter 2
is particularly salient for rookies in the middle of the talent distribution. Whereas the
most talented rookies presumably do not need star absence to get enough opportunities,
the extra opportunities are integral for the development of less talented junior employees.
Beyond these theoretical considerations, the results of this paper also have practical
implications. First, this paper highlights that opportunities are of paramount importance
for the professional development of employees. Managers should therefore ensure that they
grant non-stars enough opportunities to perform, especially junior employees. Somewhat
counterintuitively, my results suggest that managers should focus these efforts on junior
employees who are talented, but not among the very best of their cohort. Although this
strategy obviously does not guarantee that junior employees will develop into stars, the
lack of opportunity will impede all efforts to grow stars internally.
Second, managers should be aware that there is, quite literally, an opportunity cost
associated with focusing their operations on a few dominating stars. While it may be
beneficial from a performance standpoint, it can be an impediment to the development of
other employees. Managers interested in long-term planning should therefore be cautious
of relying too heavily on stars. They may even want to sit out their stars occasionally,
for example by sending them to training programs (Chen and Garg, 2018). This can be
seen as an investment in both the star, who gets additional training, and the non-stars,
who profit from new opportunities during the star’s absence.
Finally, my findings suggest that there is a certain value to disruptive events, such as
star absence. In particular, these events may help to identify undiscovered talent and
utilize untapped potential. Managers may thus want to reconsider their tendency to view
change as threatening and instead actively embrace the chances it brings.
While the NBA context has several important advantages for the purpose of this study,
employing data from professional sports always implies a trade-off between data richness
and generalizability. Over the past years, sports data has become increasingly popular
in organizational research indicating a general consensus about its usefulness. Still, it is
a valid concern whether the findings of this paper generalize to other settings. A cen-
tral aspects of my theorizing is that stars use their internal power to become dominant
forces within the organization, thereby constraining the performance opportunities for
non-stars. Regarding the empirical setting, NBA teams are characterized by high inter-
dependence and NBA players are equipped with highly specialized human capital. As
such, my findings might be representative for other settings that exhibit high levels of
interdependence and specialization, such as surgical units, technical emergency services,
and teams of management consultants or lawyers. The opportunities to perform are of-
ten limited in these professions making it likely that stars overshadow their colleagues.
Whether it is the important client presentation, the pivotal court hearing or the critical
surgical intervention – very much like in basketball teams, stars often take over in these
situations.
Besides the question of generalizability, this study has a number of other limitations.
Out of the Shade, into the Light 67
First, my measures for individual productivity and opportunity, points and field goal
attempts, are based on offense. This has practical reasons – field goal attempts provide
a formidable measure of opportunity – as well as theoretical reasons – offensive output
matters for players’ popularity and salaries (Wang, 2009). Yet, both measures focus on a
specific part of the game and do not capture the overall performance of a player. Second,
stars are solely defined in terms of productivity in this paper. While this approach has a
rich tradition in prior research, it neglects other star types that have been shown to impact
their colleagues (see e.g., Grigoriou and Rothaermel, 2014; Oettl, 2012). Moreover, the
star definition relies on a simple dichotomy of stars and non-stars, which is not nuanced
enough to cover all gray areas inbetween. It is also based on a within team comparison
and thus identifies local stars, whereas other studies often use industry-wide benchmarks
(e.g., Azoulay et al., 2010; Krueger, 2005; Zucker et al., 2002). Third and lastly, the
start and duration of the post absence phase is potentially endogenous. While injuries
provide an exogenous shock to star absence, the comeback of a star is at least partly
a managerial decision. Although this issue should not invalidate my empirical strategy
given the incentives in the NBA, it deserves mention.
In the end, this paper points to several avenues for future research. First, it would be
interesting to examine further how non-star characteristics affect the interplay between
stars and their colleagues. In particular, investigating the non-stars’ skill sets and com-
paring them to the skills of the star seems promising. Similarly, the extent to which
non-stars are specialized deserves attention because it affects how they can capitalize on
new opportunities. Second, future work could also expand on the long-term effects of star
absence. The opportunities provided by star absence increase the non-stars’ visibility
in the labor market and it would be interesting to analyze whether this leads to higher
wages or more successful career paths. Finally, organizational features like hierarchy or
task allocation certainly influence how stars impact other employees and exploring these
contingencies merits attention.
7 Conclusion
When MPLS left Cisco, management and media were alarmed but the former colleagues of
the four star engineers did not neccessarily share that grief. By investigating the effects
of star absence on non-star productivity, this paper provides an explanation for their
opposite reactions: While star absence is detrimental to the organization as a whole, it
provides new opportunities for employees that were overshadowed by the star. This study
thus highlights that the impact of stars on their environment is not unidirectional, but
can be ambiguous. Stars are undeniably valuable for organizations, but managers should
recognize that relying on them comes at a price as it constrains development opportunities
for those around them.
68 Chapter 2
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Me over We:
Personal Rivalry Increases
Individual Output, but Crowds Out
Organizational Interests
Abstract. Acknowledging the relational nature of competition, this paper
investigates the effects of personal rivalry on individual behavior in collabora-
tive and interdependent working environments. Specifically, I analyze how the
presence of an external personal rival affects star employees’ individual output
and their contribution to organizational performance. Drawing on theories of
social comparison and self-maintenance, I propose that personal rivals invoke
strong social comparisons and threaten the star’s self-esteem. In their desire to
outperform their rivals and avert damage to their ego, stars focus on individual
output that is both highly visible and highly self-relevant – the “me.” At the
same time, they neglect other activities that are less visible and self-relevant,
but still important for organizational performance – the “we.” Competing with
a personal rival therefore has an adverse effect: Stars increase their individual
output, but they contribute less to organizational performance. I test these
arguments on a sample of stars in the National Basketball Association. Com-
paring star performance in games where they compete with a personal rival
to games where no rival is present provides strong support for the proposed
ideas. The findings underline the importance of personal motives in orga-
nizational contexts where strong feelings like personal rivalry can crowd out
organizational interests.
1 Introduction
Rivalry is more than just competition. While the desire to win is inherent in competition,
rivalry amplifies the urge to beat the opponent. Recent research has established that
rivalry can increase motivation and performance (Kilduff et al., 2010; Kilduff, 2014). At
the same time, it has been shown that rivalry has a “dark side” that can hurt organizations
(Kilduff et al., 2016). Employees in modern organizations are embedded in organizational
structures with manifold interrelations and conflicting interests. In this environment,
74 Chapter 3
personal rivalry is particularly delicate because the individual’s desire to outperform a
rival might not be in the best interest of the organization. This raises the question of how
personal rivalries affect individual behavior and organizational outcomes.
I address this question by analyzing how personal rivalry influences the individual
behavior of star employees in collaborative and interdependent working environments.
I focus on stars because they have a big impact on their peers (Azoulay et al., 2010),
teams (Thomas and Dahlander, 2017) and organizations (Zucker et al., 1998). Since stars
are defined by disproportionately high output and visibility (Call et al., 2015) and elicit
particularly strong feelings of rivalry (Kilduff et al., 2010), rivalries among them attract
special public interest and are more likely to carry over to the organizational level. In
short, star rivalries are particularly consequential for organizations. Therefore, this paper
asks how stars’ individual output and their contribution to organizational performance
change when they compete with an external personal rival, an opponent who makes them
feel heightened stakes of competition (Kilduff et al., 2010).
To answer this question, I draw on theories of social comparison and self-maintenance.
I propose that personal rivalry has an adverse effect on star performance: Stars increase
their individual output when facing a personal rival, but at the same time they contribute
less to organizational performance. Researchers across different fields have long acknowl-
edged that individual and organizational interests are not always perfectly aligned (e.g.,
DeShon et al., 2004; Holmstrom, 1982; Van Der Vegt and Bunderson, 2005). For example,
helping others might be important for collaborative outcomes, but often is not adequately
rewarded (Oettl, 2012). Thus, employees have to constantly balance how much time, at-
tention and resources they devote to actions that do not increase their individual output,
but do help the organization. I suggest that competing with a personal rival upsets this
balance because it shifts the stars’ interests towards their individual output. Personal
rivals invoke social comparisons that threaten the self, including one’s status and sense of
competence (Kilduff et al., 2016; Menon et al., 2006). To maintain self-esteem, stars strive
to outperform their personal rivals and focus on highly visible and self-relevant individual
output. They thereby neglect less visible but still important parts of their performance
and hurt organizational efficiency. This reduces their contribution to organizational per-
formance. In other words, personal rivalry crowds out organizational interests.
I tested these hypotheses on a dataset of star basketball players in the National Bas-
ketball Association (NBA) by comparing their individual output and their contribution
to organizational performance in games where they compete with a personal rival to
games where no rival is present. My dataset contains comprehensive information on all
NBA games of the seasons 1998-99 to 2013-14 and offers detailed data to quantify each
player’s individual output as well as his contribution to team performance. Combining
this data with external information on personal rivalries among NBA stars enables me to
distinguish between rival and non-rival competition. The final sample consisted of 25,293
player-game observations with 1,678 player-game observations where a star played against
Me over We 75
his personal rival (6.6%). Consistent with my approach of analyzing differences between
rival and non-rival competition, I estimated fixed effects models and controlled for a wide
range of game, team, opponent and individual characteristics.
