1) Obtain the reaction function of the first firm. (2) Find the equilibrium (output and profit of each firm) when two firms simultaneously compete

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 1E
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There are two firms in the market (duopoly). These two firms are competing
simultaneously. The first firm chooses its output level (x) by predicting the second firm’s
output (y). Let c denote the total cost function c(x) = x and c(y) = y. Also, let’s assume
that the inverse demand function is p(Y) = 7 - Y where Y = x + y. (1) Obtain the reaction
function of the first firm. (2) Find the equilibrium (output and profit of each firm) when
two firms simultaneously compete

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