The following question has three parts. Part I. Consider two firms each producing a version of a differentiated good and facing the following system of demands: Pi = a -bqi dq;, i, j= 1, 2, i ‡ j where a=84, b=21, d=12. Assume firms marginal costs are equal to zero. Firms compete for an infinite number of periods. Suppose that firms compete as Cournot oligopolists. What is the minimum discount factor necessary to sustain collusion using grim-trigger strategies? [Report your answer with three decimals of precision.]

ENGR.ECONOMIC ANALYSIS
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The following question has three parts. Part I. Consider two firms each producing a version of a
differentiated good and facing the following system of demands:
Pi = a — bqi — dqj, i, j = 1, 2, i ‡ j where a=84, b=21, d=12. Assume firms marginal costs are
equal to zero. Firms compete for an infinite number of periods.
Suppose that firms compete as Cournot oligopolists. What is the minimum discount factor necessary
to sustain collusion using grim-trigger strategies? [Report your answer with three decimals of
precision.]
Transcribed Image Text:The following question has three parts. Part I. Consider two firms each producing a version of a differentiated good and facing the following system of demands: Pi = a — bqi — dqj, i, j = 1, 2, i ‡ j where a=84, b=21, d=12. Assume firms marginal costs are equal to zero. Firms compete for an infinite number of periods. Suppose that firms compete as Cournot oligopolists. What is the minimum discount factor necessary to sustain collusion using grim-trigger strategies? [Report your answer with three decimals of precision.]
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