Two firms are playing an infinitely-repeated prisoner's dilemma pricing game of the following form: Firm 1 Firm 2 Low price High Price Low price 4, 4 20, 0 High price 0, 20 12,12 Consider the decision to cheat ONLY ONCE for a firm in this game against the opponent that is a Tit-for-Tat player. Cheating firm gets an extra in payoffs for the first round, but has to face $0 payoffs for the second round in order to be able to bring the opponent to the collusive outcome again in the third round
Two firms are playing an infinitely-repeated prisoner's dilemma pricing game of the following form: Firm 1 Firm 2 Low price High Price Low price 4, 4 20, 0 High price 0, 20 12,12 Consider the decision to cheat ONLY ONCE for a firm in this game against the opponent that is a Tit-for-Tat player. Cheating firm gets an extra in payoffs for the first round, but has to face $0 payoffs for the second round in order to be able to bring the opponent to the collusive outcome again in the third round
Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
Problem 8MC
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Two firms are playing an infinitely-repeated prisoner's dilemma pricing game of the following form:
Firm 1 |
Firm 2 |
|
|
Low |
High Price |
Low price |
4, 4 |
20, 0 |
High price |
0, 20 |
12,12 |
Consider the decision to cheat ONLY ONCE for a firm in this game against the opponent that is a Tit-for-Tat player. Cheating firm gets an extra in payoffs for the first round, but has to face $0 payoffs for the second round in order to be able to bring the opponent to the collusive outcome again in the third round. What is the minimum rate of return (r) that would make defecting only once? Show your calculations.
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