A homogeneous products duopoly faces a market demand function given by Q = 10 - 2P, where Q = Q₁ + Q₂. Both firms have a constant marginal cost MC = 2. 1. Suppose the two firms set their quantities simultaneously by guessing the other firm's quantity choice. Derive the equation of each firm's reaction curve and then graph these curves. 2. What is the Cournot equilibrium quantity and price in this market for each firm? 3. What would the equilibrium price in this market be if it were perfectly competitive? 4. What is the Bertrand equilibrium price in this market?

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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A homogeneous products duopoly faces a
market demand function given by
Q = 102P, where Q = Q₁ + Q2. Both
Q1
firms have a constant marginal cost MC = 2.
1. Suppose the two firms set their quantities
simultaneously by guessing the other firm's
quantity choice. Derive the equation of each
firm's reaction curve and then graph these
curves.
2. What is the Cournot equilibrium quantity
and price in this market for each firm?
3. What would the equilibrium price in this
market be if it were perfectly competitive?
4. What is the Bertrand equilibrium price in this
market?
Transcribed Image Text:A homogeneous products duopoly faces a market demand function given by Q = 102P, where Q = Q₁ + Q2. Both Q1 firms have a constant marginal cost MC = 2. 1. Suppose the two firms set their quantities simultaneously by guessing the other firm's quantity choice. Derive the equation of each firm's reaction curve and then graph these curves. 2. What is the Cournot equilibrium quantity and price in this market for each firm? 3. What would the equilibrium price in this market be if it were perfectly competitive? 4. What is the Bertrand equilibrium price in this market?
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