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MONOPOLISTIC
COMPETITION
AND OLIGOPOLY
O u t l i n e
PC War Games
A. Each PC maker tellsus thatthey have the bestproductat the best
price.
B. Justtwo big chip makers produce almost allthe processorand
me mory chips inour PCs.
C. Firms inthese markets are neitherpricetakerslikethose inperfect
competition,nor are they protected from competitionby barriersto
entrylikea monopoly.How do such firms choose the quantityto
produce and price?
I. Monopolistic Competition
A. Monopolistic competition isa market with the following
characteristics:
1. There are a large number offirms,with each firm producing a
differentiatedproduct.
2. Firms compete on productquality,price,and marketing.
3. Firms are free to enterand exitthe industry.
B. MonopolisticCo mpetition
The presence ofa large number offirms inthe market implies:
197
C h a p t e r
1 9 8 C H A P T E R 1 3
1. Each firm has only a smallmarket share and thereforehas
limited market power to influence the priceof itsproduct.
2. Each firm issensitiveto the average market price,but no firm
pays attentionto the actionsofthe other,and no one firm’s
actionsdirectlyaffectthe actionsofotherfirms.
3. Collusion ,or conspiringto fixprices,isimpossible.
C. Product Differentiation
Firms inmonopolisticcompetitionpracticeproduct
differentiation ,which means thateach firm makes a productthat
isslightlydifferentfrom the productsofcompeting firms.
D. Competing on Quality,Price, and Marketing
Productdifferentiationenables firms to compete inthree areas:
quality,price,and marketing.
1. Qualityincludes design,reliability,and service.
2. Because firms produce differentiatedproducts,each firm has a
downward-sloping demand curve foritsown product.But there
isa tradeoffbetween priceand quality.
3. Differentiatedproductsmust be marketed using advertisingand
packaging.
E. Entryand Exit
There are no barriersto entryinmonopolisticcompetition,so firms
cannot earn an economic profitinthe long run.
F. Entry and Exit
Figure 13.1 (page 281) shows market share of the largestfourfirms
and the HHI foreach often industriesthatoperate inmonopolistic
competition.
II. Output and Price in Monopolistic Competition
A. Short-Run Econo mic Profit
1. A firm thathas decided the qualityofitsproductand its
marketing program produces the profitmaximizing quantityat
which itsmarginalrevenue equalsitsmarginalcost(MR = MC ).
198
a) Priceisdetermined from the demand curve forthe firm’s
productand isthe highestpricethe firm can charge forthe
profit-maximizing quantity.
b) A firm inmonopolisticcompetitioncan earn an economic
profitinthe shortrun if:P > ATC.Itoperates much likea
single-pricemonopolist.
2. Figure 13.2a (page 282) shows a short-run equilibrium output
and pricefora firm inmonopolisticcompetition.
B. Long Run: Zero Econo mic Profit
1. Inthe long run,economic profitinduces entry.And entry
continues as long as firms inthe industryearn an economic
profit—as long as (P > ATC).
a) Inthe long run,a firm inmonopolisticcompetition
maximizes itsprofitby producing the quantityat which its
marginalrevenue equalsitsmarginalcost,MR = MC .
b) As firms enterthe industry,each existingfirm loses some of
itsmarket share.The demand foritsproductdecreases and
the demand curve foritsproductshiftsleftward.
c) The decrease indemand decreases the quantityat which MR
= MC and lowers the maximum pricethatthe firm can
charge to sellthisquantity.Priceand quantityfallwith firm
entryuntilP = ATC and firms earn zero economic profit.
2. Figure 13.2b (page 282) shows a long-run equilibrium output
and pricefora firm inmonopolisticcompetition.
3. Iffirms incuran economic loss,firms exitto restorethe long-run
equilibrium justdescribed.
6 199
2 0 0 C H A P T E R 1 3
C. MonopolisticCo mpetition and Efficiency
1. Firms inmonopolisticare inefficientand operate with excess
capacity.
