Question 1 (40 points) Consider a homogeneous duopoly market where two firms compete in prices. Demand is given by D 8-2p, where p is price. Marginal cost of production is 2. a)lf the individual capacity of both firms is 2, is there an equilibrium in pure strategies? If so, what are the equilibrium prices? If not, provide a proof. b) Consider then that a third firm enters the market and that all three firms have a capacity of 2. Does an equilibrium in pure strategies exist? If so, what are the equilibrium prices? If not, why not? c) Does you answer under b) change if the firms' capacities are respectively equal to 1, 2 and 3?.
Question 1 (40 points) Consider a homogeneous duopoly market where two firms compete in prices. Demand is given by D 8-2p, where p is price. Marginal cost of production is 2. a)lf the individual capacity of both firms is 2, is there an equilibrium in pure strategies? If so, what are the equilibrium prices? If not, provide a proof. b) Consider then that a third firm enters the market and that all three firms have a capacity of 2. Does an equilibrium in pure strategies exist? If so, what are the equilibrium prices? If not, why not? c) Does you answer under b) change if the firms' capacities are respectively equal to 1, 2 and 3?.
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
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Question 1 (40 points) Consider a homogeneous duopoly market where two firms compete in prices.
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