a positive theory of agricultural protection
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A Positive Theory of Agricultural Protection
ARTICLE in AMERICAN JOURNAL OF AGRICULTURAL ECONOMICS · FEBRUARY 1991
Impact Factor: 1.33 · DOI: 10.2307/1243915 · Source: RePEc
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A Positive Theory of Agricultural ProtectionAuthor(s): Johan F. M. SwinnenSource: American Journal of Agricultural Economics, Vol. 76, No. 1 (Feb., 1994), pp. 1-14Published by: Blackwell Publishing on behalf of the Agricultural & Applied Economics AssociationStable URL: http://www.jstor.org/stable/1243915
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Articles
A ositive
T h e o r y
o
gricultural
rotection
Johan
F. M.
Swinnen
The
present paper
analyses
the
political economy
of
agricultural
protection
in a
general
equilibrium
framework. Rational
politicians
offer
protectionist
policies
in return
for
political
support
from their
constituency.
Individuals
in
the
economy
have
different
factor endowments.
Politicians
exploit
these differences in
establishing
redistributive
policies
when
maximizing
political support. Changes
in economic
variables-such
as
the
urban-rural ncome
gap,
capital intensity,
the share of
agriculture
in total
output
and
total
employment,
and the share of food in consumer
expenditures-affect
the
political
equilibrium
policy.
The
analysis
concludes that the observed correlation
between
economic development and agriculturalprotection is caused by a multiplicity of factors.
Key
words:
agricultural protection,
economic
development,
political
economy.
It
is well known that
agriculture
s
generally
taxed
in
developing
countries
and
mostly
subsidized
in industrial countries
(Bale
and
Lutz;
Krueger,
Schiff,
and
Valdes).
Protection
generally
shifts
from the
industrial
sector to
agriculture
during
the
process
of
economic
development:
There
is
a
striking
similarity
between
the
pro-urban pol-
icies of
the
European
nations
before
the
indus-
trial revolution
in Britain and
those
of
the de-
veloping
nations
that are at
a somewhat
similar
level
of
economic
development today
(Olson,
1985,
p.
55).
In
addition,
export
sectors are taxed
heavily
in
LDCs,
while food
crops
are
taxed much
less
severely
and,
on
average,
obtain a
slight
posi-
tive
subsidy (Krueger,
Schiff,
and
Valdes).
Theoretical
studies
attempting
o
explain
these
and
other
facts have
mostly
stressed the
impli-
cations
of
organization
costs
on the
political
de-
cision-making process.
It is
argued that eco-
nomic
development
reduces farmers'
organization
costs,
leading
to
government policies
that
are
increasingly
beneficial
for
agriculture
(e.g.
01-
son
1985,
1990).
Other
studies
on the
deter-
minants
of
agricultural policies
have
stressed
factors
affecting
the
distributional effects of
ag-
ricultural
protection
and have often
primarily
fo-
cused on
empirical
results. For
example,
Gard-
ner
(1987a)
finds a
negative
relationship
between
protection
and the
self-sufficiency
ratio of
ag-
ricultural
products.
His
analysis
also
indicates
for
the
United
States that low
supply
and
de-
mand elasticities are
associated with
more
in-
tervention. Other
papers
have
suggested
the
im-
portance
of
production
actor
intensities,
the
share
of
food
in
expenditures,
the
share of
agriculture
in
GNP and
employment,
the
ratio of
market
surplus
to total
expenditures,
and
responsive-
ness
of
industrial
profits
to food
prices
in
the
determinationof
agriculturalpolicies
(Anderson
and
Hayami,
Honma
and
Hayami,
Balisacan
and
Roumasset,
Anderson
and
Tyers,
de
Gorter
and
Tsur, Roe 1991b).
A
factor
receiving
little
emphasis
in
the
lit-
erature is the
negative
correlation
between
ag-
ricultural
protection
and
agricultural
ncome rel-
ative to other
income.
Tracy
describes
how,
ever
since
1880,
West
European
governments
have
implemented
measures
to
protect
farmers'
in-
comes
as
reactions to
'agricultural
crises.'
Sim-
ilarly
in
the
United
States,
agricultural
programs
were
established in
the first
part
of
the
century
to
solve
the
'farm
problem.'
Bullock
shows
how
U.S.
transfers to
agriculture
are
countercyclical:
farmersget more governmentsupportwhen they
face
harder times. A
more
general
overview
of
studies
indicating
a
negative
relationship
be-
Jo
Swinnen
is
a
research
economist
at
the
Leuven
Institute for
Cen-
tral and
East
European
Studies
in
Belgium.
The
paper
is
based on
a
chapter
of
his
unpublished
PhD
dissertation at
Cornell
University.
The
author
is
greatly
indebted to
Harry
de
Gorter
for
directing
his
attention
to
these
issues and for
numerous
discussions and
com-
ments. Further
comments
by Terry
Roe,
Tim
Mount,
Steven
Kyle,
Eric
Fisher,
Isabel
Lindemans,
the
reviewers,
and
participants
in
seminars
at
Cornell,
Berkeley,
and
Leuven
greatly
improved
the
paper.
The
author
is
grateful
for
financial
support
by
the
Depart-
ment
of
Agricultural
Economics
at Cornell
University.
Review
coordinated
by
Steven
Buccola.
Amer.
J.
Agr.
Econ.
76
(February
1994):
1-14
Copyright
1994 American
Agricultural
Economics
Association
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2
February
1994
Amer.
J.
Agr.
Econ.
tween relative
income and
government
transfers
is
in
Baldwin
(1989).
While Gardner's
(1987a)
and
Honma
and
Hayami's empirical
work
indicate a
negative
correlationbetween farmers'
relative
income
and
agriculturalprotection, none emphasizes this re-
lationship
as a
major
factor.
Bullock
(p.
617)
claims that
current
political economy
models
fail
to
explain
countercyclicity
because
they
fo-
cus on
political agents'
constraints
to
the
neglect
of
political agents'
objectives.
De
Gorter
and
Tsur demonstrate
the
negative relationship
with
several
empirical
examples, including
data from
the World Bank
Political
Economy
Project
(Krueger,
Schiff,
and
Valdes).
They
claim
that
pressure
group
models
focusing
on
organization
costs cannot
explain
the correlation.
De
Gorter
andTsur arethe first to
explicitly
focus on farm-
ers'
relative
incomes
as a variable
explaining
agricultural
protection
in
a
political
economy
framework.
They specify
a
model
in
which
ra-
tional and
informed
politicians
and voters
inter-
act
and
in which individual
incomes
relative to
incomes
in
the rest
of
society
affect
voter
activ-
ities and
hence
policies.
I
attempt
here to
contribute
to
the
explanation
of
agricultural
protection
in two
ways.
First,
I
generalize
the
approach
of
de Gorter and Tsur
and
show that
the
observed
negative
correlation
between
agricultural
protection
and farmer in-
come can
be
explained
by assuming
(1)
that ra-
tional
politicians
maximize
political support
and
(2)
that
political
support,
provided by
informed
citizens,
is affected
by policy-induced
welfare
changes.
Second,
by
integrating
the
political
model
with
a
general
equilibrium
specification
of the
economy,
I
analyze
in
more
detail how
economic
factors
and
political
decision-mak-
ing
influence
one
another.
I
show that structural
changes
typically
coinciding
with economic de-
velopment
induce an
increase
in
agricultural
protection.
I conclude that the
empirically
ob-
served
correlation
between
agricultural protec-
tion and
economic
development
is caused
by
a
multiplicity
of factors.
My
analysis
of
the
impact
of structural
hanges
on the distributional
effects
of
agricultural
pro-
tection
is
based
on
a
specific-factor
model. It
assumes
two
inputs
for each
industry.
One of
the
inputs
is
perfectly
mobile,
while the other is
specific
and
fixed. This
model is
appropriate
ue
to the inherent
short-run
nature of the
political
process. Magee,
Brock,
and
Young provide
em-
pirical
support
for it. The model is used in ana-
lyzing
the
political
economy
of trade and
fi-
nance
policies
(Findlay
and
Wellisz;
Mayer;
Staiger
and
Tabellini;
Roe
1991a).
Individuals
are assumed to
differ from
one
another
by
their
ownership
of
production
factors.
