Consider an infinitely repeated "emotionally charged" Prisoner's Dilemma where Player 1 gets depressed if betrayed, which reduces his payoff beyond the prison time by an amount x. Player 2 Confess (C) Deny (D) 0, -5 Confess (C) Deny (D) Player 1 -3, -3 -5-х, 0 -1, -1 How does x affect the players' ability to cooperate? O The lower x is, the more likely it is that they can cooperate. O The higher x is, the more likely it is that they can cooperate. O f the discount factor is greater than x, they can cooperate. O x does not affect cooperation at all.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Consider an infinitely repeated "emotionally charged" Prisoner's Dilemma where Player 1 gets depressed if betrayed, which reduces his payoff beyond the prison time by an amount x.
Player 2
Confess (C)
Deny (D)
0, -5
Player 1
Confess (C)
-3, -3
Deny (D)
-5-х, 0
-1, -1
How does x affect the players' ability to cooperate?
O The lower x is, the more likely it is that they can cooperate.
O The higher x is, the more likely it is that they can cooperate.
O If the discount factor is greater than x, they can cooperate.
O x does not affect cooperation at all.
Transcribed Image Text:Consider an infinitely repeated "emotionally charged" Prisoner's Dilemma where Player 1 gets depressed if betrayed, which reduces his payoff beyond the prison time by an amount x. Player 2 Confess (C) Deny (D) 0, -5 Player 1 Confess (C) -3, -3 Deny (D) -5-х, 0 -1, -1 How does x affect the players' ability to cooperate? O The lower x is, the more likely it is that they can cooperate. O The higher x is, the more likely it is that they can cooperate. O If the discount factor is greater than x, they can cooperate. O x does not affect cooperation at all.
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