.. Two firms compete in price in a market for infinite periods. In this market, there are N consumers; each buys one unit per period if the price does not exceed $10 and nothing otherwise. Consumers buy from the firm selling at a lower price. In case both firms charge the same price, assume N/2 consumers buy from each firm. Assume zero production cost for both firms. A possible strategy that may support the collusive equilibrium is: Announce a price of $10 if the equilibrium price has always been $10; otherwise, announce the price as in Nash equilibrium of the one-shot Bertrand game. 1.a Let 6 be the discount factor. Find the condition on ô such that the above strategy can indeed support the collusive equilibrium. Now suppose that Firm 2's marginal cost is $4, but Firm 1's marginal cost remains at zero. 1.b Find the condition on & under which Firm 2 will not deviate from the collusive equilibrium.
.. Two firms compete in price in a market for infinite periods. In this market, there are N consumers; each buys one unit per period if the price does not exceed $10 and nothing otherwise. Consumers buy from the firm selling at a lower price. In case both firms charge the same price, assume N/2 consumers buy from each firm. Assume zero production cost for both firms. A possible strategy that may support the collusive equilibrium is: Announce a price of $10 if the equilibrium price has always been $10; otherwise, announce the price as in Nash equilibrium of the one-shot Bertrand game. 1.a Let 6 be the discount factor. Find the condition on ô such that the above strategy can indeed support the collusive equilibrium. Now suppose that Firm 2's marginal cost is $4, but Firm 1's marginal cost remains at zero. 1.b Find the condition on & under which Firm 2 will not deviate from the collusive equilibrium.
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.3P
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