2. Figure 13.3 (page 283) illustratesthese propositions.
a) Because they productdifferentiateand face a downward-
sloping demand curve fortheirproducts,firms in
monopolisticcompetitionreceive a marginalrevenue thatis
lessthan price,MR < P,foralllevelsofoutput.
b) Firms maximize profitby settingmarginalrevenue equalto
marginalcost,MR = MC ,so with marginalrevenue lessthan
price,MR < P,marginalcostislessthan price,MC < P.
Because priceequalsthe marginalbenefit,P = MB ,marginal
costislessthan marginalbenefit,MC < MB .
Underproduction inmonopolisticcompetitioncreates
deadweight loss.
3. A firm’scapacity output isthe outputat which average total
costisat itsminimum. At the long-run profitmaximizing output
MR = MC and P = ATC. But recallthatMR < P,which means that
MC < ATC.Also recall(from Chapter10) thatifMC < ATC,then
ATC fallsas outputincrease.Ifoutputisinthe range offalling
ATC,outputmust be lessthan capacityoutput.Goods are not
produced at the minimum unitcostofproduction inthe long
run.
III. Product Development and Marketing
A. Innovation and Product Development
1. We’ve looked at a firm’sprofitmaximizing output decisioninthe
shortrun and the long run ofa given productand with given
marketing effort.To keep earning an economic profit,a firm in
200
monopolisticcompetitionmust be ina stateof continuous
productdevelopment.
2. New productdevelopment allows a firm to gain a competitive
edge, ifonly temporarily,before competitorsimitatethe
innovation.
3. Innovation iscostly,but italso increases totalrevenue.
a) Firms pursue productdevelopment untilthe marginal
revenue from innovation equalsthe marginaldevelopment
cost.
4. Production development may benefitthe consumer by providing
improvements inproductquality,or itmay mislead the
consumer by giving only the appearance ofchange inproduct
quality.Regardlessof whether a productimprovement isrealor
imagined,itsvalue to the consumer isitsmarginalbenefit,
which isthe amount the consumer iswillingto pay forthe
improvement.
B. Marketing
1. A firm’smarketing program uses advertisingand packaging as
the two principalmethods to market itsdifferentiated products
to consumers.
2. Firms inmonopolisticcompetitionincurheavy marketing and
advertisingexpendituresto enhance the perception of quality
differences between theirproductand rivalproducts.These
costsmake up a large portionof the priceforthe product.
Figure 13.4 (page 285) shows estimates ofthe percentage of
salepricefordifferentmonopolisticcompetitionmarkets.
3. SellingCostsand TotalCosts
a) Sellingcosts,likeadvertisingexpenditures,fancy retail
buildings,etc.are fixed costs.Average fixed costsdecrease
as production increases,so sellingcostsincrease average
6 201
2 0 2 C H A P T E R 1 3
totalcostsat any given levelofoutput but do not affectthe
marginalcostofproduction.
b) Sellingeffortssuch as advertisingare successfulifthey
increase demand forthe firm’sproduct.But a firm’sdemand
and profitscan only increase inthe shortrun.Economic
profitslead to the entryof more firms,which decrease the
demand foreach firm’sproductinthe long run.
4. To the extentthatadvertisingand sellingcostsprovide
consumers with information and servicesthatthey value more
highlythan theircost,these activitiesare efficient.
IV. Oligopoly
A. Oligopoly isa market inwhich a smallnumber of firms compete.
1. Inoligopoly,the quantitysold by one firm depends on the firm’s
own priceand the pricesand quantitiessold by the otherfirms.
2. The response of otherfirms to a firm’spriceand output
influence the firm’sprofitmaximizing decision.
B. The Kinked De mand Curve Model
1. Inthe kinked demand curve model ofoligopoly,each firm
believes thatifitraisesitsprice,itscompetitorswillnot follow,
but ifitlowers itspriceallof itscompetitorswillfollow.
