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Course informa-on Final exam: Tuesday, 12/11 4 6 in Machmer W 15 If you have a conflict, go the the Registrar’s office and they will give you a form saying which exam can be changed. Final exam will cover the chapters on perfect compe--on, monopoly, monopolis-c compe--on up to page 329 only and oligopoly up to page 350 (‘Other Oligopoly Games’).

Courseinformaon - UMasscourses.umass.edu/econ103/f12_103h_l20p2.pdf · Courseinformaon ’’ ... Game Theory • What Is a ... – Week 2: Airbus punishes Boeing and produces 4 planes

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Course  informa-on    

•  Final  exam:    Tuesday,  12/11  4    -­‐6  in  Machmer  W  15  

•  If  you  have  a  conflict,  go  the  the  Registrar’s  office  and  they  will  give  you  a  form  saying  which  exam  can  be  changed.  

•  Final  exam  will  cover  the  chapters  on  perfect  compe--on,  monopoly,  monopolis-c  compe--on  up  to  page  329  only  and  oligopoly  up  to  page  350  (‘Other  Oligopoly  Games’).      

To  do  today  

•  One  last  look  at  monopolis-c  compe--on  

•  What  does  the  US  economy  look  like?    Indicators  of  compe--on  

•  What  is  oligopoly  and  how  is  it  related  to  related  to              

•  è  

–  Four-­‐Firm  Concentra/on  Ra/o  –  The  percentage  of  the  value  of  sales  accounted  for  by  the  four  largest  firms  in  the  industry.  

– Herfindahl-­‐  Hirschman  Index  •  A  ra-o  that  exceeds  60  percent  is  an  indica-on  of  oligopoly.  •  A  ra-o  of  less  than  40  percent  is  an  indica-on  of  a  compe--ve  market—monopolis-c  compe--on.  

•  Range  goes  down  to  almost  zero  –  close  to  perfect  compe--on  –  for  a  few  sectors  

How  do  we  know  the  market  structure?    

– The  square  of  the  percentage  market  share  of  each  firm  summed  over  the  largest  50  firms  in  a  market.  

– A  market  with  an  HHI  less  than  1,000  is  regarded  as  compe--ve  and  between  1,000  and  1,800  is  moderately  compe--ve.  

Herfindahl-­‐Hirschman  Index    (HHI)  

Concentra-on  ra-os    and  H-­‐H  Index,  2002  

Sector   #  Companies   %  of  All   Herfindahl-­‐  Shipments   Hirschman  

Food   23334   100  4  largest   16.8  8  largest   25.4  20  largest   39.8  50  largest   53.1   118.7  

Chocolate   138   100  4  largest   69  8  largest   87.9  20  largest   96.7  50  largest   98.8   1793.1  

Petroleum  manufacturing   43   100  4  largest   84.7  8  largest   93.9  20  largest   99.7  50  largest   100   2651.6  

Computer  equipment  4  largest   1517  8  largest   49.5  20  largest   65.2  50  largest   80  

88.3   1183.3  Apparel    cut  and  sew   7170  4  largest   5.3  8  largest   8.3  20  largest   13.9  50  largest   22.6   15.5  

Adver-sing  costs  and  total  costs  

Adver-sing  expenditures  increase  the  costs  of  a  monopolis-cally  compe--ve  firm  above  those  of  a  perfectly  compe--ve  firm  or  a  monopoly.    Adver-sing  costs  are  fixed  costs.                    Adver-sing  costs  per  unit  decrease  as                      produc-on  increases.    

1.  When  adver-sing  costs  are  added  to    

2.  The  average  total  cost  of  produc-on,    

3.  Average  total  cost  increases  by  a  greater  amount  at  small  outputs  than  at  large  outputs.  

Effect  of  adver-sing  cost  on  total  cost  

–  Adver-sing  and  other  selling  efforts  change  the  demand  for  a  firm’s  product.  

–  The  effects  are  complex:  •  A  firm’s  own  adver-sing  increases  the  demand  for  its  product.  

•  Adver-sing  by  all  firms  might  decrease  the  demand  for  any  one  firm’s  product  and  might  make  demand  more  elas-c.  

–  The  price  and  markup  might  fall.  

Adver-sing  (selling)  costs  and  demand  

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No  adver-sing  graphically  

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Effects  of  adver-sing  graphically  

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Why  adver-se?  Signaling  quality    

–  Some  adver-sing  is  very  costly  and  has  almost  no  informa-on  content  about  the  item  being  adver-sed.  

 –  Such  adver-sing  is  used  to  signal  high  quality.  

 –  Signaling  works  because  it  is  profitable  to  signal  high  quality  and  deliver  it  but  unprofitable  to  signal  a  high  quality  product  and  not  deliver  it.    

