The firms in a duopoly produce differentiated products. The inverse demand for Firm 1 is P1 = 112 - 91 - 0.5q2. The inverse demand for Firm 2 is P2 = 130 – 92 - 0.5q1. Each firm has a marginal cost of m = $1 per unit. Solve for the Nash-Cournot equilibrium quantities. The Cournot equilibrium quantities are 91 units and 92 =Lunits. %D (Enter your responses rounded to two decimal places.)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.5P
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The firms in a duopoly produce differentiated products. The inverse demand for Firm 1 is
P1 = 112 - 91 - 0.5q2.
The inverse demand for Firm 2 is
P2 = 130 - 92 - 0.5q1.
Each firm has a marginal cost of m = $1 per unit. Solve for the Nash-Cournot equilibrium quantities.
The Cournot equilibrium quantities are
91
units
%3D
and
92
units.
(Enter your responses rounded to two decimal places.)
II
Transcribed Image Text:The firms in a duopoly produce differentiated products. The inverse demand for Firm 1 is P1 = 112 - 91 - 0.5q2. The inverse demand for Firm 2 is P2 = 130 - 92 - 0.5q1. Each firm has a marginal cost of m = $1 per unit. Solve for the Nash-Cournot equilibrium quantities. The Cournot equilibrium quantities are 91 units %3D and 92 units. (Enter your responses rounded to two decimal places.) II
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