2. Figure 13.6 (page 287) shows the kinked demand curve model.
a) The demand curve thata firm believes itfaces has a kink at
the currentpriceand quantity.Above the kink,demand is
relativelyelasticbecause allotherfirm’spricesremain
unchanged; and below the kink,demand isrelatively
202
inelasticbecause allotherfirm’spriceschange inlinewith
the priceofthe firm shown inthe figure.
b) The kink inthe demand curve means thatthe MR curve is
discontinuous at the currentquantity.FluctuationsinMC
thatremain withinthe discontinuous portionofthe MR curve
leave the profit-maximizing quantityand priceunchanged.
3. The beliefsthatgenerate the kinked demand curve are not
always correctand firms can figureout thisfact:ifMC increases
enough, allfirms raisetheirpricesand the kink vanishes.A firm
thatbases itsactionson wrong beliefsdoesn’tmaximize profit.
C. Do minant Firm Oligopoly
1. Ina dominant firm oligopoly,there isone large firm thathas a
significantcostadvantage over many other,smallercompeting
firms.
a) The large firm operates as a monopoly,settingitspriceand
output to maximize itsprofit.
b) The smallfirms actas perfectcompetitors,taking as given
the market pricesetby the dominant firm.
2 Figure 13.7 (page 288) shows a dominant firm industry.
V. Oligopoly Games
A. Game theory isa toolforstudying strategicbehavior,which is
behaviorthattakes intoaccount the expected behaviorofothers
and the mutual recognitionofinterdependence.
B. What Is a Ga me?
1. Allgames share fourfeatures:
a) rules,
6 203
2 0 4 C H A P T E R 1 3
b) strategies,
c) payoffs,and
d) an outcome.
C. The Prisoners’ Dilem ma
1. The prisoners’dilemma game illustratesthe fourfeaturesofa
game.
a) The rulesdescribe the settingofthe game, the actionsthe
playersmay take,and the consequences ofthose actions.
i) Inthe prisoners’dilemma game, two prisoners(Art
and Bob) have been caught com mitting a petty
crime.
ii) Each isheld ina separate celland cannot
com municate with each other.
iii)Each istoldthatboth are suspected ofcom mitting a
more seriouscrime ifone ofthem confesses,he will
get a 1-year sentence forcooperating whilehis
accomplice get a 10-year sentence forboth crimes.If
both confess to the more seriouscrime,each
receives3 years injailforboth crimes.Ifneither
confesses,each receivesa 2-year sentence forthe
minor crime only.
b) The strategies forboth prisonersare to eitherto confess or
deny com mitting the seriouscrime.
c) The game’s payoff matrix isa table,likethe one inTable
13.1 (page 290),thatshows the payoffsforevery possible
action by each playerforevery possibleaction by the other
player.
i) Art’spayofffrom each combination ofactionsis
shown inthe top ofeach payoffbox,and Bob’s is
shown as the bottom ofeach payoffbox.
204
ii) There are fourpossibleoutcomes: Bob and Artboth
confess (top leftbox),both Bob and Artdeny (bottom
rightbox),Bob confesses but Artdoes not (top right
box),and Artconfesses but Bob does not (bottom left
box).
d) Ifa playermakes a rationalchoice inpursuitofhisown best
interest,he chooses the action thatisbestforhim, given
any action taken by the otherplayer.Ifboth playersare
rationaland choose theiractionsinthisway, the outcome is
an equilibrium calledNash equilibrium —firstproposed by
John Nash.
2. Inthe prisoners’dilemma game, the beststrategy isforeach
prisonerto confess.RegardlessofBob’s decision,Art’sbest
outcome occursby confessing.RegardlessofArt’sdecision,
Bob’s bestoutcome occurs by confessing.So both prisoners
confess and each gets 3 years injailforcom mitting both crimes.
3. Thisoutcome isnot the bestforeitherplayer.Both players
would be betteroffifeach had denied.But because they can’t
com municate about theirdecisions,there isno way to strikea
dealthatenables them to cooperate and get the bestjoint
outcome.
