2. Consider a Cournot duopoly with a demand function of p=10-Q (where Q=9₁ +9₂) and a constant marginal cost of c>0. a) Find the two firms' best-response functions. b) Find the Nash equilibrium output. c) What happens to the equilibrium market price as c increases (assuming that c remains below 10)?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter12: Price And Output Determination: Oligopoly
Section: Chapter Questions
Problem 2E
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2. Consider a Cournot duopoly with a demand function of p=10-Q (where
Q=9₁ +9₂) and a constant marginal cost of c>0.
a) Find the two firms' best-response functions.
b) Find the Nash equilibrium output.
c) What happens to the equilibrium market price as c increases (assuming that c
remains below 10)?
d) What happens to the equilibrium market price if c increases above 10?
Transcribed Image Text:2. Consider a Cournot duopoly with a demand function of p=10-Q (where Q=9₁ +9₂) and a constant marginal cost of c>0. a) Find the two firms' best-response functions. b) Find the Nash equilibrium output. c) What happens to the equilibrium market price as c increases (assuming that c remains below 10)? d) What happens to the equilibrium market price if c increases above 10?
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