Suppose that firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a – bQ, where a, b> 0. a. Calculate the profit-maximizing price-quantity combi- nation for a monopolist. Also calculate the monopolist's profit. b. Calculate the Nash equilibrium quantities for Cournot duopolists, which choose quantities for their identical products simultaneously. Also compute market output, market price, and firm and industry profits.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.1P
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Suppose that firms’ marginal and average costs are constant
and equal to c and that inverse market demand is given by
P = a – bQ, where a, b> 0.
a. Calculate the profit-maximizing price-quantity combi-
nation for a monopolist. Also calculate the monopolist's
profit.
b. Calculate the Nash equilibrium quantities for Cournot
duopolists, which choose quantities for their identical
products simultaneously. Also compute market output,
market price, and firm and industry profits.
Transcribed Image Text:Suppose that firms’ marginal and average costs are constant and equal to c and that inverse market demand is given by P = a – bQ, where a, b> 0. a. Calculate the profit-maximizing price-quantity combi- nation for a monopolist. Also calculate the monopolist's profit. b. Calculate the Nash equilibrium quantities for Cournot duopolists, which choose quantities for their identical products simultaneously. Also compute market output, market price, and firm and industry profits.
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