Suppose firms interact repeatedly over an infinite horizon, and firms have a common discount factor & € (0,1). Specify a trigger strategy for each firm to sustain the collusive arrangement as an equilibrium outcome. Cal- culate the minimum value of & for which such a trigger strategy collusion as an equilibrium in the repeated interaction. air

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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8. Suppose there are two identical firms in an industry who compete by setting
quantities. The output of firm 1 is denoted by q1 and that of firm 2 is denoted
by q2. Each firm faces a constant marginal cost of 3. Let Q denote total output,
1.e. Qq1 +42. The inverse demand curve in the market is given by
P-15-Q
(d) Suppose firms interact repeatedly over an infinite horizon, and firms have
a common discount factor & € (0,1). Specify a trigger strategy for each
firm to sustain the collusive arrangement as an equilibrium outcome. Cal-
culate the minimum value of & for which such a trigger strategy
collusion as an equilibrium in the repeated interaction.
ain
Transcribed Image Text:8. Suppose there are two identical firms in an industry who compete by setting quantities. The output of firm 1 is denoted by q1 and that of firm 2 is denoted by q2. Each firm faces a constant marginal cost of 3. Let Q denote total output, 1.e. Qq1 +42. The inverse demand curve in the market is given by P-15-Q (d) Suppose firms interact repeatedly over an infinite horizon, and firms have a common discount factor & € (0,1). Specify a trigger strategy for each firm to sustain the collusive arrangement as an equilibrium outcome. Cal- culate the minimum value of & for which such a trigger strategy collusion as an equilibrium in the repeated interaction. ain
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