a. What outcomes, if any, are Nash equilibria? b. If the managers of both firms are conservative and each follows a maximin strategy, what will be the outcome? c. What is the cooperative outcome? d. Which firm benefits most from the cooperative outcome? How much would that firm need to offer the other to persuade it to collude?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Class Exercise
Chapter 13: Game Theory
Two firms are in the chocolate market. Each can choose to go for the
high end of the market (high quality) or the low end (low quality).
Resulting profits are given by the following payoff matrix:
Firm 2
Low
-20, -30
High 100, 800
Firm Low
1
High
900, 600
50, 50
a. What outcomes, if any, are Nash equilibria?
b. If the managers of both firms are conservative and each follows a
maximin strategy, what will be the outcome?
c. What is the cooperative outcome?
d. Which firm benefits most from the cooperative outcome? How
much would that firm need to offer the other to persuade it to
collude?
Transcribed Image Text:Class Exercise Chapter 13: Game Theory Two firms are in the chocolate market. Each can choose to go for the high end of the market (high quality) or the low end (low quality). Resulting profits are given by the following payoff matrix: Firm 2 Low -20, -30 High 100, 800 Firm Low 1 High 900, 600 50, 50 a. What outcomes, if any, are Nash equilibria? b. If the managers of both firms are conservative and each follows a maximin strategy, what will be the outcome? c. What is the cooperative outcome? d. Which firm benefits most from the cooperative outcome? How much would that firm need to offer the other to persuade it to collude?
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