A10  Consider an industry with 2 firms, each firm with marginal costs equal to 0. Market demand curve is given by Q=60- P. With 2 firms, we can write Q=Q1+ Q2 . Suppose that each firm behaves as a “Cournot” competitor, that is, choose the optimal quantity maximizing the profits in a strategic way. (a) What would be the values of Q1, and Q2 in equilibrium? (b) Suppose firm 1 can “commit” its level of output in advance. In other words, if firm 1 announces to produce Q1, firm 2 needs to decide how much to produce assuming that firm 1 would indeed produce Q1. What’s the level of Q1 firm 1 would choose to maximize its profit?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter26: Monopolistic Competition And Oligopoly
Section: Chapter Questions
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A10 

Consider an industry with 2 firms, each firm with marginal costs equal to 0. Market demand curve is given by Q=60- P. With 2 firms, we can write Q=Q1+ Q2 . Suppose that each firm behaves as a “Cournot” competitor, that is, choose the optimal quantity maximizing the profits in a strategic way.
(a) What would be the values of Q1, and Q2 in equilibrium?

(b) Suppose firm 1 can “commit” its level of output in advance. In other words, if firm 1 announces to produce Q1, firm 2 needs to decide how much to produce assuming that firm 1 would indeed produce Q1. What’s the level of Q1 firm 1 would choose to maximize its profit?

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