Consider an infinitely repeated Bertrand oligopoly game with discount factor æ>1. The unite cost of production is a constant c = 0.2 and the same for all n>2 firms. There are no fixed costs.Desribe a form of "trigger" strategies that can facilitate tacit collusion in pricing.  Determine the condition under which such strategies can sustain the monopoly price in each of the following cases: 1. The market demand in each period is D(p)=1-p.(Caculate the monopoly price and profit explicitly in answer.) 2. At the end of each period, the market ceases to exist with probability gama.

Microeconomic Theory
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Chapter15: Imperfect Competition
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Consider an infinitely repeated Bertrand oligopoly game with discount factor æ>1. The unite cost of production is a constant c = 0.2 and the same for all n>2 firms. There are no fixed costs.Desribe a form of "trigger" strategies that can facilitate tacit collusion in pricing.  Determine the condition under which such strategies can sustain the monopoly price in each of the following cases:

1. The market demand in each period is D(p)=1-p.(Caculate the monopoly price and profit explicitly in answer.)

2. At the end of each period, the market ceases to exist with probability gama.

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