The
political
model
is
in
the
traditionof
Downs
and
Stigler
and
builds
on the
approach
of
de
Gorter and Tsur. Rational politicians and citi-
zens interact
n
a
political
market.
Politicians
offer
a
policy
to
their
constituency
in
return
for
po-
litical
support.
Citizens increase their
political
support
if
they
are
helped by
the
policy
and re-
duce
support
if
they
are hurt. The
change
in
po-
litical
support
is
assumed
proportional,
so
that
politicians apply
a
redistributive
policy
up
to the
point
where the total increase
in
support
from
those
benefiting
is offset
by
the
aggregate
loss
in
support
from those taxed. The first
implica-
tion
is
that
deadweight
costs,
which
reduce the
benefits and increase the losses from redistri-
bution,
will reduce
the
level of the
transfer
pol-
icy.
Second,
if
political support
is
a
concave
function
of the
policy-induced
welfare
change,
politicians
will increase
redistributive
transfers
to farmers as
agricultural
incomes fall
relative
to the rest
of
the
economy.
Third,
any
transfer
can occur as
long
as
political gains
to
the
po-
litical
entrepreneur
are
larger
than
the
political
losses.
Therefore,
either a
minority
or
a
major-
ity
of the
population
can benefit
from
redistri-
butive
policies.
However,
a decline
in
rural
population
will increase transfersto farmers. Fi-
nally,
structural
changes
in the
economy
affect
the benefits
and losses
of
agricultural protec-
tion. Structural
changes
therefore
change
the
political
reactions
to redistributive
policies
and
hence the
equilibrium policy.
For
example,
in-
creasing
capital
intensity
in
and
outside
agri-
culture,
decreasing output
elasticities,
or
de-
creasing
shares
of
agriculture
n
employment
and
total
output
will increase
agricultural
subsidi-
zation.
The
Model
Consider
an
economy
with two sectors:
agri-
culture
(A)
and
manufacturing
(M).
All individ-
uals have
identical
preferences
and maximize an
indirect
utility
function
U(y'),
where
(y')
rep-
resents
individual
disposable
(net)
income
and
i
=
A,
M. Assume
first that each sector has n,
identical
individuals with
a
pre-policy
'endow-
ment' income
y'.
Politicians have
a
redistribu-
tive
policy
R at their
disposal, representing
the
total size of a potential income transfer from
industry
to
agriculture.
Therefore,
net income
y'
=
f'
+
R',
where
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Swinnen
A Positive
Theory
of
Agricultural
Protection
3
RA
= [R
-
CA(R)]/nA
RM
= -
[R
+
CM(R)]/nM
with
C'(R)
representing
the
deadweight
costs as-
sociated
with transfer
R. I assume
C'(0)
=
0,
C'(R)
> 0 for R >
0,
C'(R)
< 0 for R <
0,
and
CKR(R)
>
0,
where
C'
and
Ci,
represent
the first
and
second
order derivative
of
C'.
The
marginal
effect
of R on individual
disposable
in-
come
is
then
(2)
AyA/aR
=
[1
-
CA]/nA
y
ayM/aR
=
-[1
+
CM]/nM.
Political
decision
making
is modeled
as the
interaction
between
rational,
fully
informed
pol-
iticians
and voters. Politicians
provide
a
transfer
R to their constituency in return for political
support.
Citizens
increase
political
support
f
they
benefit
from the
policy
and
reduce
support
if
the
policy
decreases
their
welfare.
Specifically,
in-
dividual
i's
political
support
S'
is
assumed
to
be
a
strictly
concave and
increasing
function
of
the
change
in
utility
caused
by
the
policy':
v'(R)
=
U'(R)
-
U'(O).
Therefore,
(3)
S'
=
S[U'(R)
-
U'(0)]
=
S[v'(R)]
where all individuals
are assumed to
have
iden-
tical
support
functions.2
'Political
support'
here
is
comparable
to
'political pressure'
in
pressure
group
models.3
However,
there
are
two
impor-
tant differences
with
respect
to the
resulting
equilibrium.4
First,
resources invested in
the
po-
litical
process
are
ignored.
Second,
most
pres-
sure
group
models
ignore
the role
of
political
entrepreneurs
and
focus
on the
strategic
behav-
ior of
opposing
political groups.
The
resulting
political equilibrium
is
typically
a
Nash
one,
which
may
not exist or
may
not be
unique
(Roe
1991a;
Magee,
Brock,
and
Young).
In the
pres-
ent
model,
interactionbetween
active
politicians
and
the
informed
constituency
is
the
determin-
ing
force. Politicians
offer the
transfer
(level)
maximizing
their total
political support,
subject
to the
government
budget
constraint.5
The
po-
litical
calculus
leads
to the
following
equilib-
rium condition
for the
politically
optimal
in-
come
transfer
R*:
sA
uMa
+
cM)
SM U A
C A
where
S
,,
U'.,
and
Ci
refer to the first
order
derivatives
of
S, U,
and
C,
respectively.
First,
strict
concavity
of
S(')
and
U(')
assures
that
R*
=
0
is a
unique
optimum.
Second,
condition
(4)
implies
that,
at
the
politically optimal
transfer,
the
marginal
increase in
political support
from
those who benefit
from the
policy
is
equal
to
the
marginal
decrease in
political support
from
those
who lose. Redistributive policies will be estab-
lished
up
to
a
point
where
the increase
in
polit-
ical
support
from the
beneficiaries is
exactly
offset,
at
the
margin,
by
the
growing opposition
from the taxed
group.
As
a
consequence,
the
size
of
the
transfer
depends
on
factors
that
affect
either
the
marginal
utilities in
the different
groups,
costs involved in
the
transfer,
or the
distribu-
tional
effects of the
transfer
policy.
Endowment Incomes
and the
Politically
Optimal
Transfer
Consider the scenario
whereby
prepolicy
in-
comes
between
groups
are identical. This
results
in
R*
=
0. With identical
endowment
incomes
(YA
=
YB)
and R =
0,
the
marginal
utility
of
income is
identical for both
groups:
U,A
=
The
right
hand side of
(4)
will
therefore
equal
one for
R
=
0.
Also,
R
=
0
implies
that
v'
=
0 for
both
groups
and,
hence,
that the
ratio
of
marginal political
supports
equals
unity:
SA
S~
Consequently, equation
(4)
holds
for
R
=
0.
The
optimal
government policy
is to not transfer
any
income
between
groups.
This
outcome
holds
under the
extreme
assumption
of
identical
sup-
port
functions
(SA
=
,
at
R
=
0).
As
political
support
functions
differ
among
individuals,
the
result
is
mitigated.
The
optimal
subsidy
shifts
toward
individuals with
more
sensitive
political
support
(Swinnen
and
de Gorter
1992).
How-
ever,
the
latter
assumption
does
not
affect
the
following
results.
Consider an
exogenous change
in
the
relative
per capita
incomes between
groups:
i.e. now
i
I follow
Downs'
(chapter
4)
specification
that
political
support
is a
function of the
utility change
induced
by
the
policy.
Unlike
Downs, however,
I
assume that both
politicians
and
citizens
have
perfect
information and that there are
no
voting
costs.
Alternative
specifications
are
Peltzman, Hillman, and
de
Gorterand
Tsur.
More
discussion of
the
political
model and its relation to
the literature
is
in
Swinnen and de
Gorter
(1992, 1993).
2
The
impact
of
this
assumption
is
discussed where it
affects
the
results
importantly.
3
Becker
(p.
372)
quotes
Bentley (p.
259)
in
defining
political
presure:
Pressure
is
broad
enough
to
include
. .
.
from
battle
and
riot to abstract reasoning and sensitive morality.
4
Under
perfect political
competition,
political
support
max-
imization is the
only way
for a
politician
to
stay
in
government,
irrespective
of
personal
preferences
(Becker 1958).
'
See Swinnen and van der Zee
for
a
discussion of the
differences
between different
voting
models and
pressure group
models.
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4
February
1994
Amer.
J.
Agr.
Econ.
U(yA)
<
U(yM).