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Efficiency  of  adver-sing  and  brand  names  

Adver-sing  and  brand  name  can  be  efficient  if  the  marginal  cost  of  the  informa-on  equals  its  marginal  benefit.    The  final  verdict  on  the  efficiency  of  monopolis-c  compe--on  is  ambiguous:  there  are  benefits  (consumer  choice  of  differen-ated  products)  and  costs  (deadweight  loss  and  higher  than  minimum  ATC)  

1.  The  efficient  scale  is  100  pairs  of  Tommy  jeans  a  day.  

2.  The  firm  produces  less  than  the  efficient  scale  and  has  excess  capacity.  

3.  Price  exceeds  4.  marginal  cost  by  the  amount  of    5.  the  markup.  

6.  Deadweight  loss  arise.  

Monopolis-c  compe--on:  long  run  

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Important  note  on  efficiency  •  More  than  one  defini-ons  is  used  

•  MC    =    MB    (and  P  in  perfect  compe--on  but  not  otherwise  

•  This  gives  deadweight  loss  (i.e.,  less  than  maximum  consumer  and  surplus)  

•  Also  though:    point  of  lowest  ATC    -­‐    used  just  now  in  the  discussion  of  monopolis-c  compe--on  

Introduc-on  to  oligopoly  •  Core  concept    -­‐    interdependence  of  firm  decisions  

•  Structure  –  only  a  few  firms  

•  Interdependence  –  if  one  firm  lowers  its  price,  others  must  do  the  same  to  keep  its  customers  

•  Asymmetry  –  but  if  one  firm  raises  price,  others  won’t  and  that  firm  loses  customers  

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– Temptation to Collude – When a small number of firms share a market,

they can increase their profit by forming a cartel and acting like a monopoly.

– Cartel is a group of firms acting together to limit output, raise price, and increase economic profit.

–  Illegal but they do operate in some markets – Tend to collapse

Collusion and Cartels

Interdependence  

•  Firms  are  involved  in  a  game  with  each  other  

•  The  game  is  to  set  a  price  taking  into  account  all  the  moves  by  the  other  players  

•  You  know  that  other  firms  will  respond  to  you  moves  on  price  

Interdependence and the Kinked Demand Curve

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Interdependence  and  uncertainty  

•  In  oligopoly,  the  equilibrium  may  not  be  unique  and  may  not  even  exist  

•  Far  from  the  neat  intersec-on  of  the  S  and  D  curves  defining  a  unique  and  stable  equilibrium  

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Barriers to Entry

– Natural or legal barriers to entry can create an oligopoly.

– Natural: arise from the combination of the demand for a product and economies of scale in producing it.

Game Theory

•  What Is a Game? – All games involve three features:

•  Rules •  Strategies •  Payoffs

– Prisoners’ dilemma is a game between two prisoners that shows why it is hard to cooperate, even when it would be beneficial to both players to do so.

The  ‘Beau-ful  Mind’  game  

•  If  all  players  go  for  the  blonde,  only  one  will  get  a  date  with  her  

•  The  others  will  find  that  the  neglected  women  won’t  want  to  be  the  second  to  be  asked  for  a  date  and  will  refuse  

•  Therefore  it  is  bemer  not  to  go  for  the  blonde  knowing  what  happens  when  they  all  do  

The Prisoner’s Dilemma game

– Art and Bob been caught stealing a car: sentence is 2 years in jail.

– DA wants to convict them of a big bank robbery: sentence is 10 years in jail.

– DA has no evidence and to get the conviction, he makes the prisoners play a game.

Rules of the game and payoffs

– Players cannot communicate with one another before decide whether to confess to robbery

•  Both confess: both get 3 years •  One confesses: confessor gets 1 year but

accomplice gets 10 years •  Neither confesses: both get a 2-year sentence

Equilibrium

– When each player takes the best possible action given the action of the other player.

– Nash equilibrium: each player takes the best possible action given the action of the other player.

– The Nash equilibrium for Art and Bob is to confess.

– The equilibrium of the prisoners’ dilemma is not the best outcome for the players.

The  payoff  matrix  

Collusion is Difficult – The duopolists’ dilemma explains why it is

difficult for firms to collude and achieve the maximum monopoly profit.

–  Individually rational for each firm to cheat on a collusive agreement and increase output.

– Collectively irrational to cheat – lowers profit for both.

– How does OPEC succeed? A leading member – Saudi Arabia

– Coke and Pepsi have two strategies: advertise or not advertise.

Table  shows  the  payoff  matrix  as  the  economic  profits  for  each  firm  in  each  possible  outcome.  

Advertising Game

– The Nash equilibrium for this game is for both firms advertise.