My results support the adverse effect of personal rivalry on stars’ individual output and
their contribution to organizational performance. In line with the hypotheses, I find that
stars do score more points when facing a personal rival. Points are particularly visible and
highly self-relevant for the stars’ identities. At the same time, I find that stars contribute
less to the performance of their organizations when they compete with a personal rival.
This is indicated by significantly lower net ratings, which essentially measure how well
the team is doing when the star is on the court. Additional analyses provide evidence
that stars indeed use individual output as a benchmark for social comparison. I also
consider and rule out three alternate explanations for the adverse effect of competing
with a personal rival: opposing star talent, financial and non-pecuniary incentives and
organizational rivalries. Finally, I examine two channels through which the star’s reduced
contribution can be explained: (1) neglecting less visible but still important activities,
and (2) decreasing organizational efficiency.
This paper makes three contributions, to the literatures on individual and organizational
performance, stars, and rivalry. First, I contribute to the literature by underlining the
importance of personal motives for individual and organizational performance. While
much of the literature has focused on the effects of different kinds of human capital (e.g.,
Becker, 1962; Groysberg et al., 2008; Huckman and Pisano, 2006; Oldroyd and Morris,
2012), my paper highlights that individual performance is strongly determined by the
competitive environment under which the skills are put to use. By investigating the
personal relationships of star employees, I comply with the call to focus more strongly on
the micro-foundations of organizational performance (Foss and Pedersen, 2016). Indeed,
my results show that personal motives directly affect organizations, because they alter how
much employees contribute to organizational performance. Second, this paper extends
the literature on stars by providing an important boundary condition for their positive
impact. While prior research has found that organizations generally benefit from stars
(e.g., Agrawal et al., 2017; Kehoe and Tzabbar, 2015; Zucker et al., 1998), this paper
shows that this effect is distinctly reduced when the stars face a personal rival. As such,
this study extends our understanding of star behavior by identifying personal rivalry as a
strong, previously unexplored driver. Finally, I advance the relatively novel literature on
rivalry by highlighting an important behavioral consequence that has not been explored
thus far. Lately, the “dark side” of rivalry has gained attention and rivalry has been
linked to unethical behavior (Kilduff et al., 2016). This paper illuminates the dark side
of rivalry further by presenting a more subtle version of it: Even when individuals do not
commit misconduct, personal rivalry can be harmful because it crowds out organizational
interests.
76 Chapter 3
2 Theory and Hypotheses
2.1 Personal Rivalry
Rivalry is a subjective competitive relationship, in which an actor shows increased psy-
chological involvement and perceives higher stakes of competition, independently of the
objective characteristics of the competition (Kilduff et al., 2010). It is thus not the po-
tential rewards of the contest that cause extra motivation. Instead, rivals place greater
emphasis on their competitive comparisons because of their special relationship. This
definition of rivalry differs from other research that has used rivalry simply as a synonym
for competition (e.g., Levine and Thompson, 1996). Following Kilduff et al. (2010), I view
rivalry as an explictly distinct construct.
Vital to rivalry is that the competitors’ relationship heigthens the stakes of competition.
But how does competition turn into rivalry? Kilduff et al. (2010) have identified three
antecedents of rivalry: similarity, repeated competition and competitiveness. Rivalry
thus develops when similar actors compete repeatedly in evenly-matched contests. At the
same time, rivalry is subjective and depends on perception. As such, it does not have
to be reciprocal and indeed high-status actors elicit strong feelings of rivalry they do not
neccessarily reciprocate (Kilduff et al., 2010).
Rivalry can arise both between individuals and between organizations. At the organiza-
tional level, firms may define their identity, performance and goals in contrast to their long
standing industry competitor (Kilduff et al., 2010). Corporate rivalries such as Microsoft
vs. Apple, Coke vs. Pepsi or Adidas vs. Nike elucidate that rivalry can permeate whole
organizations. At the individual level, rivalry may arise between colleagues competing
for promotions, athletes competing for roster spots or highschool students competing for
popularity. I focus on rivalries between individuals and refer to them as personal rivalries.
Personal rivalries can occur both within and between firms. Rivals at the same organiza-
tion can be regarded as internal rivals and rivals at competing organizations as external
rivals (Menon et al., 2006). I concentrate on external personal rivals, more specifically on
personal rivalries between stars of opposing NBA teams.
Star rivalries are particularly interesting for several reasons. First, stars have a big
impact on the performance of their peers (Azoulay et al., 2010), teams (Thomas and
Dahlander, 2017) and organizations (Zucker et al., 1998). Changes in star performance are
therefore especially consequential to organizations. Second, star rivalries are more likely
to carry over to the organizational level due to the stars’ high status and influence within
organizations. As such, star rivalries are oftentimes emblematic for rivalries between
organizations. Consider Bill Gates and Steve Jobs; beyond all personal competition and
animosity, the star CEOs also personified the organizational rivalry between Microsoft
and Apple. Third, high rankings intensify competition (Garcia et al., 2006) and rivalry
is felt more strongly towards high-status actors (Kilduff et al., 2010). Thus, stars elicit
Me over We 77
stronger feelings of rivalry. Finally, there is a special public interest in star rivalries. In
professional sports, these rivalries are often the focus of media coverage and the hook used
to market games.
2.2 Personal Rivalry and Individual Performance
Personal rivalry is a powerful psychological phenomenon with substantial behavioral im-
plications. Recent research has found that rivalry can increase motivation and perfor-
mance. Kilduff et al. (2010) showed that rivalry is associated with increased performance
in effort-based tasks, namely defense in college basketball. At the individual level, Kilduff
(2014) provided evidence that rivalry increases motivation and performance by showing
that long-distance runners ran significantly faster when they competed with a rival. These
empirical findings support theoretical considerations, where rivalry is conceptualized as a
relationship that increases the subjective valence of the competitive results (Kilduff et al.,
2010). But why does rivalry increase motivation and performance?
According to social comparison theory (Festinger, 1954), people have an inherent drive
to evaluate themselves, their opinions and abilities. As objective means for comparison are
usually unavailable, they rely on social comparisons. One reason why individuals engage
in social comparison is self-enhancement, i.e. to maintain or increase their self-esteem
(Wood, 1989). To that end, individuals aim to achieve favorable comparisons, for example
by making downward comparisons (Wills, 1981). When competing with a personal rival,
however, individuals naturally compare themselves to their rivals. Personal rivals prevent
self-enhancing comparisons and are therefore perceived as an ego threat. Losing to a
personal rival not only threatens self-esteem, but can also involve loss of social status and
economic costs (Menon et al., 2006). To avoid these consequences, people are particularly
motivated against personal rivals and adopt performance goals (Kilduff et al., 2016).
While learning goals are focused on increasing own skills and competence, performance
goals are characterized by the desire to outperform others and demonstrate superior ability
(Dweck and Leggett, 1988). As personal rivals invoke strong social comparisons, stars thus
primarily focus on their relative performance to their rival. Striving to outperform their
rivals, they concentrate on individual output, and not organizational outcomes, for two
reasons.
First, individual output is highly visible. It can be measured with relative ease, is reg-
ularly used to evaluate employees and often determines part of their pay, for example
in piece rate pay schemes (Lazear, 1986). As work in modern organizations has become
increasingly collaborative and interdependent (Wuchty et al., 2007), stars affect organiza-
tional outcomes in more ways than only by what they produce themselves. For instance,
it also matters how they help others (Oettl, 2012). However, indirect contributions like
helping often happen informally and are therefore more opaque. Whereas individuals
often fail to get proper recognition for their indirect contributions, employees do receive
78 Chapter 3
credit for individual output. As such, focusing on individual output can boost self-esteem
and is a response to the self-maintenance needs invoked by the personal rival.
Second, individual output is highly self-relevant. Following self-evaluation maintenance
theory, the evaluation of another’s performance depends critically on whether the domain
is self-relevant (Tesser, 1988): If a close other performs well in a domain that is self-
relevant, it threatens the individual and his or her self-esteem. This implies that rival
performance is particularly motivating in domains that are relevant to the star’s self-
definition. Since individual output can be clearly attributed to the employee, it is more
self-relevant than organizational performance, which is more distant and can only partly
be controlled by the individual. For stars, individual output is particularly self-relevant
because extraordinary individual performance is a hallmark of stardom (Call et al., 2015).
Focusing on individual output is therefore a self-serving reaction to the ego threat imposed
by a personal rival.
Overall, personal rivals invoke a psychological threat to the star’s self-esteem and social
status. To outperform their personal rivals and avert damage to their self-esteem, stars
focus on individual output that is both highly visible and self-relevant. I therefore predict:
Hypothesis 1. When competing with a personal rival, stars increase their
individual output compared to non-rival competition.
In principle, increased individual output by the star is also advantageous for organiza-
tions. At the same time, it has already been noted that it is not the only way that stars
contribute to organizational performance. In fact, stars already produce disproportion-
ately high levels of individual output so that a further increase might not be optimal from
an organizational standpoint. In particular, the stars’ focus on individual output can
hurt their organizations for two reasons: (1) Stars neglect less visible but still important
activities and (2) stars behave selfishly at the cost of organizational efficiency.
