Question 1: 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?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter14: Capital Structure Management In Practice
Section14.A: Breakeven Analysis
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Question 1:
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?
Transcribed Image Text:Question 1: 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?
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