This will
induce
a
political
re-
action to
partially
offset the
gap
in
endowment
incomes. The
politician
can
increase
total
polit-
ical
support by
introducing
a
transfer
from
the
manufacturing
sector to
farmers
whose
relative
income has fallen. A given transferR has smaller
marginal
welfare effects on
higher
than
on
lower
income
individuals.
Politicians will
'exploit'
this
difference between
the two
sectors in
marginal
welfare
impact
to
obtain an
increase
in
total
po-
litical
support.
PROPOSITION.
Agricultural
protection
will
increase
if agricultural
income
falls
relative to
income outside
agriculture.
To
show this
formally,
consider
equilibrium
condition
(4) again.
Define
r(R)
=
SAI/S
and
k(R) = [U,'(1
+
C/)]/[UA(1
-
CA)]. It follows
that
rR
<
0
and
kg
>
0
where
rR
and
kg
represent
the first order
derivatives
of
r
and k.
With
yA
<
yM,
k(R)
<
1
for
R
=
0.
The
ratio
of
marginal
support
levels
depends
only
on
the
level of
R:
r(O)
=
1. With k
increasing
in R
and
r
decreas-
ing
in
R,
it follows
that
(4)
holds
for a
positive
transfer
evel,
i.e.
that
r(R*)
=
k(R*)
for R*
>
0.
Proposition
1 is similar to
the
'relative in-
come effect' in de Gorter
and Tsur and
to
the
'compensation
effect' in
Magee,
Brock,
and
Young,
and
in
Hillman: economic
change
fa-
voring
a factor reduces the factor's
political
ac-
tivity,
and
political
involvement
increases
when
market
returns
fall.
A
change
in
economic
cli-
mate affects
the
change
in
political
support
for
a
given
transfer
level. This
leads to
an
adjust-
ment
of
the
politically optimal
transfer
policy.
Political
self
interest induces redistribution
to
farmers
when their income is
falling.
The in-
duced
government
transfer, however,
does
not
lead
to an
egalitarian
income distribution.
From
the
previous
argument,
it follows
that with R*
>
0,
it must
be the case that
r(R*)
=
k(R*) <
1,
which
in
turn
implies
that
yA(R*)
[=
yA
+
RA(R*)]
<
yM(R*)
[=
M
+
RM(R*)].
Hence,
politicians
only partially
offset the
increase
in
the
income
gap.
This
representation
of
the
political system
is
driven
by
a
support
function that has
both
a lib-
eral
and a
conservative
tendency.6
The
liberal
feature
of the
political system
is reflected
in
the
politically
induced
government
transfer that
re-
duces income
inequality
in
the
economy.
To un-
derstand
the
conservative
tendency,
let
us com-
pare
the
politically
optimal
transfer
R*
with
the
transfer level R
that would be
optimal
for
a
na-
tional
planner
who
maximizes
a
weighted
social
welfare function. In case of an additive social
welfare
function,
where
WA
and
WM
represent
the
welfare
weights
of
individuals
in
sector
A
and
M,
respectively,
the
condition
determining
R
is:
WA
UM
(1+
CM)
(5)
=
wM
uA(
_
CA)
To see the
implications
of this
condition,
con-
sider the case where
all
individuals have
iden-
tical welfare
weights
(WA
=
WM).
The
national
plannerwill now always fully compensatea drop
in
income,
i.e.
yA(R)
=
y
B(R),
if
there
are no
transfer costs. Even with
transfer
costs,
it
still
holds
that
(R)
>
0 for
Y
<
Y
B.
So,
the
national
planner
will distort the
economy
if
a
first-best
instrument s not available.
Comparing
(5)
with
(4)
shows that
the
national
planner
and the
sup-
port-maximizing
politician
will
choose the
same
optimal
transfer level
(R*
=
R)
only
in
the
case
where
the
ratio
of
the welfare
weights
W'
is
identical
to
the ratio
of
marginal support
levels
S't.
One can
depict
S'•
as the
'political
weight'
of individual i in the politician's objective func-
tion. An
important
difference between
the
po-
litical
weight
and
the welfare
weight
is
that,
while
W'
is
fixed,
the
political weights
are
endoge-
nous. Recall that at
R
=
0,
Sa
=
Smso
that
the
political
weights
are
equal.
With
Sa
decreasing
and
S'increasing
in
R,
the
political
weight
of
the taxed
person
increases while the
weight
of
the subsidized
person
decreases with an
increase
in
the transfer.
Therefore,
independent
of
the
transfer's
distortionary
ffects,
it follows
that the
politician's
optimal
transfer
will be less
than
that
of the nationalplanner:R* < f
<
YA
<
YB.
This
results
reflects the conservative
tendency
of the
political
system.
Deadweight
Costs
and Redistribution
Deadweight
costs reduce the level of the
equi-
librium transfer.
The intuition is
straightfor-
ward. Let
R*
represent
the
politically optimal
transfer
without
deadweight
costs.
For
the
ben-
eficiaries of
R*,
positive
deadweight
costs re-
duce the net transfer. For those who lose from
the
policy,
deadweight
costs increase the
per
capita
tax for a
given
R*.
The decrease in
the
6
Liberal
refers to the American sense
of
the word: i.e.
egal-
itarian, while conservative refers to Corden's (1974, p. 107)
conservative
social welfare
function in which
any significant
ab-
solute
reductions in
real incomes
of
any
significant
section of
the
community
should
be avoided.
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Swinnen A Positive
Theory of
Agricultural
Protection
5
net
transfer
reduces
the
increase in
political sup-
port
which the beneficiaries
of
R*
provide.
On'
the
other
hand,
the
increase in
per capita
tax
in-
creases
the losers' reductionin
political
support.
It
will therefore
no
longer
be
optimal
for
the
politician
to
implement
R*. Both effects will in-
duce
a reduction in the
equilibrium
transfer.
Therefore:
PROPOSITION
2.
An
increase
in
marginal
deadweight
costs reduces
the
equilibrium
trans-
fer.
An
exogenous
increase
in
marginal
deadweight
costs will increase either
Cm
or
CA
(or
both)
in
optimality
condition
(5).
This
implies
a
reduc-
tion in
the
equilibrium
transfer
R*.7
Number of Farmers
and the
Politically
Optimal
Transfer
Equation
(4)
determines
the
equilibrium
transfer
R*
as an
implicit
function of
the
number
of in-
dividuals in
each
sector.
I
can
therefore for-
mally
derive the
impact
of
group
sizes on
R*.
The first
result is
that,
only
if
R*
=
0 for
a
given
employment
distribution,
a
change
in
this
dis-
tribution
will not
affect the
condition
that
the
transfer is zero. In
any
other
situation, a change
in
employment
distribution
affects
the
optimal
transfer.
Per-capita
transfers
increase with
a
de-
crease in the number of
individuals in
a
sector.
Assume for
the discussion
that
farmers
are
sub-
sidized,
i.e.
R*
>
0. As
the
number of
farmers
decreases
relative to
the
number of
people
in
in-
dustry,
farmers
become less
important
in
terms
of
votes.
However,
it
becomes
less
expensive
to
subsidize
them
as there
are
relatively
fewer
farmers. It is
also
(politically)
easier
for
the
government
to
collect the
necessary
tax
to
sub-
sidize
agriculture
because
the per-capitatax de-
clines
as there
are more
people
in
industry.
On
the other
hand,
the
manufacturing
sector
rep-
resents
relatively
more
voters
now.
The
com-
bined
impact
is
summarized in
the
following
proposition.
PROPOSITION
3. An
increase in
industrial
em-
ployment and/or
a
decrease
in
agricultural
em-
ployment
will
increase
agricultural
protection
(R*
>
0).
To show
this,
define
RA*
=
[R* -
CA(R*)]/
n,
and
RM*
=
-[R*
+
CM(R*)]/nM
with R*
as
determined in
(4).
For
the sake of
simplicity,
assume
deadweight
costs are zero.
The
impact
of an increase
in the numberof
farmers,
holding
the size of
group
M constant, is determined
by
(6)A*
RA*(ZM
(6)
OnA
na
ZA
ZM
where
ZA
=
-[Sa UA,
+
S
-,(U)2]nA
>
0
and
ZM
-[SYUM,
+
SW(U; )2]/nM
> 0. The term
be-
tween brackets
in
(6)
is therefore
positive
and
less than
one.