First, focusing on individual output implies neglecting other activities that are less
visible but make an indirect contribution to organizational performance, such as helping,
mentoring or coordinating. In collaborative and interdependent working environments,
employees face a fundamental trade-off between individual output and these indirect con-
tributions. While they engage in one, they cannot engage in the other. Consequently,
they have to constantly balance how much time, attention and resources they devote to
each of the actions. As indirect contributions are less visible and less self-relevant, outper-
forming the personal rival along these dimensions would not satisfy the self maintenance
needs of the ego-threatened star. This is problematic because these activities are vital for
organizations where people work collaboratively and interdependently. High interdepen-
dence requires close coordination of the employees’ actions (Wageman, 1995). Similarly,
mentoring facilitates knowledge transfer that is crucial for organizations (Argote and In-
gram, 2000). Lastly, helping is at the very heart of teamwork where people achieve more
Me over We 79
together than they could have done individually (Marks et al., 2001). Neglecting these
activities thus hurts organizational performance.
Second, it is possible that stars increase their individual output at the cost of efficiency.
Star research has repeatedly shown that organizations face difficulties in integrating star
talent (e.g., Chen and Garg, 2018; Groysberg et al., 2008, 2011). A basic theme in this
context is that stars behave too selfishly. For example, Groysberg et al. (2011) have
argued that too many stars hurt organizational performance because they are unwilling
to share information, cooperate, make joint decisions, and engage in related integrative
behaviors. Apparently, stars prioritize individual performance. As they already produce a
disproportionately high amount of individual output under normal conditions (Call et al.,
2015), producing even more to outshine their rival is only feasible with great effort. As
such, the star’s focus on individual output might come at the expense of organizational
efficiency. As a byproduct, the star’s behavior might have adverse effects on his or her
colleagues. Highly talented employees are particularly influential in organizations (Hamil-
ton et al., 2003). Furthermore, the prominent role of stars can cause envy and make their
colleagues particularly sensitive to the star’s behavior (Groysberg et al., 2008). A star
focusing on individual output may therefore cause other employees to do the same and
withhold cooperation, which could decrease organizational efficiency further.
Altogether, the stars’ increasing individual output might not be as beneficial to orga-
nizations as one might initially think. Focusing on individual output comes at the price
of neglecting less visible activties that are important for interdependent and collaborative
organizations. Further, increasing an already high level of individual output can hurt
organizational efficiency. I therefore hypothesize:
Hypothesis 2. When competing with a personal rival, stars contribute less to
organizational performance compared to non-rival competition.
3 Methods
3.1 Empirical Setting
Research Context
Analyzing the effect of personal rivalry on star performance requires detailed information
about individual performance and personal relationships. The NBA offers both: The
league records a wide range of performance-related statistics at the individual and or-
ganizational level. This enables me to measure individual output in a collaborative and
interdependent setting, which is critical to test the hypotheses. Equally important, data
on team outcomes render it possible to quantify the star’s contribution to organizational
performance. Additionally, the broad media coverage provides information about personal
rivalries (as detailed below).
80 Chapter 3
The NBA is an interesting setting to study star rivalries for other reasons than just data
availability. The NBA is the leading league in mens’ professional basketball and highly
competitive. A rich competitive history can turn competition into rivalry (Kilduff et al.,
2010) and NBA teams play each other between two and four times in the regular season
and up to seven times in the playoffs. NBA stars compete against each other frequently
and intensively. Within each game, they play against each other on most possessions, often
guarding each other. Add athletes’ notoriously big egos and the infamous “trash talk”
that is common to some competitive sports, and the contests quickly become personal.
Off the court, the coverage and marketing of NBA games often draws on star comparisons
(“marquee matchups”) amplifying personal rivalries. Considering these factors, it does
not come as a surprise that one of the most iconic rivalries in professional sports stems
from the NBA – the legendary feud between Larry Bird and Magic Johnson.
Rival Identification
Personal rivalry is an intimate feeling that people might be reluctant to report. Therefore,
a major obstacle in rivalry research is to get information about rivalrous relationships,
i.e. who feels rivalry towards whom. Luckily, my setting provides such information. On
the occasion of its 70th birthday, the NBA published a list of the “70 greatest player
rivalries in NBA history” (Cohen, 2016). The list featured 70 pairs of NBA stars that
constituted the greatest player rivalries in the league. The following six criteria were used
to determine the ranking (Cohen, 2016):
1) What is the historical significance between the two players?
2) Did the two players meet often in the playoffs and if so, how competitive
were they against one another?
3) Are the players attached in some way (same draft year, traded for each
other, former teammates)?
4) Were the two players often the “marquee matchup” of the night when
their teams played against each other?
5) Was there an incident or altercation that created bad blood between the
two players?
6) Do media and fans tend to compare the two players and create debate as
to who was the better of the two?
These criteria capture the antecedents of rivalry well: similarity (criterion 3), repeated
competition (criteria 2 and 4) and competitiveness (criteria 2 and 6) all play an important
role in identifying the star rivalries. This validates the list as a legitimate and reliable
source for star rivalries in the NBA. As an aside, it also shows that the (academically
identified) antecedents of rivalry are in harmony with the public perception of what drives
Me over We 81
rivalry. Another advantage is that the list utilizes journalistic background information
(criteria 5 and 6) and expertise (criterion 1). As such, it reflects public perception which
seems appropriate, as star rivalries in the NBA are fueled and enhanced by the media
and public. Finally, the ranking provides an exogenous rival definition which is desirable
from a methodological standpoint.
Sample and Data
I consider the star pairs listed in the ranking as rivals and assume that both stars feel
rivalry towards one another, i.e. that rivalry is reciprocal. While rivalry does not neces-
sarily have to be symmetric (Kilduff et al., 2010), reciprocity is a reasonable assumption
for the highly recognized star rivalries considered here. The list included 68 NBA stars in
70 rival pairs. Out of these, 39 stars (57.4%) and 45 rival pairs (64.3%) were still active
in the seasons 1998-99 to 2013-14 that constitute my sample. The full ranking as well as
information about the rival pairs in my sample is given in Table A1 in the appendix.
The analysis is based on a comprehensive dataset of 20,026 NBA games during the
seasons 1998-99 to 2013-14, which I retrieved from the league’s official site, www.nba.com,
and complemented with additional information on player characteristics, individual awards
and salaries from www.basketball-reference.com.1 Both data sources provide reliable
statistics and have been used in recent empirical research in economics and manage-
ment (e.g., Arcidiacono et al., 2017; Ertug and Castellucci, 2013; Zhang, 2017). Based on
this dataset, I constructed my sample by selecting all player-game observations of stars
that were (1) listed in the ranking and (2) active in that time period. I included all
player-seasons in which both the focal star and his rival were active in the NBA. This
means that all player-seasons were included in which a star could potentially have faced
a rival. It does not mean, however, that the stars have played a rival in all those seasons
because either of the rivals can miss the pairing, e.g. due to an injury. The final sample
consisted of 25,293 player-game observations with 1,678 player-game observations, where
a star played against his personal rival (6.6%).
Some of the NBA’s greatest players like Michael Jordan, Kobe Bryant or LeBron James
appear in my sample. Overall, the players in the sample averaged 35.39 minutes per game
(22.98 for the other players active between 1998 and 2014), 20.11 points per game (other
players: 8.84) and an individual plus-minus statistic of 3.08 (other players: -0.21).2 On
average, the players in my sample made 11.75 million USD per year, more than three
times as much as players that were not included (3.54 million USD per year). These
numbers illustrate that the player sample is indeed composed of NBA stars.
1 The data was collected in 2014 and was not available at the required level of granularity before theseason 1998-99.2 The plus-minus statistic is an individual point differential which records the team’s point differentialwhen a player is on the court.
82 Chapter 3
3.2 Variables
Dependent Variables
H1: Individual output. I employed Points as a measure for individual output. Points
are critical for basketball teams as games are decided by the number of points. At the
same time, scoring is a particularly visible element of individual performance in the NBA
(Wang, 2009): It is easily observed, attracts more attention than other actions and is
positively related to players’ salaries and popularity. Usually it is also the most dominant
statistic in the coverage of NBA games.
H2: Contribution to organizational performance. I measured the star’s contribution
to organizational performance with the Net rating. It measures the team’s point differen-
tial per 100 possessions while a player is on the court. It is important that the net rating
is an individual-level statistic. It captures how well the team is doing while a player is
on the court and varies from player to player.3 It reflects not only the direct individual
output of the players, but also their indirect contributions. As such, it is a good measure
for the star’s overall contribution to organizational performance. The net rating is closely
related to the plus-minus statistic (r = 0.93), but is adjusted for the number of possessions
a player plays. As it accounts for differences in playing time and game pace, it is more
comparable. Another advantage is that the NBA provides a decomposition into offensive
and defensive ratings, which I used in additional analyses.
Independent Variable
Rival present. The presence of a personal rival was recorded by an indicator variable
that switches to one whenever two stars that were listed as rivals competed against each
other. I additionally required that the two players must have played against each other at
least four times in their careers. This accounts for the fact that some rivalries may have
only developed over time and may have not existed in earlier phases of the stars’ careers.