D. An Oligopoly Price-Fixing Ga me
1. A game likethe prisoners’dilemma isplayed induopoly.A
duopoly isa market inwhich there are only two producers that
compete.Duopoly captures the essence of oligopoly.
2. Figure 13.8 (page 291) describesthe demand and cost
conditionsina naturalduopoly.Given the market demand, two
firms can produce the good at a lower average totalcostthan
eitherone firm or three firms.
6 205
2 0 6 C H A P T E R 1 3
3. The firms ina duopoly can enterintoa collusive agreement in
which two (ormore) competitorsagree to restrictoutput,raise
the price,and increase profits.Firms thathave entered intoa
collusiveagreement have formed a cartel .(Cartelsare illegalin
the United States.)
4. Ina cartel,each firm has two strategies:comply with the
agreement or cheat.
a) Ifboth firms comply,they maximize industryprofitby
producing the same outputas a monopoly would,charging
the monopoly price,and sharing the resultingeconomic
profit.Figure 13.9 (page 292) shows thisoutcome.
206
b) Ifone firm cheats and the othercomplies,the firm that
compliesincursan economic loss,and the firm thatcheats
makes an economic profitthatislargerthan itsshare ofthe
maximum industryprofitifitcomplies.Figure 13.10 (page
293)shows thisoutcome: part(a)shows the complier’sloss
and part(b)shows the cheat’seconomic profit.
c) Ifboth firms cheat,they each earn normal profit(zero
economic profit).Figure 13.11 (page 294) shows this
outcome.
6 207
2 0 8 C H A P T E R 1 3
5. Table 13.2 (page 295) shows the payoffmatrixforthisgame.
The Nash equilibrium iswhere both firms cheat,the quantity
and priceare those of a competitivemarket,and the firms earn
normal profit.
6. Ifboth firms cheat,they each earn normal profit(zeroeconomic
profit).Figure 13.11 (page 294) shows thisoutcome.
208
7. A similarprisoner’sdilemma research and development game
describesthe outcome inthe market fordisposable diapers.
Table 13.3 (page 296) describesthe payoffmatrixforthisgame.
VI. Repeated Games and Sequential Games
A. A Repeated Duopoly Ga me
1. Ifa game isplayed repeatedly,itispossibleforduopoliststo
successfullycollude and earn a monopoly profit.Ifthe players
6 209
2 1 0 C H A P T E R 1 3
take turns and move sequentially(ratherthan simultaneouslyas
inthe prisoner’sdilemma, many outcomes are possible.
2. Ina repeated prisoners’dilemma duopoly game, additional
punishment strategiesenable the firms to comply and achieve a
cooperative equilibrium ,inwhich the firms make and share
the monopoly profit.
a) One possiblepunishment strategy isa tit-for-tatstrategy,in
which one playercooperates thisperiod ifthe otherplayer
cooperated inthe previous period but cheats inthe current
period ifthe otherplayercheated inthe previous period.
b) A more severe punishment strategy isa triggerstrategy in
which a playercooperates ifthe otherplayercooperates but
plays the Nash equilibrium strategy foreverthereafterifthe
otherplayercheats.
3. Table 13.4 (page 297) shows thata tit-for-tatstrategy is
sufficientto produce a cooperativeequilibrium ina repeated
duopoly game.
4. Pricewars might resultfrom a tit-for-tatstrategy where there is
an additionalcomplication—uncertaintyabout changes in
demand. A fallindemand might lower the priceand bring forth
a round oftit-for-tatpunishment.
B. A SequentialEntry Ga me in a Contestable Market
1. Ina contestable market —a market inwhich firms can enter
and leave so easilythatfirms inthe market face competition
from potentialentrants—firms play a sequentialentrygame.
2. Figure 13.12 (page 299) shows the game tree fora sequential
entrygame ina contestablemarket.
