Two firms who make identical products engage in Cournot competition. The inverse market demand curve is: P(Q) = 60 - 10Q, where Q = 9₁ +92. The cost functions are C₁(91) = 109₁ and C₂(92) 592 for firms 1 and 2, respectively. Find the Nash equilibrium quantities for each firm. = (a) 91 : 1.5, 92 = 2 (b) q₁ = 92 = 2 (c) q₁ = 92 = 1.5 (d) 9₁ = 1.5, q2 = 3 (e) None of the above options is correct.

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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Two firms who make identical products engage in Cournot competition. The inverse
market demand curve is: P(Q) = 60 - 10Q, where Q=9₁ +92. The cost functions
are C₁(9₁) 1091 and C₂ (92) : 592 for firms 1 and 2, respectively. Find the Nash
equilibrium quantities for each firm.
(a) 9₁ =
=
1.5, 92 2
(b) q₁ =
92 = 2
(c) q₁ = 92 = 1.5
(d) 9₁ = 1.5, 92 = 3
(e) None of the above options is correct.
Transcribed Image Text:Two firms who make identical products engage in Cournot competition. The inverse market demand curve is: P(Q) = 60 - 10Q, where Q=9₁ +92. The cost functions are C₁(9₁) 1091 and C₂ (92) : 592 for firms 1 and 2, respectively. Find the Nash equilibrium quantities for each firm. (a) 9₁ = = 1.5, 92 2 (b) q₁ = 92 = 2 (c) q₁ = 92 = 1.5 (d) 9₁ = 1.5, 92 = 3 (e) None of the above options is correct.
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