More technically, Rival present became one whenever (i) star i competed against one of
his listed rivals in game t and (ii) they had competed in at least four games prior to t
during their careers.4
Control Variables
There are a number of factors that could potentially affect the relationship between per-
sonal rivalry and the outcomes. To ensure that these factors do not bias the results, I
controlled for them in the estimation. The control variables can be grouped into four
sets: game, team, opponent and individual controls. Table 1 provides an overview of the
3 The net rating of two players would only be identical if they were always on the court simultaneously.4 In the robustness checks, I imposed different thresholds for the rivalry definition to ensure that theresults are not driven by a specific cut-off point.
Me over We 83
control variables and their definitions. Some of the included variables are important for
individual output or organizational contribution, but are not systematically related to
the presence of a personal rival. Missing to control for them would therefore not bias the
estimates. I still included them to improve model fit.
3.3 Estimation Strategy
To investigate the effects of personal rivalry and test my hypotheses, I compared the
performance of stars in games in which they face a personal rival to games in which
they do not. Hence, the basic unit of observation is the player-game. Since I observe
all NBA players in all games of the seasons 1998-99 to 2013-14, I am able to trace the
stars over multiple games. The longitudinal data structure also enabled me to employ
individual fixed effects to account for time-invariant unobservable characteristics of the
stars, such as talent and competitiveness. While this is critical for any study analyzing
individual performance, it seems particularly important for my research question because
these characteristics very likely affect both individual performance and feelings of personal
rivalry. Failing to account for such time-invariant unobservables would therefore introduce
endogeneity and bias the estimates.
To circumvent this problem, I estimated fixed effects panel data models by ordinary
least squares (OLS). The estimating equations related star i’s individual output (H1) and
contribution to organizational performance (H2) in game t to the presence of a personal
rival while controlling for characteristics of the game t, the focal team j, the opponent k
and the focal star i:
Yijkt = β0 + β1RivalPresentit + β2X′ijkt + γi + δT ,
where Yijkt denotes the outcome of interest, i.e. Points for H1 and Net rating for H2.
Rival presentit is the independent variable indicating whether star i faced a rival in game t.
X ′ijkt represents the matrix of control variables that change slightly between the different
models as outlined in Table 1. The γi’s are individual level fixed effects consistent with my
approach of focusing on changes in i’s outcome when competing against a rival. Finally,
the δT ’s stand for a set of season indicator variables capturing effects specific to individual
seasons. Together with the dummy variables for season progress, Mid season, Late season
and Playoff, these variables pin down effects specific to different time frames in a star’s
career.
Due to the interdependence of the observations for each star, I clustered standard
errors at the individual level. Clustered standard errors allow for correlation among the
idiosyncratic individual errors and heteroskedasticity and provide a more conservative
test of the hypotheses. The asymptotic approximation of clustered standard errors relies
on a large number of clusters and the 39 clusters formed by the stars in my sample
seem to be just enough (Angrist and Pischke, 2009). I ran the estimation in steps to
84 Chapter 3
Table 1: Description of Control Variables
Variable DescriptionGame controls
Home To account for home-court advantage, Home is an indicatorvariable for games played at home.
Back to back Back to back indicates whether the player has played thenight before to control for physical exhaustion.
Mid/Late season Accounting for season progress, Mid season and Late seasonindicate games in the second and final third of the regularseason, respectively.
Playoff Playoff is a dummy variable for playoff games, the tourna-ment to determine the NBA champion.
Attendance To control for public attention, Attendance contains thenumber of spectators of game t.
Overtime NBA games that are tied at the end of the fourth quarter gointo overtime, a series of additional five minutes to decidethe game. Overtime 1, Overtime 2 and Overtime 3 areindicator variables for the respective overtime.
Team controlsWin percentage To control for general quality of the focal team, Win per-
centage captures the team’s winning percentage. It is cal-culated based on all games of the focal season that wereplayed prior to game t.
H1: Team points per game Team points per game measures the focal team’s offensivequality as the average number of points the team has scoredin all games of the focal season prior to game t.
H2: Team net rating Team net rating is calculated as the focal team’s averagenet rating in all games of the focal season up to gamet. Analogously to the player level, it measures the team’spoint differential per 100 possessions and reflects overallteam quality. To avoid multicollinearity, I omitted Win per-centage when testing H2.
Opponent controlsOpp. win percentage Capturing overall quality of the opponent team, Opponent
win percentage is calculated analogous to the focal team’swinning percentage.
H1: Opp. points allowed per game To capture the defensive quality of the opposition, Oppo-nent points allowed per game records the average pointsconceded in all games of the focal season prior to game t.
H2: Opp. net rating Opponent net rating is calculated analogously to the focalteam’s average net rating and accounts for opponent qual-ity. Again, I excluded the opposing team’s win percentagewhen testing H2 for multicollinearity concerns.
Individual controlsAge Age captures the player’s age (to the day).
Experience To account for experience, Experience counts the star’sNBA games up to game t.
Tenure Tenure counts the star’s games for his team up to game t.
Me over We 85
make the modelling process as transparent as possible. I first estimated a model that
included only the control variables. Analyzing the effect of competing with a personal
rival, I started with a parsimonious model that contained only the independent variable,
individual fixed effects and season dummies. Then, I successively added the different sets
of control variables: game, team, opponent and individual controls.
4 Results
4.1 Personal Rivalry and Individual Performance
Table 2 reports descriptive statistics and pairwise correlations of all variables. In 7%
of the observations a star faced a personal rival. On average, the stars scored 20.12
points per game and achieved a net rating of 4.44. Generally, the correlations among
the variables that were included in one model are modest and provide little concern of
multicollinearity (excluding individual controls which are highly correlated, the highest
correlation is 0.44).5
Hypothesis 1
The first hypothesis suggests that stars increase their individual output when they com-
pete with a personal rival. I tested this hypothesis by comparing the stars’ scoring in
games where they faced a personal rival to games where they did not compete with a
rival. Table 3 presents the results. Model 1 reports a specification including only the
controls as a baseline. Without including any controls, the presence of a personal rival
was associated with an increase in star scoring of 1.42 points (Model 2). This effect was
reduced by successively adding the different sets of control variables, but remained posi-
tive and significant. In the full model the point estimate was exactly 1 (Model 6). When
competing with a personal rival, stars increase their individual output by one point. At
first glance, the effect size may not seem huge given that the stars scored roughly 20 points
per game on average (corresponding to a 5% increase in individual scoring). However,
the coefficient is more than twice as big as that of playing at home, which is generally
considered a big advantage in professional sports. Thus, competing with a personal rival
has a significant and considerable effect on individual output, even after controlling for a
wide range of game, team, opponent and individual characteristics. Hence, I find support
for Hypothesis 1.
5 There are differences between the statistics for the focal and opponent teams because not all teamshave a star. Opponent statistics are based on all teams while focal team statistics are only based on theteams of the stars studied.
86 Chapter 3
Ta
ble
2:
Descrip
tiveS
tatistics
an
dP
airw
iseC
orrela
tion
s
Mea
nS
.D.
Min
Ma
x1
23
45
67
8D
epen
den
tvaria
bles
1P
oints
20.129.44
081
12
Net
rating
4.4421.02
-164.60300
0.151
Ind
epen
den
tvaria
ble
3R
ivalpresen
t0.07
0.250
10.05
-0.051
Ga
me
con
trols
4H
ome
0.500.50
01
0.020.22
-0.001
5B
ackto
back
0.210.41
01
-0.02-0.06
-0.05-0.21
16
Mid
season0.31
0.460
10.01
-0.00-0.02
-0.010.03
17
Late
season0.28
0.450
1-0.01
0.02-0.03
0.000.03
-0.421
8P
layoff0.11
0.310
10.04
-0.030.16
0.00-0.18
-0.23-0.22
19
Atten
dan
ce18,038.04
2,657.510
39,5540.06
-0.000.10
0.07-0.06
-0.040.06
0.1910
Overtim
e1
0.050.23
01
0.08-0.04
0.01-0.03
-0.000.01
-0.000.00
11O
vertime
20.01
0.090
10.06
-0.010.01
0.00-0.01
0.01-0.01
0.0012
Overtim
e3
0.000.04
01
0.03-0.00
-0.01-0.01
-0.000.00
0.000.01
Tea
mco
ntro
ls13
Win
percen
tage0.60
0.160
10.05
0.140.04
-0.01-0.04
-0.05-0.02
0.1414
Team
poin
tsp
ergam
e98.05
5.3666
1320.08
0.070.02
0.00-0.05
-0.020.06
0.0815
Team
net
rating
3.225.10
-4239.60
0.060.15
0.05-0.01
-0.04-0.04
-0.020.15
Op
po
nen
tco
ntro
ls16
Op
p.
win
percen
tage0.51
0.180
10.01
-0.210.16
0.01-0.07
-0.05-0.04
0.2417
Op
p.
poin
tsallow
edp
ergam
e96.52
5.4066
123.330.04
0.11-0.08
-0.010.00
0.020.08
-0.1118
Op
p.