210
a) Inthisentrygame, the firm inthe market setsa competitive
priceand earns a normal profitto keep the potentialentrant
out.
b) A lesscostlystrategy islimit pricing ,which setsthe priceat
the highestlevelthatisconsistentwith keeping the potential
entrantout.
6 211

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Ch13

  • 1. 1 3 MONOPOLISTIC COMPETITION AND OLIGOPOLY O u t l i n e PC War Games A. Each PC maker tellsus thatthey have the bestproductat the best price. B. Justtwo big chip makers produce almost allthe processorand me mory chips inour PCs. C. Firms inthese markets are neitherpricetakerslikethose inperfect competition,nor are they protected from competitionby barriersto entrylikea monopoly.How do such firms choose the quantityto produce and price? I. Monopolistic Competition A. Monopolistic competition isa market with the following characteristics: 1. There are a large number offirms,with each firm producing a differentiatedproduct. 2. Firms compete on productquality,price,and marketing. 3. Firms are free to enterand exitthe industry. B. MonopolisticCo mpetition The presence ofa large number offirms inthe market implies: 197 C h a p t e r
  • 2. 1 9 8 C H A P T E R 1 3 1. Each firm has only a smallmarket share and thereforehas limited market power to influence the priceof itsproduct. 2. Each firm issensitiveto the average market price,but no firm pays attentionto the actionsofthe other,and no one firm’s actionsdirectlyaffectthe actionsofotherfirms. 3. Collusion ,or conspiringto fixprices,isimpossible. C. Product Differentiation Firms inmonopolisticcompetitionpracticeproduct differentiation ,which means thateach firm makes a productthat isslightlydifferentfrom the productsofcompeting firms. D. Competing on Quality,Price, and Marketing Productdifferentiationenables firms to compete inthree areas: quality,price,and marketing. 1. Qualityincludes design,reliability,and service. 2. Because firms produce differentiatedproducts,each firm has a downward-sloping demand curve foritsown product.But there isa tradeoffbetween priceand quality. 3. Differentiatedproductsmust be marketed using advertisingand packaging. E. Entryand Exit There are no barriersto entryinmonopolisticcompetition,so firms cannot earn an economic profitinthe long run. F. Entry and Exit Figure 13.1 (page 281) shows market share of the largestfourfirms and the HHI foreach often industriesthatoperate inmonopolistic competition. II. Output and Price in Monopolistic Competition A. Short-Run Econo mic Profit 1. A firm thathas decided the qualityofitsproductand its marketing program produces the profitmaximizing quantityat which itsmarginalrevenue equalsitsmarginalcost(MR = MC ). 198
  • 3. a) Priceisdetermined from the demand curve forthe firm’s productand isthe highestpricethe firm can charge forthe profit-maximizing quantity. b) A firm inmonopolisticcompetitioncan earn an economic profitinthe shortrun if:P > ATC.Itoperates much likea single-pricemonopolist. 2. Figure 13.2a (page 282) shows a short-run equilibrium output and pricefora firm inmonopolisticcompetition. B. Long Run: Zero Econo mic Profit 1. Inthe long run,economic profitinduces entry.And entry continues as long as firms inthe industryearn an economic profit—as long as (P > ATC). a) Inthe long run,a firm inmonopolisticcompetition maximizes itsprofitby producing the quantityat which its marginalrevenue equalsitsmarginalcost,MR = MC . b) As firms enterthe industry,each existingfirm loses some of itsmarket share.The demand foritsproductdecreases and the demand curve foritsproductshiftsleftward. c) The decrease indemand decreases the quantityat which MR = MC and lowers the maximum pricethatthe firm can charge to sellthisquantity.Priceand quantityfallwith firm entryuntilP = ATC and firms earn zero economic profit. 2. Figure 13.2b (page 282) shows a long-run equilibrium output and pricefora firm inmonopolisticcompetition. 3. Iffirms incuran economic loss,firms exitto restorethe long-run equilibrium justdescribed. 6 199
