Suppose that identical duopoly firms have constant marginal costs of $16 per unit. Firm 1 faces a demand function of q, = 100 - 2p, + 1p2, where q, is Firm 1's output, p, is Firm 1's price, and p, is Firm 2's price. Similarly, the demand Firm 2 faces is q, = 100 - 2p, + 1p,. Solve for the Bertrand equilibrium. In equilibrium, p, equals $ and p2 equals $. (Enter numeric responses using integers.)

Survey of Economics (MindTap Course List)
9th Edition
ISBN:9781305260948
Author:Irvin B. Tucker
Publisher:Irvin B. Tucker
Chapter9: Monopolistic Competition And Oligoply
Section: Chapter Questions
Problem 20SQ
icon
Related questions
Question
Suppose that identical duopoly firms have constant marginal costs of $16 per unit. Firm 1 faces a demand function of
9, = 100 - 2p, + 1p2,
where q, is Firm 1's output, p, is Firm 1's price, and p, is Firm 2's price. Similarly, the demand Firm 2 faces is
92 = 100 - 2p2 + 1p1.
Solve for the Bertrand equilibrium.
In equilibrium, p, equals $
and p2 equals $. (Enter numeric responses using integers.)
Transcribed Image Text:Suppose that identical duopoly firms have constant marginal costs of $16 per unit. Firm 1 faces a demand function of 9, = 100 - 2p, + 1p2, where q, is Firm 1's output, p, is Firm 1's price, and p, is Firm 2's price. Similarly, the demand Firm 2 faces is 92 = 100 - 2p2 + 1p1. Solve for the Bertrand equilibrium. In equilibrium, p, equals $ and p2 equals $. (Enter numeric responses using integers.)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Rental Agreement
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Survey of Economics (MindTap Course List)
Survey of Economics (MindTap Course List)
Economics
ISBN:
9781305260948
Author:
Irvin B. Tucker
Publisher:
Cengage Learning
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning