game theory explains perplexing evolutionary stable strategy erin n. bodine math 188: social choice...
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Game Theory Explains Perplexing Evolutionary
Stable Strategy
Erin N. Bodine
Math 188: Social Choice & Decision Making 22 – April - 2003
Side Blotch Lizards (Uta stanburiana)
Observations of Morph Frequency and Fitness
Male Type Years of Highest Frequency
blue/less aggressive 1991, 1995
orange/aggressive 1992
yellow/sneaker 1993-94
YearFitness
Orange Blue Yellow
1991 4.73 1.00 1.61
1992 1.28 1.00 1.45
1994 0.90 1.26 1.00
Morph FrequencySinervo and Lively find a cycle in which
morph has the highest frequency.
Morph FitnessSinervo and Lively find that the cycle of
morph frequency relates to the fitness of each male type.
Relative Morph Fitness
Rock-Paper-Scissors
R S P
r 0 1 -1
s -1 0 1
p 1 -1 0
Game Matrix for Rock-Paper-Scissors
Payoffs shown are for player I
The model of rock-paper-scissors typically used by game theorists.
1 = win
0 = draw
-1 = loss
for player I
Let nature randomly pick two side-blotched lizards to inhabit the same territory for mating. Depending on what male morph they are, the lizard with the greater fitness in that territory will play out like a game of rock-paper-scissors.