Infinitely Repeated Prisoner's Dilemma

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Infinitely Repeated Prisoner's Dilemma
Cooperate Defect
(а, а)
(b, с)
(c, b)
(d, d)
Соорerate
Defect
Here, a = 16,6 = 1,c=18, d = 7. Assume that both of the players are playing the grim trigger strategy. Also assume that the discounting factor for
both player 1 and 2 is d.
1. What is the payoff/utility of player 1 if both players decide to defect all the time? Assume 8 = 0.59.
Write at least 3 digits after the decimal place.
2. What is the payoff/utility of player 1 if both players decide to cooperate all the time? Assume d = 0.65.
Write at least 3 digits after the decimal place.
3. Find the minimum value of 5 for which player 1 will have no incentive to defect on the first stage, assuming player 1 and 2 both are playing grim
trigger strategy.
Write at least 3 digits after the decimal place.
Transcribed Image Text:Infinitely Repeated Prisoner's Dilemma Cooperate Defect (а, а) (b, с) (c, b) (d, d) Соорerate Defect Here, a = 16,6 = 1,c=18, d = 7. Assume that both of the players are playing the grim trigger strategy. Also assume that the discounting factor for both player 1 and 2 is d. 1. What is the payoff/utility of player 1 if both players decide to defect all the time? Assume 8 = 0.59. Write at least 3 digits after the decimal place. 2. What is the payoff/utility of player 1 if both players decide to cooperate all the time? Assume d = 0.65. Write at least 3 digits after the decimal place. 3. Find the minimum value of 5 for which player 1 will have no incentive to defect on the first stage, assuming player 1 and 2 both are playing grim trigger strategy. Write at least 3 digits after the decimal place.
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