  • 4. 2 0 0 C H A P T E R 1 3 C. MonopolisticCo mpetition and Efficiency 1. Firms inmonopolisticare inefficientand operate with excess capacity. 2. Figure 13.3 (page 283) illustratesthese propositions. a) Because they productdifferentiateand face a downward- sloping demand curve fortheirproducts,firms in monopolisticcompetitionreceive a marginalrevenue thatis lessthan price,MR < P,foralllevelsofoutput. b) Firms maximize profitby settingmarginalrevenue equalto marginalcost,MR = MC ,so with marginalrevenue lessthan price,MR < P,marginalcostislessthan price,MC < P. Because priceequalsthe marginalbenefit,P = MB ,marginal costislessthan marginalbenefit,MC < MB . Underproduction inmonopolisticcompetitioncreates deadweight loss. 3. A firm’scapacity output isthe outputat which average total costisat itsminimum. At the long-run profitmaximizing output MR = MC and P = ATC. But recallthatMR < P,which means that MC < ATC.Also recall(from Chapter10) thatifMC < ATC,then ATC fallsas outputincrease.Ifoutputisinthe range offalling ATC,outputmust be lessthan capacityoutput.Goods are not produced at the minimum unitcostofproduction inthe long run. III. Product Development and Marketing A. Innovation and Product Development 1. We’ve looked at a firm’sprofitmaximizing output decisioninthe shortrun and the long run ofa given productand with given marketing effort.To keep earning an economic profit,a firm in 200
  • 5. monopolisticcompetitionmust be ina stateof continuous productdevelopment. 2. New productdevelopment allows a firm to gain a competitive edge, ifonly temporarily,before competitorsimitatethe innovation. 3. Innovation iscostly,but italso increases totalrevenue. a) Firms pursue productdevelopment untilthe marginal revenue from innovation equalsthe marginaldevelopment cost. 4. Production development may benefitthe consumer by providing improvements inproductquality,or itmay mislead the consumer by giving only the appearance ofchange inproduct quality.Regardlessof whether a productimprovement isrealor imagined,itsvalue to the consumer isitsmarginalbenefit, which isthe amount the consumer iswillingto pay forthe improvement. B. Marketing 1. A firm’smarketing program uses advertisingand packaging as the two principalmethods to market itsdifferentiated products to consumers. 2. Firms inmonopolisticcompetitionincurheavy marketing and advertisingexpendituresto enhance the perception of quality differences between theirproductand rivalproducts.These costsmake up a large portionof the priceforthe product. Figure 13.4 (page 285) shows estimates ofthe percentage of salepricefordifferentmonopolisticcompetitionmarkets. 3. SellingCostsand TotalCosts a) Sellingcosts,likeadvertisingexpenditures,fancy retail buildings,etc.are fixed costs.Average fixed costsdecrease as production increases,so sellingcostsincrease average 6 201
  • 6. 2 0 2 C H A P T E R 1 3 totalcostsat any given levelofoutput but do not affectthe marginalcostofproduction. b) Sellingeffortssuch as advertisingare successfulifthey increase demand forthe firm’sproduct.But a firm’sdemand and profitscan only increase inthe shortrun.Economic profitslead to the entryof more firms,which decrease the demand foreach firm’sproductinthe long run. 4. To the extentthatadvertisingand sellingcostsprovide consumers with information and servicesthatthey value more highlythan theircost,these activitiesare efficient. IV. Oligopoly A. Oligopoly isa market inwhich a smallnumber of firms compete. 1. Inoligopoly,the quantitysold by one firm depends on the firm’s own priceand the pricesand quantitiessold by the otherfirms. 2. The response of otherfirms to a firm’spriceand output influence the firm’sprofitmaximizing decision. B. The Kinked De mand Curve Model 1. Inthe kinked demand curve model ofoligopoly,each firm believes thatifitraisesitsprice,itscompetitorswillnot follow, but ifitlowers itspriceallof itscompetitorswillfollow. 2. Figure 13.6 (page 287) shows the kinked demand curve model. a) The demand curve thata firm believes itfaces has a kink at the currentpriceand quantity.Above the kink,demand is relativelyelasticbecause allotherfirm’spricesremain unchanged; and below the kink,demand isrelatively 202