net
rating
0.465.76
-4242
0.01-0.22
0.170.01
-0.07-0.06
-0.040.25
Ind
ividu
al
con
trols
19A
ge28.52
5.2818.84
40.19-0.24
0.010.05
0.00-0.01
-0.000.00
0.0320
Exp
erience
7.514.72
018
-0.200.01
0.050.00
-0.01-0.00
-0.010.02
21T
enu
re447.03
329.290
1370-0.02
0.060.04
0.00-0.04
-0.010.02
0.09
Me over We 87
(Tab
le2
Con
tinu
ed)
91
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21
31
41
51
61
71
81
92
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88 Chapter 3
Table 3: Hypothesis 1 – Results from Fixed Effects Estimations
Model Model Model Model Model Model1 2 3 4 5 6
(DV: Points)
Rival present 1.42*** 1.20** 1.20** 1.25*** 1.00**(0.33) (0.34) (0.34) (0.34) (0.33)
Game controlsHome 0.42** 0.41** 0.44** 0.44** 0.42**
(0.14) (0.13) (0.13) (0.13) (0.14)Back to back 0.00 0.02 0.02 0.04 0.02
(0.14) (0.13) (0.14) (0.14) (0.14)Mid season 0.51+ 0.57*** 0.59*** 0.52** 0.50+
(0.29) (0.16) (0.16) (0.15) (0.29)Late season 0.25 0.34 0.35 0.20 0.24
(0.49) (0.21) (0.22) (0.22) (0.48)Playoff 1.41+ 1.33*** 1.18*** 1.14*** 1.30+
(0.73) (0.26) (0.26) (0.25) (0.74)Attendance -0.00 -0.00 -0.00 -0.00 -0.00
(0.00) (0.00) (0.00) (0.00) (0.00)Overtime 1 3.48*** 3.42*** 3.48*** 3.48*** 3.47***
(0.37) (0.35) (0.35) (0.35) (0.37)Overtime 2 6.57*** 6.42*** 6.58*** 6.64*** 6.54***
(0.78) (0.82) (0.83) (0.84) (0.77)Overtime 3 9.27*** 8.90*** 9.27*** 9.09*** 9.33***
(1.80) (1.75) (1.75) (1.80) (1.79)Team controls
Win percentage 3.65* 3.99* 4.12* 3.66*(1.39) (1.59) (1.64) (1.38)
Team points per game -0.00 -0.01 -0.01 -0.00(0.05) (0.05) (0.05) (0.05)
Opponent controlsOpp. win percentage 1.63*** 1.49*** 1.48***
(0.34) (0.36) (0.34)Opp. points allowed per game 0.13*** 0.13*** 0.13***
(0.01) (0.01) (0.01)Individual controls
Age -6.70* -6.61*(2.71) (2.72)
Experience 0.04** 0.04***(0.01) (0.01)
Tenure 0.01** 0.01**(0.00) (0.00)
Constant Yes Yes Yes Yes Yes YesSeason dummies Yes Yes Yes Yes Yes YesIndividual fixed effects Yes Yes Yes Yes Yes Yes
R2 0.1028 0.0026 0.0513 0.0565 0.0609 0.1037Player-game observations 25,293 25,706 25,691 25,368 25,293 25,293
Notes. Coefficients from OLS estimations. Robust standard errors clustered at the star level are inparentheses. Significance levels: + p<0.10; * p<0.05; ** p<0.01; *** p<0.001.
Me over We 89
Hypothesis 2
My second hypothesis is that stars contribute less to organizational performance when
competing with a personal rival. I measured the star’s contribution to organizational
performance by how well his team does when he is on the court, as captured by the
net rating. Table 4 reports the results. Model 7 contains only the control variables
as a baseline. In the parsimonious model without controls the presence of a rival was
associated with a decrease in the net rating of 4.84 points (Model 8). Again, including
the different sets of control variables reduced the effect with opponent controls having the
biggest impact on the point estimate and increasing model fit substantially (Model 11).
The full model indicated a significant net rating reduction of 1.62 points when stars face a
personal rival (Model 12). This is a sizable effect as the stars’ average net rating was 4.44.
Consequently, the presence of a rival is associated with an average net rating reduction
of 36.5%. While stars still have a positive impact on their teams’ point differentials,
their contribution is reduced by more than one third in games against personal rivals.
Hypothesis 2 is thus supported.
Illustration of Results
Figure 1 illustrates the marginal effects of competing with a personal rival on the stars’ in-
dividual output (vertical axis) and contribution to organizational performance (horizontal
axis). Competing with personal rivals moves the points-net rating coordinate northwest
indicating the adverse effect of personal rivalry: It increases individual output, but reduces
the contribution to organizational performance.
4.2 Additional Analyses
To further analyze the proposed theoretical ideas and rule out alternative explanations, I
conducted several additional analyses. First, I tested the assumption that stars compare
each other based on individual output. Subsequently, I considered three alternate expla-
nations for the adverse effect of competing with a personal rival: opposing star talent,
financial and non-pecuniary incentives and organizational rivalries. Finally, I examined
the channels through which the star’s reduced contribution can be explained.
Individual Output as a Benchmark
A central idea in my theorizing is that stars respond to the ego-threat evoked by their
personal rivals by striving to outperform them on highly visible and self-relevant individual
output. This reasoning assumes that rival stars compare themselves based on individual
output. Therefore, more individual output by the personal rival should encourage the
focal star to also produce more individual output. To test this presumption, I replaced
the general indicator Rival present by a measure of the rival’s points, Rival points, and
90 Chapter 3
Table 4: Hypothesis 2 – Results from Fixed Effects Estimations
Model Model Model Model Model Model7 8 9 10 11 12
(DV: Net rating)
Rival present -4.84*** -4.06*** -4.09*** -1.58** -1.62**(0.62) (0.60) (0.62) (0.54) (0.51)
Game controlsHome 8.93*** 8.92*** 9.07*** 8.92*** 8.92***
(0.23) (0.24) (0.26) (0.23) (0.23)Back to back -1.55*** -1.35*** -1.31*** -1.57*** -1.57***
(0.30) (0.33) (0.33) (0.29) (0.30)Mid season -0.53 -0.01 0.06 -0.08 -0.51
(0.56) (0.46) (0.41) (0.38) (0.56)Late season -0.06 1.00* 1.01* 0.82* -0.04
(0.83) (0.41) (0.38) (0.38) (0.83)Playoff -1.86 -2.54*** -3.21*** -0.49 -1.69
(1.14) (0.45) (0.44) (0.45) (1.13)Attendance -0.00 -0.00*** -0.00*** -0.00 -0.00
(0.00) (0.00) (0.00) (0.00) (0.00)Overtime 1 -2.55*** -2.77*** -2.57*** -2.53*** -2.53***
(0.46) (0.48) (0.48) (0.47) (0.46)Overtime 2 -3.47** -3.53*** -3.08** -3.42** -3.44**
(1.12) (0.97) (0.97) (1.12) (1.12)Overtime 3 0.76 -0.14 0.06 0.61 0.65
(1.71) (1.75) (1.69) (1.68) (1.72)Team controls
Team net rating 0.52*** 0.53*** 0.52*** 0.52***(0.05) (0.05) (0.05) (0.05)
Opponent controlsOpp. net rating -0.84*** -0.83*** -0.83***
(0.02) (0.02) (0.02)Individual controls
Age 1.93 1.78(2.84) (2.82)
Experience 0.01 0.01(0.01) (0.01)
Tenure 0.00 0.00(0.00) (0.00)
Constant Yes Yes Yes Yes Yes YesSeason dummies Yes Yes Yes Yes Yes YesIndividual fixed effects Yes Yes Yes Yes Yes Yes
R2 0.1169 0.0046 0.0574 0.0706 0.1171 0.1172Player-game observations 25,293 25,706 25,691 25,377 25,293 25,293
Notes. Coefficients from OLS estimations. Robust standard errors clustered at the star level are inparentheses. Significance levels: + p<0.10; * p<0.05; ** p<0.01; *** p<0.001.
Me over We 91
Figure 1: Hypotheses 1 and 2 – Illustration of Marginal Effects
22
21
20
19
18
-2 -1 0 +2 +3 +4 +5
Points
Net rating
Rival present
Notes. This figure plots the marginal effects of competing with a personal rival onpoints (vertical axis) and net rating (horizontal axis), evaluated at the means ofthe other covariates in the model (marginal effect at the mean). The coordinaterepresents the combination of estimated points and net rating, and the whiskersprovide the corresponding 95% confidence intervals.
regressed it on Points (Model 13) and Net rating (Model 14). The set of control variables
paralleled those in Models 6 and 12, respectively. Since there is no proper equivalent to
the rival’s points in non-rival games, I restricted the sample to games of rival competition.
The results are reported in Table 5.6 They provide support for the theorizing as rival’s
points were associated with a significant increase in the focal star’s points and a significant
decrease in the focal star’s net rating. The adverse effect of competing with a personal
rival thus increases with increasing individual output of the personal rival. This lends
credence to the proposed theoretical mechanism that rival stars focus on individual output
to outperform their personal rivals.
Opposing Star Talent
A first alternate explanation that may account for the adverse effect of competing with
a personal rival is the star talent on the opposing team. One may speculate that the
focal star contributes less to organizational performance because there is another star on
the court whose outstanding talent limits the star’s positive influence. It is possible that
the games where stars compete with a personal rival are also the games where they face
exceptional individual talent, and that precisely this is what reduces their organizational
contribution. To mitigate this concern, I estimated two models where I explicitly con-
6 I do not report the coefficients of control variables in Tables 5 to 7. Generally, these coefficientsstrongly resemble those in Models 6 and 12. Full results for all models are available upon request.
