In Kingston, a certain market is served by the firms Attila and Bando. They have constant average costs of $20 per unit. The firms can choose either a high price ($100) or a low price ($50) for their output. When both firms set a high price, total demand is 10,000 units which is split evenly between the two firms. When both set a low price, total demand is 18,000, which is again split evenly. If one firm sets a low price and the second a high price, the low priced firm sells 15,000 units while the high priced firm sells only 2,000 units. Analyze the pricing decisions of the two firms as a non-cooperative game.

Principles of Economics 2e
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Chapter10: Monopolistic Competition And Oligopoly
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3. In Kingston, a certain market is served by the firms Attila and Bando. They have
constant average costs of $20 per unit. The firms can choose either a high price
($100) or a low price ($50) for their output. When both firms set a high price, total
demand is 10,000 units which is split evenly between the two firms. When both set
a low price, total demand is 18,000, which is again split evenly. If one firm sets a low
price and the second a high price, the low priced firm sells 15,000 units while the
high priced firm sells only 2,000 units. Analyze the pricing decisions of the two firms
as a non-cooperative game.
(a) Construct the payoff matrix for this game, where the payoffs are the two firms'
profits in thousands of dollars.
(b) Find the Nash equilibrium in pure strategies. Is this a dominant strategy
equilibrium? Explain.
(c) Explain why this is an example of the Prisoners' Dilemma game.
Transcribed Image Text:3. In Kingston, a certain market is served by the firms Attila and Bando. They have constant average costs of $20 per unit. The firms can choose either a high price ($100) or a low price ($50) for their output. When both firms set a high price, total demand is 10,000 units which is split evenly between the two firms. When both set a low price, total demand is 18,000, which is again split evenly. If one firm sets a low price and the second a high price, the low priced firm sells 15,000 units while the high priced firm sells only 2,000 units. Analyze the pricing decisions of the two firms as a non-cooperative game. (a) Construct the payoff matrix for this game, where the payoffs are the two firms' profits in thousands of dollars. (b) Find the Nash equilibrium in pure strategies. Is this a dominant strategy equilibrium? Explain. (c) Explain why this is an example of the Prisoners' Dilemma game.
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