For a Cournot oligopoly model with n firms facing constant marginal costs c, and market demand P = 1 - Q. where Q is the total quantity demanded in the market, the equilibrium quantity for each firm will be O (1-c)/(n+1) O (1+c)/(n+1) O (1+cn)/(n+1) O (1-cn)/(n+1)

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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For a Cournot oligopoly model with n firms facing constant marginal costs c, and market demand P = 1 - Q.
where Q is the total quantity demanded in the market, the equilibrium quantity for each firm will be
O (1-c)/(n+1)
O (1+c)/(n+1)
O (1+cn)/(n+1)
O (1-cn)/(n+1)
Transcribed Image Text:For a Cournot oligopoly model with n firms facing constant marginal costs c, and market demand P = 1 - Q. where Q is the total quantity demanded in the market, the equilibrium quantity for each firm will be O (1-c)/(n+1) O (1+c)/(n+1) O (1+cn)/(n+1) O (1-cn)/(n+1)
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How does it go from qi = (1 - q1 - q2 - ... - qn - c)/2 to q = (1 - cq)/(n + 1) via the substitution in the last step?

 

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