Consequently,
ORA*/OnA
<
0
for
R* > 0. It can also
be shown that the
per-capita
tax on industrialists decreases
(oRM*/OnA)
for
R* > 0.
Similarly,
the effect
of a
change
in
the
size of industrialemployment on the per capita
transfer to farmers
oRA/OnM
is
positive
for
R*
> 0.
Olson has
argued
that
a
decline
in the
number
of farmers has
improved
farmers'
ability
to
or-
ganize politically
and hence their success
in
ob-
taining protection.
However,
Proposition
3
sug-
gests
that the increase
in
agriculturalprotection
as the share of farmers
in the
working
popula-
tion
decreases
is,
at least to some
extent,
be-
cause the decline
in their
political importance
(number
of
votes)
is more than
offset
by
the
change
in the distributionalimpact. It becomes
politically
easier
to transfer
income to
them
as
it
requires
a lower
per-capita
tax for
a
given per-
capita
subsidy
to
farmers.
Economic
Development
and
Agricultural
Protection
Typically, agriculturalprotection
increases
as
an
economy
develops.
A
number
of
structural
changes generally
take
place
during
the
process
of economic
development:
or
example,
the share
of
agriculture
n
employment
and
in
total
output
becomes less
important,
the
share of
food in
to-
tal
consumption
expenditures
declines,
and
ag-
ricultural
production
becomes
more
capital
in-
tensive. Here I
attempt
to
explain
the
correlation
between
agricultural
protection
and
economic
development
by
showing
that each of
these
changes
affects
the
politically
optimal protec-
tion
level. The first
result was
already
derived
in the
previous
section,
where I showed
that a
decline in the share of
agriculture
in
total em-
ployment
induces an increase in
agricultural
protection.
For the
analysis
of
the other
structural
vari-
7
A
corollary
is
that
competition
among politicians
favors
'effi-
cient' methods of taxation and subsidization, i.e. those
minimizing
deadweight
costs.
Such
results and
proposition
3
are
similar
to
re-
sults
from
Becker's
pressure
group
model
(Swinnen
and
de
Gorter,
1992).
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6
February
1994
Amer.
J.
Agr.
Econ.
ables,
the
model is modified in
four
ways.
First,
I
introduce
a
more
detailed
specification
of
the
consumption
and
production
system.
A
specific-
factor
model allows us to
derive the
general
equilibrium
effect
of a
transfer
policy.8
Second,
I use a
production subsidy
first and a tariff later
on
as
stylized
transfer
policies.
Third,
I
allow
for
different endowments
among
individuals,
but
assume that the distribution f
endowments
within
a
sector can be
represented
by
a
linear
function.
Finally,
to
keep
the
analysis
tractable
with
these
elaborations,
I
simplify
the
political
model
by
assuming
that
S'
and
U'
are
linear in
their ar-
guments.
Politically Optimal
Production
Subsidy
Assume
each sector
of the
economy produces
one
good,
A and
M
respectively.
Each sector
uses one
specific
immobile
factor:
KA,
agricul-
tural
capital
or
land,
for
agriculture
and
KM,
industrial
capital,
for
the
manufacturing
sector.
The
specific
factors
are
in fixed
supply
to their
industries.
In
addition,
each sector
uses
one
per-
fectly
mobile
factor:
K,,
called
labor,
with
LA
and
LM
representing
the
quantity
of labor em-
ployed
in both sectors.
The
total
quantity
of la-
bor
equals
the
fixed
aggregate
supply
of
labor:
LA
+
LM
KL.
The productionfunctions for the
two commodities
are each
linear
homogeneous
in
their
respective
inputs
and have
the standard
neoclassical
properties
of
differentiability
and
of
positive
and
declining
marginal
physical
prod-
ucts
for each
of the
inputs.
The
economy's
ag-
gregate
income
is
given
by
Y
=
qA
+
M,
with
q
the
producer
price
of
agricultural
output
( food )
in
terms
of
manufacturing
output.
An
individual
owns
KJ
units
of factor
Kj(j
A,
M,
L),
with
factors
fully
employed by
N
in-
dividuals:
iu
Kj
=
Kj.
Individual
gross income,
yG,
is the sum of returns to i's factor endow-
ment:
(7)
Y
C
rjK
j=A,M,L
where
rj
represents
the
return
per
unit of
factor
K1.
Let the
government
give
a
subsidy
s
per
unit
of
output
to
agricultural
producers.
The
subsidy
is
financed
by
an
income tax.
Per
capita
tax
is
defined as
T'
=
ty'G
with
t the constant
marginal
tax rate.
A
balanced-budget
policy implies
that
total tax income
equals subsidy
expenditures:
I
T'
=
sA,
where
A
is the
total
food
supply.
Individual
disposable
income
y'
is
therefore
(8) y'=(1 - t) rjK: (1 - t) 'Y
j=A,M,L
where
0'
is the share of
i's income in
total in-
come:
yG
=
0'Y.
When individuals
have
iden-
tical and
homothetic
preferences,9
the
effect of
a
producer subsidy
on
individual
welfare can
be
obtained
by differentiating
the indirect
utility
function and
using
Roy's
identity:
dU(p, y')
OU _A
D
dp
dy'\
(9)
-
A
-+
ds
Oy'
ds
ds
/
where
p
is the
consumer
price
of
A in
terms of
M,
and AD'
represents
i's
demand
for
food.
The
first term between brackets
represents
the ben-
efit consumers
obtain
from a
producer
subsidy.
Consumer
prices
decline because
of an
expan-
sion
in food
production:
dp/ds
<
0.
The
second
term
represents
the
change
in
disposable
in-
come.
Using
(8),
this can be
analyzed
further:
dy'
dyG
dT'
dyG
dt
(10)
(1-
G
-
t)
-
yG
ds ds
ds ds
ds
The last term of
(11)
represents
the
impact
of
the
subsidy
on
the tax rate. It consists of
three
effects:
'
dt
I
dAs
dp
(11)
-
As
+
s
--
tAs
+
1
.
ds
Y
ds
\ds
The
first
(positive)
term
in
brackets
reflects
the increased
need
for tax
revenue
as
food
pro-
duction,
and therefore
the
amount
of
subsidies,
increases. The second
(positive)
term
reflects the
deadweight
losses
associated with s.
These
losses
increase
with s and
therefore result
in
higher
taxes.
The
third
(negative)
effect reflects an in-
crease
in
aggregate
nominal
income: a
smaller
tax rate
raises the
same tax
revenues with a
larger
8
Full
specification
of the
general equilibrium
model and
more
details
on the
derivation
of the
results
are in
Swinnen.
9
Demand
is
specified
as in
Mayer.
Findlay
and Wellisz
are
not
able
to
derive
precise results
because
they
assume
that individuals
lobby
to
increase
their
income.
This
is due
to
an
indeterminancy
property
of
Ricardo-Viner
models
known
as 'neoclassical ambi-
guity'
(Ruffin
and
Jones).
Assuming utility
maximization
removes
the
ambiguity
(Young)
10
The
Viner-Wong
envelop
theorem is used
in
deriving
this.
The
effect on aggregate income is positive unless demand is completely
inelastic:
dYlds
=
A(dp/ds
+
1)
>
0. The effect
on
aggregate
disposable
income
is
negative
(with
dp/ds
<
0 and
dAlds
>
0):
dYl /ds
Adp/ds sdA/ds
0.
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Swinnen
A Positive
Theory
of
Agricultural
Protection
7
tax
base.
The
total
effect
is
positive.
Let
A'
be
the
marginal
change
in real
disposable
income
due
to
a
subsidy
s.
Using
(8),
(9), (11), (12),
and the
assumption
of
identical
preferences,
this
can
be derived
as
(12)
dy
dA
dq
A
=
(1
-
t)
dys --
+
(1
-
t)
A-d
ds
L
ds
ds
The
first term
represents
the
impact
on factor
income
(gross
effect
minus the tax
redistribution
effect:
a
higher
income
leads
to
a
higher
income
tax).
The terms
in
square
brackets
measure
the
share
of individual
i in
deadweight
losses
and
in the net
tax and
consumer
effect,
respectively.
Both
effects are
negative
since
dA/ds
and
dq/
ds are
both
positive.
