Suppose that identical duopoly firms have constant marginal costs of $10 per unit. Firm 1 faces a demand function of where q₁ is Firm 1's output, p₁ is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is 92=16 Solve for the Bertrand equilibrium. In equilibrium, P₁ equals S At these prices. 9₁ equals and P2 equals S and 92 equals 01 =180 - 20, + 182. (Enter numeric responses using integers.) =160-2p₂+1p1-

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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Suppose that identical duopoly firms have constant marginal costs of $10 per unit. Firm 1 faces a demand function of
where q₁ is Firm 1's output, p₁ is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is
92=16
Solve for the Bertrand equilibrium.
In equilibrium, P₁ equals S
At these prices. 9₁ equals
and P2 equals S
and 92 equals
41 =180 – 20, + 102,
(Enter numeric responses using integers.)
=160-2p₂+1P1-
Transcribed Image Text:Suppose that identical duopoly firms have constant marginal costs of $10 per unit. Firm 1 faces a demand function of where q₁ is Firm 1's output, p₁ is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is 92=16 Solve for the Bertrand equilibrium. In equilibrium, P₁ equals S At these prices. 9₁ equals and P2 equals S and 92 equals 41 =180 – 20, + 102, (Enter numeric responses using integers.) =160-2p₂+1P1-
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