But  they  could  earn  a  larger  joint  profit  if  they  could  collude  and  not  adver/se.  

 

Nash Equilibrium

The Duopolists’ Dilemma

– The dilemma of Boeing and Airbus is similar to that of Art and Bob.

– Each firm has two strategies. It can produce airplanes at the rate of:

•  3 a week •  4 a week

The Duopoly Dilemma

– Because each firm has two strategies, there are four possible combinations of actions:

•  Both firms produce 3 a week (monopoly outcome). •  Both firms produce 4 a week. •  Airbus produces 3 a week and Boeing produces 4

a week. •  Boeing produces 3 a week and Airbus produces 4

a week.

– The Payoff Matrix: profits for each firm in each possible outcome.

– Better for both to choose 4 per week

The Payoff Matrix

– Airbus gets $36m – Boeing gets $36m –  (Lower right cell) But  given  that  the  other  is  likely  to  go  for  4  per  week    -­‐  

Airbus  at  4/week  gets  $32m  and  Boeing  $32m  

(upper  leo  cell)  

 

What if cooperated at 3 a week each?

Again: Collusion is Difficult

– The duopolists’ dilemma explains why it is difficult for firms to collude and achieve the maximum monopoly profit.

–  Individually rational for each firm to cheat on a collusive agreement and increase output.

– Collectively irrational to cheat – lowers profit for both.

Advertising and Research Games in Oligopoly

– Advertising campaigns by Coke and Pepsi, and research and development (R&D) competition between Procter & Gamble and Kimberly-Clark are like the prisoners’ dilemma game.

– P&G and Kimberly-Clark have two strategies: spend on R&D or do no R&D. – Table shows the payoff matrix as the economic profits for each firm in each possible outcome.

Research and Development Game

The  Nash  equilibrium  for  this  game  is  for  both  firms  to  undertake  R&D.  

But  they  could  earn  a  larger  joint  profit  if  they  could  collude  and  not  do  R&D.  

Nash Equilibrium

Repeated Games

– Most real-world games get played repeatedly. – Repeated games have a larger number of

strategies because a player can be punished for not cooperating.

– This suggests that real-world duopolists might find a way of learning to cooperate so they can enjoy monopoly profit.

– The next slide shows the payoffs with a “tit-for-tat” response.

– Week 1: Suppose Boeing contemplates producing 4 planes instead of the agreed 3 planes.

– Boeing’s profit will increase from $36 million to $40 million, and Airbus’s profit will decrease from $36 million to $30 million.

A Repeated Boeing/Airbus Game

– Week 2: Airbus punishes Boeing and produces 4 planes.

– But Boeing must go back to producing 3 planes to induce Airbus to cooperate in week 3.

–  In week 2, Boeing’s profit falls to $30 million and Airbus’s profit increases to $40 million.

Second Round of the Game

– Over the two-week period,

– Boeing’s profit would have been $72 million if it had cooperated, but it was only $70 million with Airbus’s tit-for-tat response.

Effect of Tit-for-Tat

Can there be a monopoly outcome?

–  In reality, whether a duopoly works like a one-play game or a repeated game depends on the number of players and the ease of detecting and punishing overproduction.

– The larger the number of players, the harder it is to maintain the monopoly outcome.

Is oligopoly efficient?

•  Is Oligopoly Efficient? –  In oligopoly, price usually exceeds marginal cost. – So the quantity produced is less than the efficient

quantity. – Oligopoly suffers from the same source and type

of inefficiency as monopoly. – Because oligopoly is inefficient, antitrust laws and

regulations are used to try to reduce market power and move the outcome closer to that of competition and efficiency.

The CPU chip in your computer or game box is made by either Intel Corporation or Advanced Micro Devices (AMD). Does competition between these duopolists achieve an efficient outcome—a win for consumers—or just a win for one or both of the producers?

Is Two Too Few?

EYE  on  the  CHIPS  DUOPOLY  

The figure shows that Intel is the big winner. Intel dominates the market. Intel’s prices are generally higher than AMD’s.

Is Two Too Few?

EYE  on  the  CHIPS  DUOPOLY  

In the game that Intel and AMD play, the outcome is closer to monopoly than perfect competition.

Producer surplus is maximized.

Consumer surplus is less than it would be in a competitive market.

There is underproduction and a deadweight loss.

Is Two Too Few?

EYE  on  the  CHIPS  DUOPOLY  

What’s a government to do?

–  Antitrust law is the body of law that regulates and prohibits certain kinds of market behavior, such as monopoly and monopolistic practices.

•  Antitrust Laws – The first antitrust law, the Sherman Act,

passed in 1890. – The Clayton Act of 1914 supplemented the

Sherman Act.

Anti-trust law

Anti-trust law