The
only way
an individual
can benefit
from
a
subsidy
is when the
gross
income
effect
of the
subsidy
(dy'/ds),
is
large
enough
to
offset the
negative
consumption
and
tax effects.
The
subsidy
raises
the returns to
all
production
factors
in
agriculture
and lowers
the
return
to
industrial
capital:
drL/ds
>
0,
drAlds
>
0,
and
drM/ds
<
0. The
change
in
gross
in-
come is
positive
for workers
(for
whom K
=
K1
=
0)
and
for farmers
(for
whom
KA
>
0,
KM
=
0).12
Combining
(7)
and
(12)
allows one
to write
the
marginal impact
on i as
a
linear
function
of
i's
endowment:
_db
(13)
Ai
=
K
j=A,L,M
ds
where
(13a)
dbj
dr.
0
dA
dq
d
=
(1
-
t)
j
s--
+
(1
-
t)
A
ds
ds
ds
ds
forj
=
A, M,
L
where
4P, 4,P
and
44,
represent,
respectively,
the share
of the
return
to
a
unit of
labor, land,
and
capital
in
total
(national)
income.
In
this
no-
tation
bj
represents
the net
return
per
unit of
fac-
torj,
with net
referring
to
real
disposable
return,
accounting
for
changes
in
consumption prices,
taxes,
and
deadweight
costs induced
by
the
sub-
sidy.
The
marginal
impact
of s
on net factor
re-
turn
bj
depends
on the
size
of
s and
on
the struc-
ture
of
the
economy.
For s
>
0,
db,/ds
will be
positive
and
dbM/ds
negative,
while
dbL/ds
can
be
positive
or
negative,
depending
on
whether
the positive impact on the wage rate rLis less
or
more than
offset
by
the
sum
of
the
negative
impacts
on
deadweight
loss and taxes.
Combining
the
linearity
assumptions
on
S' and
U'
and
the endowment
distribution
unction with
the
politician's
optimization
problem
yields
the
following
condition
for
the
political
equilib-
rium:
db
(14)
Ky
-=0.
j=A,M,L
ds
This condition implies that in equilibrium the
marginal
impact
on the total
quantity
of
fixed
factor
in
agriculture
(land)
has
to
equal
the
total
marginal
impact
on industrial
capital, adjusted
for
the
marginal
impact
on
labor.
The
sign
and
size of
dbL/ds
depend
on
the
subsidy
and on
the
factor
intensity
and
substitution
elasticity
of
pro-
duction factors
in
various
sectors
of
the econ-
omy.'3
Equation
(14)
defines
the
political equilib-
rium
subsidy
s* as an
implicit
function of
ex-
ogenous
parameters
affecting
the
marginal
im-
pact
of the
subsidy
on individual welfare and
deadweight
costs.
In this
way,
these
parameters
affect the
change
in
political support
induced
by
the
subsidy
and hence
the
political equilibrium.
I
will now
derive
formally
how s* is
influenced
by changes
in
variables
such as
factor intensi-
ties,
the share
of
agriculture
in
production
and
consumption,
and demand and
supply
elastici-
ties.14
TO
eliminate
unnecessary
complications,
I
consider
variations
from the
equilibrium
for
which
dbL/ds
=
0.
Impact
of Capital Intensity
in
Agriculture
and
Manufacturing
To
derive the
impact
of
an increase in
the
capital
intensity
in
agriculture
or
manufacturing
on
the
Equation
(11)
can be rewritten
as
dt/ds
=
[(1
-
t)
A
+
sdA/
ds
-
tAdp/ds]/Y
>
0.
With
dp/ds
<
0 and
dAlds
>
0,
all
terms
are
positive
and therefore
dt/ds
>
0.
2 Assuming that each person owns one unit of labor (K = 1)
and
capital
in
one
sector
only,
it can be
shown that
gross
income
increases
for
everybody
who owns less
industrial
capital
than
the
capital
labor
ratio in the
manufacturing
sector
(Swinnen).
13
Food
production
is said to be
unbiased
with
respect
to labor
if
the
price
elasticity
of
the
wage
rate
equals
the share
of
agriculture
in
GNP
(Ruffin
and
Jones).
In this
case
dbL/ds
equals
the
share of
one
unit of labor in national
income times
total
dead-weight
loss.
Unless
food
production
is
sufficiently
biased towards
labor,
dbL/
ds
is
negative
(Swinnen).
'14
The share of agricultureand food in total production and con-
sumer
expenditures
are
endogenously
determined
in
the
model.
Therefore,
in
analyzing
the
impact
of
changes
in these
variables
on
the
equilibrium subsidy, everything
else is
held constant.
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8
February
1994
Amer.
J.
Agr.
Econ.
optimal subsidy
s*,
define
Vj
=
rjKj
as
total
fixed
factor return in sector
j.
Combining
(13a)
and
(14),
one
can
write the
political
equilibrium
condition as'5
(15)
VA7TA
= - VMTM
where
(15a)
7rj
=
(1
-
t)
Vj
+
(1
-
t)
a
-
tEA
and
where
i)
represents price
elasticity
of
the
gross
return to factor
j,
a
=
qA/Y
is
the
value
share
of
agricultural
production
in
the
economy,
and
EA
is
the
price elasticity
of food
production.
The
first
term
in
brackets
in
(17)
reflects the
ef-
fect on
factor
income,
the
second term
the
net
tax
and
consumption
effect,
and
the
last term
the deadweight loss effect.
PROPOSITION
.
If
the industrial
capital
stock
is
sufficiently large
vis-a-vis
the
capital
stock in
agriculture,
either
an
increase in
agricultural
capital
intensity
or an
increase in
industrial
capital
intensity
will
induce
an
increase in
equi-
librium
subsidy
s*.
For
lower
ratios
of
indus-
trial over
agricultural
capital,
the
impact
de-
pends
on the
input
substitutability
n
agriculture
and
on
the
subsidy.
The
impact
on
equilibrium
subsidy
s* of a
ceteris paribuschange in
VA
is
as*
7A
+
VA
7'AA
+
VMI7MA
(16)
aVA
VA
TAs
+
VM7TMs
where
7rji
=
-
/7rjVi
and
7rjs
=
a7rj/as
for
i,
j
A,
M. The denominator
is
always
negative
since
7rA
are
7rM
decreasing
in
s.
The first term of
the
numerator
s
positive:
as more
agricultural
cap-
ital
income
benefits
from the
subsidy
(i.e.
the
'vested
interest'
increases),
a
subsidy
increase
induces
a
larger aggregate
increase
in
political
support. The signs of the second and the third
term
depend
on the
signs
of
a07A/aVA
and
a7rn/
a
V,
respectively.
From
(15a)
it follows that
these
marginal
effects,
in
turn,
depend
on
the
com-
bined
marginal
impact
of
the
change
in
agri-
cultural
capital
intensity
on the effect
of
the
subsidy
on
individual
taxes
and
consumption,
deadweight
costs,
and factor
income.
An
in-
crease
in the share of land
in
agricultural
pro-
duction costs
shifts the
marginal-product-of-
labor
curve,
making
it less
elastic.
This reduces
the
supply
response
aEA/aVA
< 0)
which,
in
turn,
reduces the tax
burden
and
deadweight
loss.
The
effect is
positive
for
all
individuals
since
every-
body pays
taxes.
To
analyze
the
impact
of a
ceteris
paribus
in-
crease
in
VA
on
the
elasticity
of
industrial
inter-
est rates
(1'IM/OVA),
recall that in a Ricardo-
Viner model the return to industrial
capital
is
defined as revenue
in
manufacturing
minus
the
wage
bill. The
impact
of
an increase
in
agri-
cultural
capital
intensity
on
the
responsiveness
of
wages
to
a
food
price
increase
determines
therefore
he
effect
on industrial
profits.
As
wages
are less
responsive
to
agricultural price
in-
creases,
industrial
profits
are less affected
by
in-
creased
wages:
1JM/OVA
0.
With
Oa/OVA
0,
this
implies
that
a7/TmaVA
>
0.
Consequently,
industrialists
will
reduce
their
resistance
to
the
subsidization of agriculturalproduction.