92 Chapter 3
Table 5: Additional Analyses – Results from Fixed Effects Estimations
Model 13 Model 14 Model 15 Model 16(Points) (Net rating) (Points) (Net rating)
Rival present 1.01** -1.25*(0.33) (0.51)
Rival points 0.09** -0.27***(0.03) (0.05)
Opposing star -0.06 -3.08***(0.13) (0.23)
Control variables Yes Yes Yes YesConstant Yes Yes Yes YesSeason dummies Yes Yes Yes YesIndividual fixed effects Yes Yes Yes Yes
R2 0.1458 0.1079 0.1037 0.1208Player-game observations 1,648 1,648 25,293 25,293
Notes. Coefficients from OLS estimations. Dependent variables are in column headers.Robust standard errors clustered at the star level are in parentheses. Significance levels:+ p<0.10; * p<0.05; ** p<0.01; *** p<0.001.
trolled for stars on the opposing team. Therefore, I constructed an indicator variable
Opposing star that became one when the opposing team had at least one All Star or
All NBA Player.7 The results are reported in Table 5 (Model 15 and 16). I find con-
sistent support for the main results. While a star on the opposing team had indeed a
strong negative effect on the focal star’s net rating, the negative effect of competing with
a personal rival persisted (Model 16). Interestingly, playing against a non-rival star has
no significant effect on the focal star’s points (Model 15). This supports the idea that
personal rivals, and not simply other stars, evoke social comparisons that induce stars to
focus on individual output. Consequently, the observed relationships cannot be explained
by competition from opposing stars, but are indeed rivalry effects.
Financial and Non-Pecuniary Incentives
Another potential reason why stars might focus on individual output and neglect other
activities are individual incentives. Individual scoring is connected to higher popularity
and salaries in the NBA (Wang, 2009). Hence, stars have an additional incentive to
focus on individual output when they compete for a new contract. This phenomenon is
also known as the contract year syndrome (White and Sheldon, 2014). To rule out this
competing explanation, I included a dummy variable Contract year indicating seasons
in which the focal star had an expiring contract and had not yet signed a new contract.
Models 17 and 18 in Table 6 show that my findings are not driven by the contract year
syndrome. Interestingly, the coefficients for Contract year were insignificant and negative.
7 The best players of each season are nominated for the NBA All Star Game (24 players; after twothirds of the regular season) and the All NBA Teams (15 players; end of the season). Besides individualawards, these nominations are the highest individual honors and hence a good indicator for star status.
Me over We 93
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94 Chapter 3
A possible explanation for this is that the stars in my sample typically extended their
contracts before the last contract year. Only in later stages of their careers, did they
go into seasons with an expiring contract. Besides financial incentives, stars can also
be motivated to focus on individual output by public recognition. A common theme in
NBA coverage are so called career milestones, where players pass a certain threshold in
points (typically in steps of thousands). To control for this temporary extra incentive, I
added the indicator variable Milestone that became one when the focal star was within
50 points of the next 1,000-increment in career points. Models 19 and 20 in Table 6 show
that being close to a career milestone did not significantly change star’s behavior and,
more importantly, left the coefficients of Rival present unchanged. Neither financial nor
non-pecuniary incentives can thus explain the adverse effect of competing with a personal
rival.
Organizational Rivalries
Lastly, stars might not react to personal rivalries but to rivalries at the organizational level.
They might increase their individual output not to outshine their personal rival, but to
gain popularity by standing out against a rival franchise. Disentangling these two levels of
rivalry, I constructed a dummy variable Team rivalry that indicated franchise rivalries and
included it in the estimation. This variable switched to one for 23 well-known franchise
rivalries in the NBA.8 Table 6 presents the results. Playing against a rival team has a
similar effect as competing with a personal rival. It increased individual output (Model
21), but reduced the contribution to organizational performance (Model 22). Controlling
for organizational rivalries also reduced the estimated effects of competing with a personal
rival, but both coefficients remained significant. The adverse effect of personal rivalry thus
persists over and above rivalries at the organizational level. However, the reduced effect
sizes suggest that personal and organizational rivalries are correlated and intertwined.
While the two levels of rivalry cannot always be cleanly distinguished, organizational
rivalries alone cannot explain my findings.
Mechanisms Underlying the Star’s Reduced Contribution
After ruling out alternate explanations, I extended the analysis to shed light on the chan-
nels through which the star’s reduced contribution to organizational performance can be
explained. In my theorizing, I propose two main mechanisms: (1) Stars neglect less visible
but still important activities and (2) stars behave selfishly at the cost of organizational
efficiency. To test the presence and relative importance of these two mechanisms, I scru-
tinized the star’s contribution to organizational performance. To this end, I decomposed
8 Information about franchise rivalries were taken from Wikipedia and knowrivalry.com, a website thatsurveys fans about their feelings towards other teams. I treat franchise pairs as rivals that either have aWikipedia article dedicated to their rivalry or are listed among the top ten rivalries on knowrivalry.com.The list is given in Table A2 in the appendix.
Me over We 95
the net rating and estimated two models where I used Offensive rating (Model 23) and
Defensive rating (Model 24) as the dependent variables. Offensive rating (Defensive rat-
ing) measures the team’s points scored (allowed) per 100 possessions while the player is
on the court. As such, it captures how well the team is doing offensively (defensively)
when the player is on the court. The net rating is the difference between the offensive and
defensive rating. Table 6 reports the results. Models 23 and 24 parallelled Model 12, but
contained a set of control variables specific to the respective dependent variables.9 When
competing with a personal rival, stars made a smaller offensive contribution as indicated
by a significant decrease in their offensive rating (Model 23). Given that the presence of a
personal rival increased individual scoring (Hypothesis 1), a decrease in the offensive rat-
ing suggests that the stars increased their individual output at the cost of the team. This
indicates that the star’s focus on scoring decreased organizational efficiency. Competing
with a personal rival was also associated with a significant increase in the defensive rating
(Model 24), corresponding to a worse defensive performance. This suggests that the stars
neglect defensive responsibilities in order to score. Playing good defense is considered
less visible, but vital for success in the NBA. It seems that both proposed mechanisms
are at play. Moreover, the statistical significance and the effect sizes were very similar in
Model 23 and 24 indicating that both channels account for roughly half of the reduced
organizational contribution.
4.3 Robustness Checks
To assess the robustness of my results, I conducted two robustness checks, where I em-
ployed different thresholds for the rivalry indicator and an alternative measure for the
star’s contribution to organizational performance. Table 7 displays the results of the
robustness checks.
Thresholds for Rivalry Definition
First, I imposed different thresholds for the rivalry indicator to ensure that results were
not driven by the choice of a specific cut-off point. In the original operationalization,
rivals were required to have played against each other at least four times. I conducted
estimations where no threshold (Models 25 and 26) and a higher threshold of ten games
were imposed (Models 27 and 28). Without a threshold, the stars are treated as rivals
as soon as the play against each other in the NBA for the first time. I use this oper-
ationalization to safeguard against the possibility that the players have developed their
rivalry before arriving in the NBA, for example in highschool or college. Not imposing
a threshold increased the number of player-game observations in which a star competes
with a rival to 1,858 (7.3%). The higher threshold of ten games is a more conservative
9 In particular, I added the team’s offensive rating and the opponent’s defensive rating for Model 23and vice versa for Model 24.
96 Chapter 3
Table 7: Robustness Checks – Results from Fixed Effects Estimations
Model 25 Model 26 Model 27 Model 28 Model 29(Points) (Net rating) (Points) (Net rating) (Plus-minus)
Rival present -0.87*(0.33)
Rival present 0.71* -1.73**(No threshold) (0.29) (0.50)Rival present 1.12** -1.77**(10 games threshold) (0.37) (0.57)Control variables Yes Yes Yes Yes YesConstant Yes Yes Yes Yes YesSeason dummies Yes Yes Yes Yes YesIndividual fixed effects Yes Yes Yes Yes Yes
R2 0.1033 0.1173 0.1037 0.1172 0.1162Player-game obs. 25,293 25,293 25,293 25,293 25,293
Notes. Coefficients from OLS estimations. Dependent variables are in column headers. Robust standarderrors clustered at the star level are in parentheses. Significance levels: + p<0.10; * p<0.05; ** p<0.01;*** p<0.001.
approach that ensures that the stars have competed against each other over multiple
years. Using a more strict threshold reduced the number of “treated” observations to
1,358 (5.4%). The results in Table 7 confirm the conclusions from the original Models 6
and 12. While the negative effect on the net rating was slightly higher with alternative
thresholds, the results on individual output reveal an interesting dynamic: The higher
the imposed threshold, the more pronounced was the positive impact of rival presence
on the star’s points (effect sizes increased from 0.71 without a threshold to 1.12 with a
ten-games threshold). Over and above showing the robustness of the results, this enriches
my findings because it shows that rivalries evolve over time. A long competitive history
seems to intensify the urge to outperform the personal rival.10
Alternative Measure for Contribution to Organizational Performance
Second, I employed an alternative statistic to measure the star’s contribution to organi-
zational performance. One potential concern with the net rating is that it is adjusted to
100 possessions. While the adjustment makes the net rating more comparable across stars
with differences in playing time and game paces, it might be informative to have a look
at the “raw” plus-minus statistic that is not adjusted and simply records the team’s point
differential while a player is on the court. I estimated a model where I used the plus-minus
statistic as the dependent variable and replaced Team net rating and Opponent net rating
with corresponding variables that utilize team-level plus-minus statistics. Table 7 shows
10 A natural way to investigate this further would be to interact the rivalry indicator with the numberof games the rivals have played against each other. In my setting, this corresponds to restricting thesample to rival games because there is no equivalent to rivalry experience in non-rival games. Such aninteraction analysis did not yield statistically significant results.
