6)Game Theory: The Prisoners’ Dilemma: Assume that the Wilson and Spalding athletic equipment companies are in a one-shot game for market share and profits, but that they have the option of choosing only one of two possible price strategies for basketballs: $20 or $80. Obviously if they choose different strategies, the firm with the lower price will win the entire market.  The firms face the following payoff matrix (See Chap. 10).              Wilson\ \Spalding Wilson $ 20 Price Wilson $ 80 Price Spalding $ 20 Price   $ 400,  $ 400     $ 1500,  $ 0   Spalding $ 80 Price   $ 0,  $ 1500     $ 1000, $ 1000               What strategy will each firm choose?  Why?  Which strategy is dominant?  Which strategy is preferred by each firm?  What will be the outcome of the one-shot game?  Where is the Nash equilibrium?  Which outcome would be best for the two firms?  What will happen if the game is repeated an infinite number of times?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter26: Monopolistic Competition And Oligopoly
Section: Chapter Questions
Problem 13E
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6)Game Theory: The Prisoners’ Dilemma: Assume that the Wilson and Spalding athletic equipment companies are in a one-shot game for market share and profits, but that they have the option of choosing only one of two possible price strategies for basketballs: $20 or $80. Obviously if they choose different strategies, the firm with the lower price will win the entire market.  The firms face the following payoff matrix (See Chap. 10).

 

 

         Wilson\

\Spalding

Wilson

$ 20 Price

Wilson

$ 80 Price

Spalding

$ 20 Price

 

$ 400,  $ 400

 

 

$ 1500,  $ 0

 

Spalding

$ 80 Price

 

$ 0,  $ 1500

 

 

$ 1000, $ 1000

 

            What strategy will each firm choose?  Why?  Which strategy is dominant?  Which strategy is preferred by each firm?  What will be the outcome of the one-shot game?  Where is the Nash equilibrium?  Which outcome would be best for the two firms?  What will happen if the game is repeated an infinite number of times?

 

 

 

 

 

 

 

 

 

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