The
impact
on the
elasticity
of
land rents with
respect
to
producer prices
is threefold:
(17)
Oa
A
a(1/OKA)
O(OLAIOKA)
OLA
1w
aVA
OVA
aVA
OKA
OVA
where
O,
and
OKA
re,
respectively,
the
cost
share
of labor
and of land
in
agricultural production.
The first
(negative)
term
shows that an increase
in
aggregate
returns
to
land
reduces the
per-unit
increase in land rents induced
by
a
price
in-
crease.
The second
term
is
positive,
indicating
that as
the share
of land in
food
production
cost
increases,
more
of the
price
increase
goes
to this
factor.
The last
term
is also
positive
and
reflects
the reduction
in the
wage
rate
elasticity,
leaving
more revenue
for the
return
to
the
fixed factor.
The
first
term
outweighs
the other
two
and,
hence,
&I'A/
aVA
<
0. The
net
negative
effect
is
mitigated
because
of
the
positive
tax and dead-
weight
loss
effect,
but unless
taxes
and
input
substitutability
are
high,
the
overall effect
will
be
negative
(O7TA/OVA
<
0).
The overall
effect
on the
equilibrium
subsidy
cannot
be determined
unambiguously.
It
de-
pends
on the
input
substitutability
and
on
the ra-
tio
of the
capital
stocks
(VA/VM).
As this
ratio
declines,
as
typically
happens
with
economic
development,
the effect
of
an increase
in
agri-
cultural
capital
on the
equilibrium
subsidy
will
be
positive:
as*/aVA
>
0.
The total
effect
of an increase
in industrial
capital
can
be
disaggregated
in a similar
way.
First,
the
opposition
to
the
subsidy
increases be-
cause more industrial capital is affected. Sec-
ond,
the
impact
on the
elasticity
of
the
returnto
industrial
capital
with
respect
to
an
agricultural
z5
One
can
write the
equilibrium
condition
as
ZAXA
=
ZMXM
where
Z,
=
bjK,
is
aggregate
net
return
to
fixed
factorj and
X,
is the
price
elasticity
of
per
unit net
return
to fixed
factor
j.
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Swinnen
A Positive
Theory of Agricultural
Protection
9
price
increase
is twofold. As
the
industrial
cap-
ital stock
increases,
labor's
marginal
product
curve
in
manufacturing
shifts,
increasing
the
in-
flationary
effect of a food
price
increaseon
wages
which,
in
turn,
increases
the
negative
impact
on
industrial
profits.
However, the increase in the
wage
rate
is more
than
offset
by
reduced
share
of labor
in
production
costs.
Therefore,
the
net
effect
of an
increase
in industrial
capital
on
the
elasticity
of
industrial
profits
with
respect
to an
agricultural
price
increase
is
positive:
aVM/VM
0.
Third,
the
increased
sensitivity
of
wages
to
agricultural
price
increases
reduces
the de-
mand
for labor
in
agriculture,
restricting agri-
cultural
output
response
to a
price
increase
(aE,/
SVM
0),
which,
as
discussed
before,
benefits
taxpayers.
Finally,
the
increased
wage
demands
lower
agricultural
profits,
resulting in a reduced
impact
on
land
rents:
OItA/OVM,
<
0.
Because
land
rents
are
less
responsive
to
an
increase
in
the
agricultural
producer
price,
the
increase
in landowner
support
is
smaller.
On
the
other
hand,
with
increasing
capital
intensity
in
manufacturing,
the
negative
impact
of
agricul-
tural
subsidies
on
industrial
profits
becomes
smaller.
This reduces
the
loss
in
capitalists' po-
litical
support
when a
subsidy policy
is
imple-
mented.
Both
sides
experience
beneficial tax ef-
fects.
Again,
the
aggregate
impact
cannot be
signed
unambiguously.
However, as the indus-
trial
capital
stock
grows,
the overall effect on
the
equilibrium
subsidy
will become
positive:
as*/aVM
>
0 for
a
large
VM/VA.
Impact of
the
Share
of Agriculture
in
Production
and
Consumption
PROPOSITION
5.
The
political
equilibrium
sub-
sidy
s*
will increase
as
the share
of agriculture
in total
output
declines.
A
decline
in the
share
of
agricultural
output
in
the
economy
has
one
major
effect. The tax
base
enlarges
relative
to
total
expenditures.
The
tax
rate
required
to finance
both
the
subsidy
and
the
accompanying
social
costs declines.
With
all
taxpayers
benefiting,
the
loss
in
political sup-
port
per
unit
of
subsidy
decreases.
Two
minor
effects enhance
or
mitigate
the
increase
in
po-
litical
support.
To
see
this,
rewrite
the tax rate
t as a function
of the share
of
agriculture
n
GNP
(t
=
8a,
with
8
=
s/q),
and take the
partial
derivative
of
r
with
respect to a
(18)
=
-[1
-
t
+
8(
-j
a
+
EA)].
da
The
first term
between
square
brackets
(1
-
t)
represents
the
net reduction
in the
tax
rate,
and
SEA
reflects
the
reduction
in
deadweight
loss
caused
by
a
decrease
in a.
86i
reflects the
im-
pact
of a
change
in
a on the tax
redistribution
caused by a subsidization policy: those whose
income
increases
with
the
subsidy
have to
pay
more
income tax.
As
the share
of
agriculture
in
total
output
falls,
the
induced increase
in in-
come
tax
is smaller.
Finally,
-
Sa
represents
the
change
in the
output
effect
of
a
production
sub-
sidy.
With
a
decreasing,
the
expansion
of
the
tax
base
is
reduced,
adversely affecting every-
one's
welfare.
With
TA,/OaO
>
0
and workers
and
industrialists
benefiting
from a reduction
in
the tax
rate,
but
adversely
affected
by
the
output
and
tax redistributive
effect,
the
aggregate
effect
on the equilibrium subsidy will be positive for
a decrease
in
a.16
PROPOSITION
6.
The
optimal production
sub-
sidy
s* decreases
with
increasing food expen-
diture
shares.
The
beneficial effect of
a
produc-
tion
subsidy
on
the
consumption
side is
more
than
offset
by
a
(relative)
increase
in taxes.
In
a
closed
economy,
the
supply
increase
in-
duced
by
a
production
subsidy
reduces con-
sumer
prices.
A
larger
share
of food
expendi-
tures
will therefore lead
to more
support
from
consumers
for
production
subsidies. This is
merely
an
illustration
of
the fact that
production
subsidies
have
exactly
the same
effects on
all
factors as
do
consumption
subsidies
(Gardner
1987b).
For similar
reasons,
the
negative impact
on
the
return
to industrial
capital
of
an
increase
in
the
producer price
of food
declines.
However,
in
a closed
economy
situation,
a
higher
share
of food
in
total
expenditures
im-
plies-for
a
given
subsidy
level-a
higher
share
of
agriculture
in
GNP.
Using
(10),
it is
easy
to
show
that
the
positive
effect
of
a
production
subsidy
on food
expenditures
is
more than
offset
by
an increase
in
taxes
which
accompany
the
larger
share
of food
in
total
production
n
a
closed
economy.
The
aggregate
effect
of
a
change
in
the share
of food in
total
expenditures
(aD
=
pADlyd)
on
irj
will
therefore be
very
similar
to
the
impact
of
the share
of food
production
in
total
output
(as
=
a
=
qASIY):
a7/roaD
= (1
16
With
A
>
1
and 0
<
a
<
1, a?rA/aa
is
positive. arm/laa
could
be
negative
for
~m
sufficiently negative.
For this to
happen,
the share of labor in
manufacturing
costs has
to be
high,
while
the
share of
manufacturing
in total
employment
has to be low. The
latter can
happen
only
if the total return o
industrial
capital
is
small,
in which case the
positive
effect
on
agricultural
capital
will
more
than
offset the
negative
effect
on
industrial
capital.
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http://slidepdf.com/reader/full/a-positive-theory-of-agricultural-protection 12/16
10
February
1994
Amer.
J.
Agr.
Econ.
+
5)(yd/Y)2
aTj/as.
The
sign
and
interpretation
of
a-.i/aD
are
therefore dentical o
those of
(18).