Me over We 97
that the findings were robust to using the alternative measure (Model 29).
5 Discussion
Following recent literature that has argued that relationships matter for competitive be-
havior and outcomes (e.g., Grohsjean et al., 2016; Kilduff et al., 2010; Piezunka et al.,
2018), this paper concentrates on the effects of personal rivalry in collaborative and in-
terdependent settings. Specifically, I analyze how the presence of an external personal
rival affects star employees’ individual output and their contribution to organizational
performance. Drawing on theories of social comparison and self-maintenance, I propose
that the star’s desire to outperform the personal rival has an adverse effect: Stars in-
crease their individual output, but they contribute less to organizational performance. In
a dataset of NBA stars, I found support for the hypotheses. Stars do score more points
when facing a personal rival. At the same time, they contribute less to organizational
performance as indicated by lower net ratings. These findings cannot be explained by
opposing star talent, financial and non-pecuniary incentives or organizational rivalries.
Instead, additional analyses provide support for my theorizing that rival stars focus on
individual output and thereby neglect important, but less visible activities and hurt or-
ganizational efficiency. This has important implications for the literatures on individual
and organizational performance, stars, and rivalry.
Implications for Research on Individual and Organizational Performance
Following human capital theory, the classical starting point to understand, explain and
predict individual performance of employees are their skills (Becker, 1962). Since the in-
troduction of social capital theory (Coleman, 1988), multiple studies have acknowledged
that employees bond with their colleagues and that the resulting relationships are conse-
quential for individual performance (e.g., Groysberg et al., 2008; Huckman and Pisano,
2006) and organizational outcomes (e.g., Nahapiet and Ghoshal, 1998; Oldroyd and Mor-
ris, 2012; Reagans and Zuckerman, 2001). Less appreciated is the fact that individuals
also form relationships with their competitors. Only recently, studies have begun to link
relationships among competitors to competitive behavior and outcomes (e.g., Grohsjean
et al., 2016; Kilduff, 2014; Piezunka et al., 2018). This paper extends these efforts by
considering rivalrous relationships and demonstrating that they impact individual be-
havior and performance. While research has commonly investigated relationships among
colleagues, this paper shows that external relationships can be just as consequential. To
fully understand the personal motives of employees, it is not enough to just look inside
the firm.
Earlier research has studied the effects of competitive relationships in individual compe-
titions, such as golf (Flynn and Amanatullah, 2012), running (Kilduff, 2014), and racing
98 Chapter 3
(Piezunka et al., 2018). In contrast, I analyze the effect of personal rivalry in an or-
ganizational setting that is characterized by interdependence and collaboration. In this
context, I explicitly link personal motives of stars not only to their individual output,
but also to their contribution to organizational performance. In line with the recent call
to pay more attention to the micro-foundations of organizational performance (Foss and
Pedersen, 2016), this paper enhances organizational research by demonstrating that the
personal motives of employees directly affect the performance of their organizations. As
such, it complements human capital theory and provides new avenues for understanding
and assessing individual and organizational performance. It is not just the individual skills
that determine performance, but also the competitive environment under which they are
put to use.
Beyond that, this paper demonstrates that personal rivalry is an important factor in
determining what employees focus on. Grohsjean et al. (2016) have shown that personal
relationships among competitors influence how competitive individuals behave. I blend
this insight with the finding that employees focus on specific activities that are in line
with their personal motives. Personal motives thus determine what individuals are willing
to do and how they prioritize different tasks. This is particularly delicate for modern
organizations, where employees usually have considerable leeway in allocating their time.
Implications for Star Research
The observation that a few high-performing employees add disproportionate value to or-
ganizations has stimulated a considerable body of research on stars (for an overview, see
Call et al., 2015). Although not completely univocal, this research has repeatedly shown
that organizations benefit from stars (e.g., Agrawal et al., 2017; Kehoe and Tzabbar, 2015;
Zucker et al., 1998). My paper generally supports this notion and refines it by providing
an important boundary condition for the positive impact of stars. When stars compete
with a personal rival, they contribute distinctly less to organizational performance. This
study thus enhances our understanding of star behavior by identifying personal rivalry as
a strong, previously unexplored driver. It is interesting that competitiveness seems like a
double-edged sword in this context. On the one hand, it is usually assumed that stars are
not only more talented, but also more competitive and motivated than their peers (Duck-
worth et al., 2007). On the other hand, it is exactly the drive and competitiveness that
backfire when competing with a personal rival. The stars’ determination to outperform
others can thus hurt organizations in certain situations.
This finding resonates well with a more pessimistic view of stars. Earlier research
has shown that organizations can have difficulties integrating stars and utilizing their full
potential (e.g., Groysberg et al., 2008, 2011; Swaab et al., 2014). One common explanation
for these problems is the selfish and uncooperative behavior of the stars (e.g., Groysberg
et al., 2011; Swaab et al., 2014). My core finding that stars focus on highly visible and
Me over We 99
self-relevant individual output when competing with a personal rival supports this notion.
I also provide evidence that stars hurt organizational efficiency and neglect less visible
activities in their pursuit of individual output. Interpreted with due care, this paper
thus underpins what others have speculated, namely that stars follow their own interests
at the expense of others. A related issue is that more star talent is not always better
(Groysberg et al., 2011), also known as the too-much-talent effect (Swaab et al., 2014).
This finding is usually attributed to a lack of cooperation among prominent employees
(Groysberg et al., 2011; Swaab et al., 2014). My paper offers a profound explanation
for this effect: Personal rivalry could induce the stars to focus on individual output and
neglect collaborative activities.
Implications for Rivalry Research
Finally, I contribute to recent studies that consider rivalry as a relational construct which
is explicitly distinct from competition. This research has established rivalry as a powerful
psychological phenomenon that can have different behavioral implications. Rivalry can
increase motivation and performance (Kilduff, 2014; Kilduff et al., 2010), but can also
have consequences that are not always desirable, such as increased risk-taking (To et al.,
2018). Kilduff et al. (2016) have even demonstrated that rivalry increases unethical be-
havior. Extending our understanding of the “dark side” of rivalry, this paper reveals that
personal rivalry crowds out organizational interests. Rivalry can hurt organizations not
only because employees bend the law or ethical guidelines, but also because it motivates
them to prioritize personal motives. This paper thus calls attention to an undesirable
behavioral consequence of rivalry that has not been explored before.
I find that the adverse effect of competing with a rival increases with the rival’s points.
Evidently, star rivals compare each other based on individual output and “overbid” each
other. In this regard, my results resemble earlier research on auction fever and overbidding
(Ku et al., 2005; Malhotra, 2010). At the same time, they enrich the literature on rivalry
because they show that individuals react offensively to the presence of a personal rival.
Former research on knowledge sharing and information use has shown that rivals can
trigger a defensive pattern of response, where employees avoid the knowledge of a rival
(Menon et al., 2006). In contrast, this study shows that stars actively respond to their
rivals – which can be just as detrimental to organizational interests.
Lastly, I contribute to the literature on rivalry by providing first evidence on the dy-
namics of rivalries. Although not the focus of the paper, applying different thresholds to
the rival definition highlights that personal rivalries evolve over time. My results indicate
that longer rivalries increase the stars’ desire to trump their personal rivals. Similarly, this
paper suggests that personal and organizational rivalries are correlated and intertwined,
which provides first evidence for potential carry-over effects between the different levels of
rivalry. Investigating these interdependencies further seems a promising route for future
100 Chapter 3
research.
Scope Conditions, Generalizability and Limitations
While this paper provides important insights on individual and organizational perfor-
mance, star employees and personal rivalry, it certainly has limitations. To start with,
there are three characteristics of my conceptual framework that define important scope
conditions for my findings: (1) Employees must work interdependently and collaboratively
with their colleagues, (2) they must engage in competitive situations in which they can
observe the individual output of employees from competing organizations and (3) they
must encounter these situations often enough so that personal rivalry can develop.
While these scope conditions seem specific at first, there are multiple environments
where they are met and my findings should apply. Examples include teams in man-
agement consulting or law firms, research groups and sales teams. Employees in these
professions work interdependently and collaboratively, experience head-to-head compe-
tition with observable individual output and regularly meet the same competitors with
whom they develop relationships. Think of lawyers in law firms. Within their company,
they work interdependently and collaboratively on legal cases. Outside the company, they
regularly compete with lawyers from other offices; be it in legal negotiations, in court or
when pitching for potential clients. In some aspects, these situations resemble NBA games
as the lawyers receive immediate feedback, react to an opposing party and are required
to make fast decisions. And just like NBA teams practice, teams of lawyers prepare for
their meetings. Due to their high level of specialization and the limited number of com-
peting firms, the lawyers repeatedly compete with the same firms and personnel. This is
essential because it lays the ground for personal rivalry. A similar reasoning applies to
management consultants who regularly face the same professionals when acquiring clients,
researchers who repeatedly compete with the same scholars for funding or salespeople who
constantly fight for customers with the same agents. From an organizational standpoint,
the NBA has a franchise structure with the teams as franchises. As such, it is akin to
large enterprises with multiple offices and business units. Thus, the findings of this study
might generalize to between-unit or between-office rivalries in such companies.
