* Suppose there are two identical firms in an industry who compete by setting quantities. The output of firm 1 is denoted by q and that of firm 2 is denoted by q Each firm faces a constant marginal cost of 3. Let Q denote total output. le Q-+ The inverse demand curve in the market is given by (a) Find the Cournot Nash equilibrium quantity produced by each firm and the market price. (b) If the firms could collude, what would be the total output in the mar ket? Assuming each firm produces half of the collusive output, what is the profit of each firm? (c) Suppose each firm produces half of the collusive output identified in part (b). Firm 1 considers a deviation from this arrangement. What would be the best deviating output of firm 1 and its deviation profit?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
*
Suppose there are two identical firms in an industry who compete by setting
quantities. The output of firm 1 is denoted by q, and that of firm 2 is denoted
by q Each firm faces a constant marginal cost of 3. Let Q denote total output.
Le Q-q+42 The inverse demand curve in the market is given by
(a) Find the Cournot-Nash equilibrium quantity produced by each firm and
the market price.
(b) If the firms could collude, what would be the total output in the mar
ket? Assuming each firm produces half of the collusive output, what is
the profit of each firm?
(c) Suppose each firm produces half of the collusive output identified in part
(b). Firm 1 considers a deviation from this arrangement. What would be
the best deviating output of firm 1 and its deviation profit?
(d) Suppose firms interact repeatedly over an infinite horizon, and firms have
a common discount factor & € (0,1) Specify a trigger strategy for each
firm to sustain the collusive arrangement as an equilibrium outcome Cal-
culate the minimum value of 6 for which such a trigger strategy can sustain
collusion as an equilibrium in the repeated interaction.
Suppo
Transcribed Image Text:* Suppose there are two identical firms in an industry who compete by setting quantities. The output of firm 1 is denoted by q, and that of firm 2 is denoted by q Each firm faces a constant marginal cost of 3. Let Q denote total output. Le Q-q+42 The inverse demand curve in the market is given by (a) Find the Cournot-Nash equilibrium quantity produced by each firm and the market price. (b) If the firms could collude, what would be the total output in the mar ket? Assuming each firm produces half of the collusive output, what is the profit of each firm? (c) Suppose each firm produces half of the collusive output identified in part (b). Firm 1 considers a deviation from this arrangement. What would be the best deviating output of firm 1 and its deviation profit? (d) Suppose firms interact repeatedly over an infinite horizon, and firms have a common discount factor & € (0,1) Specify a trigger strategy for each firm to sustain the collusive arrangement as an equilibrium outcome Cal- culate the minimum value of 6 for which such a trigger strategy can sustain collusion as an equilibrium in the repeated interaction. Suppo
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Subgame Nash
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
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education