Suppose the airline industry consisted of only two firms: American and Texas Air Corp. Let the two firms have identical cost functions, C(q) = 40q. Assume that the demand curve for the industry is given by P = 100-Q and that each firm expects the other to behave as a Cournot competitor. Calculate the Cournot-Nash equilibrium for each firm, assuming that each chooses the output level that maximizes its profits when taking its rival's output as given. What are the profits of each firm? (Round all quantities and dollar amounts to two decimal places.)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
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Suppose the airline industry consisted of only two firms: American and Texas
Air Corp. Let the two firms have identical cost functions, C(q) = 40q. Assume
that the demand curve for the industry is given by P = 100-Q and that each
firm expects the other to behave as a Cournot competitor.
Calculate the Cournot-Nash equilibrium for each firm, assuming that each
chooses the output level that maximizes its profits when taking its rival's
output as given. What are the profits of each firm? (Round all quantities and
dollar amounts to two decimal places.)
When competing, each firm will produce
units of output.
Transcribed Image Text:Suppose the airline industry consisted of only two firms: American and Texas Air Corp. Let the two firms have identical cost functions, C(q) = 40q. Assume that the demand curve for the industry is given by P = 100-Q and that each firm expects the other to behave as a Cournot competitor. Calculate the Cournot-Nash equilibrium for each firm, assuming that each chooses the output level that maximizes its profits when taking its rival's output as given. What are the profits of each firm? (Round all quantities and dollar amounts to two decimal places.) When competing, each firm will produce units of output.
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