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Chapter
10
includes:10.1
What
is
Oligopoly?10.2 ty
CompetitionCournot
Duopoly(古诺双寡头模型)Stackelberg
Duopoly(斯泰克伯格双寡头模型)Kinked
Demand
Curve
Model(折弯的需求曲线模型)10.3
Price
CompetitionBertrand
Duopoly(伯特兰双寡头模型)Price
Leaderships2经济学院Overview
of
Last
ClassWhat
is
Oligopoly?ty
CompetitionCournot
Duopoly(古诺双寡头模型)Stackelberg
Duopoly(斯泰克伯格双寡头模型)3经济学院Outlines
of
Today’s
Class
Kinked
Demand
Curve
Model(折弯的需求曲线模型)Bertrand
Duopoly(伯特兰双寡头模型)Price
Leaderships(价格 者模型)4经济学院Chapter
8
includes:10.1
What
is
Oligopoly?10.2 ty
CompetitionCournot
Duopoly(古诺双寡头模型)Stackelberg
Duopoly(斯泰克伯格双寡头模型)Kinked
Demand
Curve
Model(折弯的需求曲线模型)10.3
Price
CompetitionBertrand
Duopoly(伯特兰双寡头模型)Price
Leaderships5经济学院Sweezy(Kinked-Demand)Model斯威齐(或折弯的需求曲线)模型6经济学院Strategic
interdependence: You
aren’t
incomplete
control
of
your
own
destiny!The
effect
of
a
price
reduction
on
the
tydemanded
of
your
product
depends
uponwhether
your
rivals(竞争对手)respond
by
cuttingtheir
prices
too!The
effect
of
a
price
increase
on
the
tydemanded
of
your
product
depends
uponwhether
your
rivals
respond
by
raising
theirprices
too!Sweezy
(Kinked-Demand)
ModelA
Few
firms
in
the
marketEach
producing
homogeneous
products.Barriers
to
entryEach
firm
believes
rivals
will
match
(or
follow)price
reductions,
but
won’t
match
(or
follow)price
increases.Key
feature
of
Sweezy
ModelPrice-Rigidity(价格刚性)7经济学院Oligopoly
-
Kinked
Demand
CurveUnderlying
assumptions
of
firmscompetitors
will
lower
prices
if
you
norder
to
keep
market
sharecompetitors
will
not
raise
prices
if
you
norder
to
increase
their
market
shareAbove
leads
to
what,
in
reality,
are
twodemand
curves;
one
for
price
increases
and
another
for
decreases8经济学院QD1
(Rival
holds
itsprice
constant)Q0D2
(Rival
matches
your
price
change)PPHP0PL9经济学院PQD1P0Q0D2
(Rival
matches
your
price
change)(Rival
holds
itsprice
constant)DDemand
if
Rivals
Match
PriceReductions
but
not
Price
Increases10经济学院Oligopoly
-
Kinked
Demand
CurvePDemandQ11经济学院Sweezy
Marginal
RevenueD1Q0MR1MR2(Rival
holds
itsprice
constant)DPD2
(Rival
matches
your
price
change)P0QMR12经济学院Oligopoly
-
Discontinuous
MR
CurvePDemandMRQ13经济学院Oligopoly
-
Kinked
Demand
CurveOccurs
only
in
cutthroat
competitionDemand
is
kinked
because
of
one
firm’sview
of
how
other
firms
will
react
iftheyraise
or
lower
pricesKinked
demand
curve
leads
todiscontinuous(不连续)MR
curveResult
is
that
a
firm
is
reluctant
to
changeprices
either
up
or
down14经济学院Oligopoly
-
Kinked
Demand
CurveLeads
to
sticky
(administered)
prices.Firms
absorb
many
cost
increases
withoutchanging
prices.Firms
do
not
pass
cost
decreases
on
to
theconsumer
without
changing
prices.15经济学院Oligopoly
-
Sticky
PricesPQDMCQ*MR=MCASACP*MR16经济学院PQDMRMC1MC2Price
changes
onlywhen
MC
shifts
outof
the
MR
gapWhy
are
prices
sticky
under
oligopoly?MC3Q3
Q*P3P*If
Costs
increasewithin
the
MR
gap…Price
does
notchange17经济学院Why
are
prices
sticky
under
oligopoly?Price
does
notchange
if
demandcurve
shifts18经济学院The
Kinked
Demand
ModelDeveloped
to
explain
why
prices
inoligopoly
markets
tended
to
beinflexible(僵硬的).Changes
in
costs
were
only
rarely
met
bychanges
in
pricesPrice
changes
did
occur
when
changes
incosts
were
large
in
magnitude.This
model
explains
why
prices
under
monopoly
tend
to
be
“sticky”19经济学院3.