Proposition
6
relies
on
the
assumption
that
in-
dividual
preferences
are
identical,
which im-
plies that the individual share in consumption
equals
the tax and income share.
If
this
is
not
the case:
COROLLARY 6.1.
Differences
in either
con-
sumer
preferences
or
marginal
income
taxes
among
individuals
induce
different
political
re-
actions
to a
change
in the
ood expenditure
hare.
'Poor'
people, experiencing
small
marginal
in-
come tax
rates,
few government
benefits,
and a
higher-than-average marginal
propensity
to
consume
food,
will be less
politically
resistant
to-or may even support-production subsi-
dies-than will 'rich'
people.
This
differential
political
reaction is
positively
related to the
share
of food
in
total
expenditures.
If
consumer
preferences
are
not
identical
among
individuals
or when individuals
have different
marginal
income tax
rates,
the
marginal
indi-
vidual
impact
of
a
subsidy,
A',
has
two
addi-
tional
terms
reflecting
these differential
impacts:
(19)
A
=
a+
(1
-
K')
dy'G
dA
dq
dys+
s--+
(1 -
t)
Ad
ds ds
ds I
dp
+
4'(Kr
-
KD)
Ap
ds
where
A'
is the
marginal
impact
given
identical
preferences
and
marginal
income taxes
as de-
fined
in
(10).
K'
is
defined as the ratio
of in-
dividual i's income
tax rate
(t')
to the
average
income tax
rate
(t
=
T/Y).
Similarly,
KD
rep-
resents the ratio of i's marginal propensity to
consume
food
(MPCA)
over
the
average
mar-
ginal
propensity
to
consume food.
The
second
term
reflects
the
impact
of a
higher-
or
lower-
than-average
income
tax
rate
and
is
positive
as
i's income
tax rate
is
below
the
average
income
tax rate
(K'1
<
1).
The
marginal
impact
of
a
sub-
sidy
on
individual i
depends
on
the relative size
of i's
income tax share
versus i's
consumption
share.
This
effect is
capturedby
the last
term in
(19).
With
dp/ds
<
0,
the
last term is
negative
if i's share
in
total
income tax
is
larger
than i's
share in consumption, and vice versa.
The
impact
of
an
increase
in
food
expenditure
share
then becomes
(20)
a
Kr
D
(K-
K)(1
+
)
aaD
Taa
(Y-d
2
dq
/ds
where
ar/o/aoD
represents
the
result
given
iden-
tical
preferences
and
marginal
income
taxes
as
derived in
the
previous
paragraph.Equation
(20)
shows
that an individual
with
a
lower-than-
average
income tax rate
(K',
<
1)
and
a
higher-
than-average
marginal
propensity
to
consume
food
(KD
>
1)
will lose
less
than an
'average'
individual
or
may
even benefit if
the
aggregate
share
of
food
in
expenditures
increases.
There-
fore, 'poor' people who pay less income tax and
have a
higher propensity
to
consume food
will
be less resistant to
production
subsidies
than are
'rich'
people
as the share
of
food
in
total con-
sumer
expenditures
increases.
In
the
last section
of
the
paper,
I
show that the result
changes
when
an
import
tariff
is
used to
protect
farmers.
Impact
of
Price
Elasticity
of
Demand and
Supply
of
Agricultural
Products
The
only
effect
of a
change
in
the
price
elastic-
ity
of
demand
for
agricultural
products
(food)
E
A
is on
the
price change
dq/ds:
a
higher elasticity
implies
that a smaller
consumer
price
change
will
be
induced
by
a
production
subsidy.
With
dq/
ds
=
dp/ds
+
1,
the
producer
price
change
in-
creases.
However,
it
was
demonstrated
earlier
that
this does
not affect
the
political
equilib-
rium.
Therefore,
a
change
in
E
Ahas
no
effect
on
the
political equilibrium.
PROPOSITION
7. The demand
elasticity
does not
affect political equilibrium
subsidy
s*.
A
higher
supply
elasticity, holding everything
else
constant,
increases
the
tax rate
and
the
deadweight
loss
burden,
decreasing
the
political
support
of those
benefiting
from
the
subsidy
(a7rA/
aEA
<
0)
and
increases
the
resistance of those
hurt
by
it
(raM/aEA
<
0).
Combining
this with
the
equilibrium
condition
(15)
yields
PROPOSITION
8. Agricultural protection will
be lower
for
products
with
higher supply
elas-
ticities.
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Swinnen
A Positive
Theory of Agricultural
Protection 11
Agricultural
Trade
and
Protection
Thus
far
the
analysis
has focused on a closed
economy.
I now
analyze
how results
change
in
an
open economy,
then derive results when a
tariff
instead
of
a
production
subsidy
is used
as
the
policy
instrument.
Politically Optimal
Subsidy
in an
Open
Economy
The
adjusted
version of A' in an
open
economy
is
dq
dy'
(21)
dA=
(1-
t)-
G
ds
dq
s
+
(1
-
t)As
•'(A-
As
dp
dq
1ds
where
A
s
and A
D
represent
total food
production
and
consumption.
The
only
difference
between
(21)
and
the closed
economy
version
(13)
is
the
last
term,
which
is
the
tax share
0'
times food
imports
times the consumer
price
change.
Two
results
follow
immediately.
First,
the
differen-
tial
impact
on
consumption
versus
production
is
irrelevant
for
either
the closed
economy
(AD
=
As) or the small open economy (dp/ds = 0) case.
Hence
PROPOSITION
.
Results derived
for
a
closed
economy
hold also in
a
small
open
economy.
The
only
difference
in A'
between
the
closed
economy
and the small
open
economy
situation
is
the size
of
the
price
effect.
In
a
small
open
economy
dq/ds
=
1,
while the induced
supply
increase
will
limit the
producer price
increase to
dq/ds
<
1
in
a
closed
economy.
However,
this
does not
change
the
political
equilibrium,
since
optimality
condition
(15)
does not contain
dq/
ds. From
this
it
follows
that the
equilibrium
value
s*
will be
unaffected
by
the
size of
dq/ds.
An
induced
change
in
dq/ds
reinforces
(mitigates)
the effects
for
a
given
price
effect
on
factor
re-
turns.
Consequently,
the
marginal
increase in
political support
from
those
benefiting
from
the
policy
will
increase
(fall)
as
will
the
marginal
decrease
in
support
from those
adversely
af-
fected.
However,
at
the
optimal
subsidy
level
these effects will
exactly
balance,
since
%A
A
=
-
ITM
VM
in
equilibrium
for
IrL
=
0.17
Hence,
an
induced
change
in
dq/ds
does
not
affect the
comparative
statics
results
either.
Second,
for a
large
open
economy,
the
polit-
ical
equilibrium
will
depend critically
on
the
country's trade position. With dp/ds < 0, peo-
ple
in
a
food
exporting
country
will
experience
an additional
marginal
decrease
in
real
dispos-
able
income
per
unit of
subsidy
due to
a
nega-
tive terms-of-trade
effect,
affecting
all individ-
uals
proportionally
to
their income.
Ceteris
paribus,
the
politically
optimal subsidy
will
be
lower
since,
for
a
given
s,
the increase in
land-
owners'
political support
will
be
smaller while
the
decrease
in
political
support
from
capitalists
will be
larger.
The
opposite
result holds
for
a
food
importing
country.
Large
food
importers
will experience a terms-of-trade improvement,
leading
to
relatively
more
favorable reactions to
an
agricultural
production
subsidy.
Conse-
quently,
the
politically optimal
subsidy
in-
creases.
The
Politically
Optimal
Tariff
The
marginal
change
in
real
disposable
income
due
to
a
tariff
7, A',
is:
i,(AD
As)
d _
dd
where
p,,
is world market
price
of
food,
T
=
p
-
pW,
and
t,
=
T(As
-
AD)/Y.
Further,
p = q,
dA
S/d
>
O,
dAD/dr
<
0,
dp/d
>
0,
and
(AdD
-
A
S)dp,/d equals
zero for
a small and closed
economy, positive
for
a
large
exporter,
and
neg-
ative
for a
large
importer.
The
analysis
is lim-
ited
here to two
propositions.
Other
results,
in-
cluding
the
comparison
of
AT
and
7*
to A'
and
s*,
are
in
Swinnen.
