pse two risk-neutral firms, 1 and 2, are engaged in a one-shot Cournot market. Market dema senting market price and Q representing total market output) is given by P(Q) = 70 -Q where Q= knows that its own costs are "medium", so C1(q1) = 2591, and that Firm 2's costs may be eith D= 2002 (with 20% probability), or "high", so C2(92) = 30q2 (with 80% probability). knows its own costs, and Firm 1's costs. Bayesian Nash equilibrium for this market, what will be the total market output Qif Firm 2's

Microeconomic Theory
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Chapter15: Imperfect Competition
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QUESTION 7
Suppose two risk-neutral firms, 1 and 2, are engaged in a one-shot Cournot market. Market demand (with P
representing market price and Q representing total market output) is given by P(Q) = 70 - Q where Q = 91 + 92
Firm 1 knows that its own costs are "medium", so C1(91) = 2591, and that Firm 2's costs may be either "low", so
C2(42) = 2092 (with 20% probability), or "high", so C2(q2) = 3092 (with 80% probability).
Firm 2 knows its own costs, and Firm 1's costs.
In the Bayesian Nash equilibrium for this market, what will be the total market output Q if Firm 2's true costs
are "low"?
Transcribed Image Text:QUESTION 7 Suppose two risk-neutral firms, 1 and 2, are engaged in a one-shot Cournot market. Market demand (with P representing market price and Q representing total market output) is given by P(Q) = 70 - Q where Q = 91 + 92 Firm 1 knows that its own costs are "medium", so C1(91) = 2591, and that Firm 2's costs may be either "low", so C2(42) = 2092 (with 20% probability), or "high", so C2(q2) = 3092 (with 80% probability). Firm 2 knows its own costs, and Firm 1's costs. In the Bayesian Nash equilibrium for this market, what will be the total market output Q if Firm 2's true costs are "low"?
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