Central characteristics of the conceptual framework and empirical setting are thus ap-
plicable to a variety of modern industries, but questions about the generalizability of my
findings remain. Two aspects seem especially noteworthy. First, the inferences are drawn
from a small group of star athletes. At the level of the empirical analysis, my dataset pro-
vides enough information to produce statistically significant conclusions. Still, one has to
acknowledge that the underlying sample of stars and rivalries is small. The limiting factor
in this regard is information on rivalries among NBA players, which is only available for
the most prominent players. Having said that, there is no obvious reason why the group
of stars studied here should not be representative for the broader population of NBA stars
Me over We 101
and star athletes in general. Infamous rivalries between star CEOs (Bill Gates vs. Steve
Jobs), star inventors (Thomas Edinson vs. Nikola Tesla) or star scientists (Isaac Newton
vs. Gottfried Leibniz) suggest that star rivalries also loom large outside the sports world.
More open is whether the results generalize to non-star employees. While cornerstones of
my theorizing like social comparisons or self-maintenance needs are universally valid, some
aspects might be specific to star employees. For example, the distinctive competitiveness
of stars might be especially conducive to rivalry. It is thus up to future research to verify
my results in samples of non-star employees. Second, like in many studies utilizing data
from professional sports, my sample is composed exclusively of male employees. This ob-
viously limits generalizability as it is conceivable that women perceive personal rivalries
differently and therefore also react differently to them. Moreover, same-sex environments
may generate special types of personal rivalries and promote rivalries in general.
Besides issues of generalizability, this study is of course also subject to other limitations.
Two issues deserve special attention. First, the identification strategy used in this paper
does not enable causal inference about the effect of personal rivalry on individual output
and organizational contributions. Shedding light on causal relationships would require
some exogenous variation in the presence of a personal rival. Since this is not the case
in my empirical setting, this paper makes no claim to causality. Second, I only indirectly
test the channels through which the star’s reduced organizational contribution can be
explained. In particular, I am not able to pin down the exact activities that stars neglect
when they focus on individual output. My theorizing suggests the nature of these activities
and the empirics provide support for the considerations, which is a valuable first step. Still,
more direct empirical tests would be desirable to define the underlying mechanism more
precisely. Acknowledging these limitations, I believe that this paper makes an important
contribution to our understanding of personal rivalries and how they affect individuals
and organizations.
102 Chapter 3
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Appendix
Me over We 107
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108 Chapter 3
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Me over We 109
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110 Chapter 3
Table A2: List of Franchise Rivalries
Franchise A Franchise B Listed as RivalsWikipedia Knowrivalry
Boston Celtics Detroit Pistons YesBoston Celtics Los Angeles Lakers Yes YesBoston Celtics New York Knicks YesBoston Celtics Philadelphia 76ers YesBrooklyn Nets New York Knicks Yes YesBrooklyn Nets Toronto Raptors YesChicago Bulls Cleveland Cavaliers YesChicago Bulls Detroit Pistons Yes YesChicago Bulls Miami Heat YesChicago Bulls Milwaukee Bucks YesChicago Bulls New York Knicks YesCleveland Cavaliers Golden State Warriors Yes YesDallas Mavericks Houston Rockets Yes YesDallas Mavericks San Antonio Spurs YesDetroit Pistons Los Angeles Lakers YesHouston Rockets San Antonio Spurs YesHouston Rockets Utah Jazz YesIndiana Pacers New York Knicks YesLos Angeles Lakers Los Angeles Clippers YesLos Angeles Lakers Sacramento Kings YesLos Angeles Lakers San Antonio Spurs YesMiami Heat New York Knicks YesPhoenix Suns San Antonio Spurs Yes Yes
Notes. The list displays 23 franchise rivalries in the NBA that ei-ther have an own wikipedia-article (https://en.wikipedia.org/wiki/List of National Basketball Association rivalries) or are listed among thetop ten rivalries on knowrivalry.com (https://knowrivalry.com/category/nba).The Brooklyn Nets are the former New Jersey Nets, the franchise relocated in2012. Franchises are listed alphabetically.
Concluding Remarks
Investigating the role of stars in collaborative organizations, this thesis contributes to
recent efforts in organizational research to better understand the microfoundations of
organizational performance. Anchoring higher-level outcomes – like the performance of
organizations – on the individual level rests on the fundamental insight that these out-
comes emerge because individuals act and interact. Identifying micro-level mechanisms
and discriminating between alternative explanations is also crucial if one hopes to inform
managerial decision-making. Embracing the explanatory power of the micro level, this
thesis focuses on stars’ actions, their interactions with colleagues and competitors, and the
dynamics that drive these actions and interactions. The NBA is an ideal research setting
for this purpose as it provides data on the individual and organizational level, which is es-
sential for empirical microfoundational work. In this sense, microeconometric techniques
are a natural ally for the microfoundational approach. Analyzing individual-level data
from an pronounced organizational perspective, each essay in this thesis illuminated a
different facet of stardom within organizations: the first chapter adressed how stars affect
team performance, the second chapter focused on the peer effects of stars and the third
chapter examined stars’ personal motives and how they affect behavior. The microfoun-
dational approach might be most notable in the first chapter, but it is inherent in all three
essays as the studied individual-level phenomena are continuously linked to the interests
of organizations. The essays also comply with the microfoundations agenda because they
try to pin down the mechanisms underlying their core findings. Taken together, the re-
sults of the three essays suggest that the effect of stars in collaborative organizations is
not unidirectional, but ambiguous.
On the one hand, stars are vital for the success of organizations because they possess
unique skills that are hard to replace. The first chapter shows that star absence distinctly
reduces team performance and that imperfect skill substitution is the key mechanism
underlying this effect. Neither the loss of complementarities between stars and their col-
leagues, nor the demotivation and reduced effort of the remaining team members can
explain the decrease in team performance. Instead, stars possess unique skills that the
other team members cannot replace. Consequently, teamwork does not dissolve the orga-
nization’s dependency on star talent. As such, the findings of the first chapter indicate
that the individual excellence of stars is crucial for the performance of teams and organi-
zations.
On the other hand, stars limit performance opportunities for their colleagues and con-
strain their professional development. The second chapter demonstrates that non-star
colleagues benefit from temporary star absence, both immediately and in the long term.
112 Concluding Remarks
The absence of the star provides them with increased opportunities to perform, which
they convert into higher productivity while the star is absent. After long star absences,
non-stars retain some of the performance opportunities, enabling them to sustain an in-
creased level of output even after the star has come back. Performance opportunities are
thus a key mechanism behind non-star productivity. The presence of influential stars,
who dominate performance opportunities, thus impedes the professional development of
their colleagues and is therefore detrimental to the long-term interests of organizations.
Supporting this, I find that junior employees particularly benefit from star absence, es-
pecially those in the middle of the talent distribution. Apparently, this group tends to
be especially marginalized alongside dominant stars. The findings of the second chap-
ter therefore highlight a potential drawback of stars, namely that they overshadow their
colleagues.
Finally, the organizational impact of stars is contigent upon their personal motives. The
third chapter establishes that competing with a personal rival has an adverse effect on star
performance: stars increase their individual output but contribute less to organizational
performance. Alternate explanations such as opposing star talent, financial and non-
pecuniary incentives or organizational rivalries cannot explain the finding. The mechanism
underlying the adverse effect of rival competition is that stars focus on highly visible
and self-relevant individual output in their attempts to outperform their personal rival.
Doing so, they neglect other activities that are important for collaborative organizations
and they hurt organizational efficiency. In this way, the positive organizational impact
of stars is distinctly reduced when they compete with a personal rival. Results from the
third chapter thus suggest that personal motives of stars directly affect organizational
interests.
Taken together, the three essays of this thesis paint a comprehensive and nuanced pic-
ture of the role of stars in collaborative organizations. This thesis investigates stardom
within organizations at different levels of analysis – at the organizational level, at the
individual level and at an inner, motivational level. The findings reveal differential star
effects, which are partly contradictory but have important consequences for organizations.
As such, it is not easy to assess the value of stars for collaborative organizations conclu-
sively. My findings suggest that stars do bring exceptional value to organizations. At the
same time, they also indicate trade-offs between utilizing the stars’ outstanding individual
talent to maximize short-term success, and hedging their influence to ensure long-term
development. Since the organizational impact of stars is ambiguous and depends on their
personal motives, organizations should monitor stars’ interactions with their colleagues
and competitors. Stars need autonomy to put their unique skills to good use, but they
also need oversight to ensure that they do not overshadow non-star colleagues or prioritize
their personal agenda. Illuminating such micro-level contingencies, this thesis hopefully
helps organizations to get the most out of their stars.