PROPOSITION10.
In a small
open economy,
the
politically
optimal tariff
T*
declines as the
share
of food expenditures
increases due to an in-
crease in the
distortionary
effects
on
taxes
and
consumption.
In case of a tariff in a small open economy,
the loss to consumers of
increased
consumer
prices
is
exactly
offset
by
the revenue
gain
due
7
This
result
holds whether
or
not
db,/ds
is
zero.
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12
February
1994
Amer.
J.
Agr.
Econ.
to
the distribution
of tariff
revenues.
However,
the
distortionary
effects
of the
tariff
on
produc-
tion
and
consumption
reduce the
marginal
in-
crease
in
political support
from
the
beneficiaries
and increase the
marginal
loss of
political
sup-
port
from those hurt
by
the
protection,
f the share
of
food
expenditures
increases.
Consequently,
a
decreasing
share of
food in
total consumer
ex-
penditures
will
lead
to
an increase
in
7*.
To
show
this
formally,
define
1Qr(7)
nalogous
to
j
in
(15a)
for a tariff-induced
food
price
increase,
given
identical
preferences
and
income
tax
rates.
It
follows that:
a0j(T)
D
(23)
=
,(EA
+
-
where 8, =
/ip
and
eD
< 0 represents the de-
mand
elasticity
of food. The term
,E
D
reflects
the
efficiency
loss on the
consumption
side,
which increases
with the
consumption
evel.
The
other
terms
in
brackets
reflect
the
'tax base'
ef-
fect
(a)
and the
tax redistribution effect
(IV.).
or workers
(j
=
L)
and
industrialists
(j
=
M),
arj(r)/aaD
is
negative.
For landowners
(j
=
A),
the
aggregate
term
is
positive
if
the
elasticity
of
land rents
with
respect
to
producerprices
is
high,
the share
of
agriculture
n
GNP
is
low,
and
food
demand
is inelastic.
Proposition
10
is
again
based
on the assumption that each individual's share
in
tax revenues
is the same
as her
share
in
con-
sumption.
If
this
is not the
case,
COROLLARY
0.1.
'Poor'
people,
experienc-
ing
small
marginal
income
tax
rates,
few
gov-
ernment
benefits,
and
a
higher-than-average
marginal
propensity
to
consume
food,
will
op-
pose
import
tariffs
more
vigorously
than do
'rich'
people.
Such
resistance
increases when
ood
ex-
penditure
share
increases.
Individuals
benefit
or lose from an
increasing
share
of
food
expenditures,
depending again
on
whether their
income tax rate
is
lower
or
higher
than
average
and
on
whether their
consumption
share
is smaller
or
larger
than their tax
share:
aT(7r)
Ia
(7)
(24)
=
KT
a
+
KD - K
).
The first term
reflects the
impact
of the
marginal
income
tax
rate:
the
larger
the
income
tax
rate,
the
more
negative
alrj(7)/3aD
becomes. The last
term
is
negative
for
individuals
whose share of
food consumption is larger than their share of
income
tax
(K'
<
KD).
The differential
impact
is the
opposite
of the one under a
production
subsidy regime.
Those
receiving
a
large
share
of
government
revenues
and/or
have a
small
MPCA
will
experience
a smaller
marginal
de-
crease or
a
marginal
increase
in
welfare
as
the
share
of food
expenditures
goes
up,
compared
to 'other'
people.
As the share of food
expen-
ditures
increases,
they
will
increase
their
polit-
ical
support
for
tariffs
or
oppose
tariffs less
than
those
people
whose
MPC
is
larger
or
whose
share
in
government
revenues is
smaller.
This
again
indicates that one has to
consider
the combination
of
tax/tariff
distribution
and
consumption
distribution
in
analyzing
the im-
pact
on
the
equilibrium subsidy
of
the
share of
food
consumption
n
total
expenditures.
The
idea
that a reduction
in
food
expenditure
share will
reduce consumer resistance
to
agricultural
pro-
tection is not
generally
valid. In
developing
countries,
urban consumers
often do not
receive
a
proportional
share
in
the redistribution
of
tariff
income,
if
anything
at
all.
In
such
case,
a
tariff
does have a
significantlynegative
effect on
urban
consumers.
In
general,
an
income tax
system,
and
proportional
axation and
reimbursement,
is
gradually
installed
as
economic
development
proceeds.
Hence the
perceived impact
of a
re-
duction
in
food
expenditure
share
on
agricul-
tural subsidization
may
'hide' the
impact
of
a
change
in
the tax
system.
The
final
proposition
relates the
politically
optimal
tariff
to
degree
of food
self-sufficiency.
Assume
again
that
each
individual's share in
tax
revenues
is
the
same
as
her
share in
consump-
tion
(ir(7)
=
t
(7r)).
The
marginal
impact
of an
increase
in food
self-sufficiency,
through
an in-
crease
in domestic
food
supply
holding every-
thing
else
constant,
can
be derived as
arQ(7)
_q
(25)
-
[1
-
t,
+
,((I
+
A
-
a)]
aAS
Y
where
ea
represents
the
price
elasticity of the ex-
cess
supply
curve.
The
first term between
square
brackets
(1
-
t,)
represents
the net increase
in the
tax rate
and
5,EAxreflects
he increase
n
deadweight
oss caused
by
an
increase
in domestic
food
supply.
6,?j
reflects
the
impact
of
a
change
in As on
the
tax
redistribution
caused
by
a tariff:
those whose in-
come increases
because
of the
policy
have to
pay
more income
tax.
Finally,
-Sa
represents
the
change
in
output
effect of a tariff.
As As
increases,
the tax
base
expands,
which benefits
everybody. With
aIA(T)/aA
s < 0 and workers
and industrialists
adversely
affected
by
an in-
crease
in the tax
rate and
deadweight
cost,
but
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Swinnen
A Positive
Theory
of Agricultural
Protection
13
benefiting
from the tax
redistribution
effect,
the
aggregate
effect
on the
politically optimal
tariff
will
be
negative.18
Therefore,
PROPOSITION
1.
Agricultural protection
will
decline with an increase in the degree of food
self-sufficiency.
A
large
open
economy
will
experience
an ad-
ditional
marginal
decrease
in
real
disposable
in-
come
per
unit of tariff due to
a
negative
terms-
of-trade
effect. This affects
all
individuals
pro-
portionally
to their income.
Ceteris
paribus,
the
politically optimal
tariff
will
be lower
since,
for
a
given
7,
the
increase
in
landowners'
political
support
will be smaller while
the
decrease
in
po-
litical
support
from
capitalists
will
be
larger.
Concluding
Remarks
I
have
presented
a
political
model
in
which
rational
and
fully
informed
citizens
interact
with rational
political-support-maximizing pol-
iticians.
The
model is
integrated
with a
specific-
factor,
general
equilibrium
specification
of
the
economy.
It
predicts
that
politicians'
optimizing
behavior
will
lead
to an increase
in
agricultural
protection
as certain
exogenous parameters
change.
The
analysis
indicates
that the
observed
correlation between
agricultural
protection and
economic
development
is
not due
to a
single
factor. Structural
changes
in
the
economy
influ-
ence
the
political equilibrium
through
their ef-
fect on
pre-policy
endowment
incomes,
on
the
impact
of the
policy
on
individual
welfare,
and
on
the
efficiency
of the
policy
in
transferring
income. These
changes
affect
political
support
for
the
policy
and,
consequently,
have an
im-
pact
on
the
political
equilibrium.
First,
politi-
cians increase
agricultural
subsidies as
real in-
comes
in
agriculture
fall relative to
the
rest of
society.
The model
predicts
that the
equilibrium
subsidy
will
increase
as
the share of
agriculture
in
total
output
decreases,
as
capital
intensity
in
and outside
agriculture
increases,
and as
supply
elasticities increase.
Only
for
large
importers
or
exporters
will
demand elasticities
affect the
sub-
sidy.
The
impact
of
a
reduction
of
food in
total
consumption expenditures
on
the
equilibrium
protection
level
depends
on
the distribution
of
income taxes and
tariff revenues.
[Received
September
1991;
final
revision
received June 1993.]
18
The
argument
s
analogous
o
the one in
footnote 16.
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