3. Suppose the prisoner's dilemma in question 2 is played an infinite number of times. Assume a discount factor of 8 and the payoff for the entire game is the present value of the payoffs from each stage. For what values of 8 is it optimal for the players to cooperate if trigger strategies are being used?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.6P
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Question 2 is for information only. I need question 3

3. Suppose the prisoner's dilemma in question 2 is played an infinite number of times.
Assume a discount factor of 8 and the payoff for the entire game is the present value of
the payoffs from each stage. For what values of & is it optimal for the players to
cooperate if trigger strategies are being used?
Transcribed Image Text:3. Suppose the prisoner's dilemma in question 2 is played an infinite number of times. Assume a discount factor of 8 and the payoff for the entire game is the present value of the payoffs from each stage. For what values of & is it optimal for the players to cooperate if trigger strategies are being used?
2. Suppose the following prisoner's dilemma is played twice with the payoff for the entire
game being the sum of the payoffs from the two stages. Assume no discounting. Find
the subgame-perfect
outcome.
Player 1
A
B
Player 2
A
B
6,6
8,2
2,8
4,4
Transcribed Image Text:2. Suppose the following prisoner's dilemma is played twice with the payoff for the entire game being the sum of the payoffs from the two stages. Assume no discounting. Find the subgame-perfect outcome. Player 1 A B Player 2 A B 6,6 8,2 2,8 4,4
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