  • 7. inelasticbecause allotherfirm’spriceschange inlinewith the priceofthe firm shown inthe figure. b) The kink inthe demand curve means thatthe MR curve is discontinuous at the currentquantity.FluctuationsinMC thatremain withinthe discontinuous portionofthe MR curve leave the profit-maximizing quantityand priceunchanged. 3. The beliefsthatgenerate the kinked demand curve are not always correctand firms can figureout thisfact:ifMC increases enough, allfirms raisetheirpricesand the kink vanishes.A firm thatbases itsactionson wrong beliefsdoesn’tmaximize profit. C. Do minant Firm Oligopoly 1. Ina dominant firm oligopoly,there isone large firm thathas a significantcostadvantage over many other,smallercompeting firms. a) The large firm operates as a monopoly,settingitspriceand output to maximize itsprofit. b) The smallfirms actas perfectcompetitors,taking as given the market pricesetby the dominant firm. 2 Figure 13.7 (page 288) shows a dominant firm industry. V. Oligopoly Games A. Game theory isa toolforstudying strategicbehavior,which is behaviorthattakes intoaccount the expected behaviorofothers and the mutual recognitionofinterdependence. B. What Is a Ga me? 1. Allgames share fourfeatures: a) rules, 6 203
  • 8. 2 0 4 C H A P T E R 1 3 b) strategies, c) payoffs,and d) an outcome. C. The Prisoners’ Dilem ma 1. The prisoners’dilemma game illustratesthe fourfeaturesofa game. a) The rulesdescribe the settingofthe game, the actionsthe playersmay take,and the consequences ofthose actions. i) Inthe prisoners’dilemma game, two prisoners(Art and Bob) have been caught com mitting a petty crime. ii) Each isheld ina separate celland cannot com municate with each other. iii)Each istoldthatboth are suspected ofcom mitting a more seriouscrime ifone ofthem confesses,he will get a 1-year sentence forcooperating whilehis accomplice get a 10-year sentence forboth crimes.If both confess to the more seriouscrime,each receives3 years injailforboth crimes.Ifneither confesses,each receivesa 2-year sentence forthe minor crime only. b) The strategies forboth prisonersare to eitherto confess or deny com mitting the seriouscrime. c) The game’s payoff matrix isa table,likethe one inTable 13.1 (page 290),thatshows the payoffsforevery possible action by each playerforevery possibleaction by the other player. i) Art’spayofffrom each combination ofactionsis shown inthe top ofeach payoffbox,and Bob’s is shown as the bottom ofeach payoffbox. 204
  • 9. ii) There are fourpossibleoutcomes: Bob and Artboth confess (top leftbox),both Bob and Artdeny (bottom rightbox),Bob confesses but Artdoes not (top right box),and Artconfesses but Bob does not (bottom left box). d) Ifa playermakes a rationalchoice inpursuitofhisown best interest,he chooses the action thatisbestforhim, given any action taken by the otherplayer.Ifboth playersare rationaland choose theiractionsinthisway, the outcome is an equilibrium calledNash equilibrium —firstproposed by John Nash. 2. Inthe prisoners’dilemma game, the beststrategy isforeach prisonerto confess.RegardlessofBob’s decision,Art’sbest outcome occursby confessing.RegardlessofArt’sdecision, Bob’s bestoutcome occurs by confessing.So both prisoners confess and each gets 3 years injailforcom mitting both crimes. 3. Thisoutcome isnot the bestforeitherplayer.Both players would be betteroffifeach had denied.But because they can’t com municate about theirdecisions,there isno way to strikea dealthatenables them to cooperate and get the bestjoint outcome. D. An Oligopoly Price-Fixing Ga me 1. A game likethe prisoners’dilemma isplayed induopoly.A duopoly isa market inwhich there are only two producers that compete.Duopoly captures the essence of oligopoly. 2. Figure 13.8 (page 291) describesthe demand and cost conditionsina naturalduopoly.Given the market demand, two firms can produce the good at a lower average totalcostthan eitherone firm or three firms. 6 205
