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?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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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