Criticisms
of
the
Kinked
Demand
Curve
TheoryThis
theory
has
two
basic
ings:,
it
ignores
where
the
prevailing(“kink”)
price
came
from;second,
empirical
evidence
points
out
anumber
of
oligopolies
whose
behaviorcould
not
be
explained
by
a
kinkeddemand
curve.20经济学院Chapter
10
includes:10.1
What
is
Oligopoly?10.2 ty
CompetitionCournot
Duopoly(古诺双寡头模型)Stackelberg
Duopoly(斯泰克伯格双寡头模型)Kinked
Demand
Curve
Model(折弯的需求曲线模型)10.3
Price
CompetitionBertrand
Duopoly(伯特兰双寡头模型)Price
Leaderships(价格
者模型)21经济学院Price
Competition:
Bertrand
Model(伯特兰模型)Alternative
strategic
behaviorFirms
compete
using
only
price
(notBertrand
ModelSimultaneous
game(同时博弈)Firms
use
price
as
strategic
variableGet
results
dramatically
different
fromcompetitionty)ty22经济学院Bertrand
(1883)
price
competition.Both
firms
choose
prices
simultaneously
and
haveconstant
marginal
cost:MC1=MC2=c.Firm
1
chooses
p1.
Firm
2
chooses
p2.Consumers
buy
from
the
lowest
price
firm.
(If
p1=p2,each
firm
gets
half
the
consumers.)An
equilibrium
is
a
choice
of
prices
p1
and
p2
suchthatfirm
1
wouldn’t
want
to
change
his
price
given
p2.firm
2
wouldn’t
want
to
change
her
price
given
p1.23经济学院Bertrand
ModelExample
of
Bertrand
ModelEach
firm’s
MC
=
c,
constantAll
firms
simultaneously
set
their
pricesEquilibrium:
All
firms
set
p=cAll
firms
have
same
p,
or
high
p
loses
all
salesAny
p>c,
slight
price
reduction
yields
big
profitAny
p<c,
lose
money24经济学院Bertrand
EquilibriumTake
firm
1’s
decision
if
p2
is
strictly
bigger
than
c:If
he
sets
p1>p2,
then
he
earns
0.If
he
sets
p1=p2,
then
he
earns1/2*D(p2)*(p2-c).If
he
sets
p1
such
that
c<p1<p2
he
earns
D(p1)*(p1-c).For
a
large
enough
p1<p2,
we
have:D(p1)*(p1-c)>1/2*D(p2)*(p2-c).Each
has
incentive
to
slightly
undercut
the
other.Equilibrium
is
that
both
firms
charge
p1=p2=c.25经济学院The
Bertrand
Paradox(伯特兰悖论)The
conclusions
of
the
Bertrand
Model
are
thefollowing:(i)
that
firms
price
at
marginal
cost,and(ii)
thatfirms
do
not
make
profit.These
conclusion
does
not
match
the
results
ofcournot
duopoly
model.
That
means
even
duopolywould
suffice
to
restore
competition,
and
we
can
getthe
competitive
equilibrium
from
oligopoly.We
call
this
the
Bertrand
Paradox.26经济学院How
to
solve
the
Bertrand
ParadoxThe
Edgeworth
Solution(埃奇沃思解法)Introducing
capacity
construction,
by
which
firms
cannotsell
more
than
they
are
capable
of
producing.The
temporal
Dimension(时间纬度)The“timing”(速度)of
price
reduction
of
each
firm
doesalways
not
seem
reflect
economic
reality.the
morecollusive
behavior
than
in
the
Bertrand
equilibrium
can
besustained
by
the
threat
of
future
losses
in
a
price
war.Product
Differentiation(产品差异化)27经济学院The
Edgeworth
Model28经济学院Chapter
10
includes:10.1
What
is
Oligopoly?10.2 ty
CompetitionCournot
Duopoly(古诺双寡头模型)Stackelberg
Duopoly(斯泰克伯格双寡头模型)Kinked
Demand
Curve
Model(折弯的需求曲线模型)10.3
Price
CompetitionBertrand
Duopoly(伯特兰双寡头模型)Price
Leaderships(价格
者模型)29经济学院30Price-leadership
modelPrice-leadershipSequential
gamePrice-leader
firm
sets
its
priceTypically
large,
respected
firmDominant
firmBarometric
firmFollower
firms
–
usually
smaller
–
react
to
leaderNote:
Follower
firms
are
price
takersogous
to
compet北it京iv大e学经f济ir学m院sPrice
LeadershipMarket
demand
function
is
D(p)Given
leader
price
p,
follower
firms
supplyqf(p),
anticipated
by
leaderSo
leader
gets
residual
demandL(p)
=
D(p)
–
qf(p)Leader’s
chooses
p
to
max
profitL(p)
=
p[D(p)
-
qf(p)]
–
cL[D(p)-
qf(p)]31经济学院Price
LeadershipResultsFollowers
aP=MCcompetitorsEconomic
profit
of
each
is
zeroLeader
acts
as
monopolist
residual
demandMRL=MCLOnly
leader
earns
monopoly
profits32经济学院33经济学院34经济学院Co-operative
Behavior:
CollusionCollusion
is
illegal
inUSBut
not
for
international
car
sOPECBauxite,
copper,
tin,
coffee,
tea,
mercury,
iodineGoal
of
car :
Joint
profit
izationCan
achieve
(joint)
monopoly
profitsMust
di utput,
profits
among
car
membersIf
car fraction
of
market,
like
dominant
firm
model35经济学院Co-operative
Behavior:
CollusionFundamental
tensio
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