  • 10. 2 0 6 C H A P T E R 1 3 3. The firms ina duopoly can enterintoa collusive agreement in which two (ormore) competitorsagree to restrictoutput,raise the price,and increase profits.Firms thathave entered intoa collusiveagreement have formed a cartel .(Cartelsare illegalin the United States.) 4. Ina cartel,each firm has two strategies:comply with the agreement or cheat. a) Ifboth firms comply,they maximize industryprofitby producing the same outputas a monopoly would,charging the monopoly price,and sharing the resultingeconomic profit.Figure 13.9 (page 292) shows thisoutcome. 206
  • 11. b) Ifone firm cheats and the othercomplies,the firm that compliesincursan economic loss,and the firm thatcheats makes an economic profitthatislargerthan itsshare ofthe maximum industryprofitifitcomplies.Figure 13.10 (page 293)shows thisoutcome: part(a)shows the complier’sloss and part(b)shows the cheat’seconomic profit. c) Ifboth firms cheat,they each earn normal profit(zero economic profit).Figure 13.11 (page 294) shows this outcome. 6 207
  • 12. 2 0 8 C H A P T E R 1 3 5. Table 13.2 (page 295) shows the payoffmatrixforthisgame. The Nash equilibrium iswhere both firms cheat,the quantity and priceare those of a competitivemarket,and the firms earn normal profit. 6. Ifboth firms cheat,they each earn normal profit(zeroeconomic profit).Figure 13.11 (page 294) shows thisoutcome. 208
  • 13. 7. A similarprisoner’sdilemma research and development game describesthe outcome inthe market fordisposable diapers. Table 13.3 (page 296) describesthe payoffmatrixforthisgame. VI. Repeated Games and Sequential Games A. A Repeated Duopoly Ga me 1. Ifa game isplayed repeatedly,itispossibleforduopoliststo successfullycollude and earn a monopoly profit.Ifthe players 6 209
  • 14. 2 1 0 C H A P T E R 1 3 take turns and move sequentially(ratherthan simultaneouslyas inthe prisoner’sdilemma, many outcomes are possible. 2. Ina repeated prisoners’dilemma duopoly game, additional punishment strategiesenable the firms to comply and achieve a cooperative equilibrium ,inwhich the firms make and share the monopoly profit. a) One possiblepunishment strategy isa tit-for-tatstrategy,in which one playercooperates thisperiod ifthe otherplayer cooperated inthe previous period but cheats inthe current period ifthe otherplayercheated inthe previous period. b) A more severe punishment strategy isa triggerstrategy in which a playercooperates ifthe otherplayercooperates but plays the Nash equilibrium strategy foreverthereafterifthe otherplayercheats. 3. Table 13.4 (page 297) shows thata tit-for-tatstrategy is sufficientto produce a cooperativeequilibrium ina repeated duopoly game. 4. Pricewars might resultfrom a tit-for-tatstrategy where there is an additionalcomplication—uncertaintyabout changes in demand. A fallindemand might lower the priceand bring forth a round oftit-for-tatpunishment. B. A SequentialEntry Ga me in a Contestable Market 1. Ina contestable market —a market inwhich firms can enter and leave so easilythatfirms inthe market face competition from potentialentrants—firms play a sequentialentrygame. 2. Figure 13.12 (page 299) shows the game tree fora sequential entrygame ina contestablemarket. 210
  • 15. a) Inthisentrygame, the firm inthe market setsa competitive priceand earns a normal profitto keep the potentialentrant out. b) A lesscostlystrategy islimit pricing ,which setsthe priceat the highestlevelthatisconsistentwith keeping the potential entrantout. 6 211