3. Consider the following version of the prisoner's dilemma: 1 2 C d C 2,1 -1,4 d 3,-3 0,0 Assume that this game is repeated an infinite number of times, and that both players discount future payoffs with the same discount factor 6. a. Suppose that both players follow the following trigger-strategy: "play c as long as no one has ever played d; otherwise, play d". Find the minimum value of such that this is a SPE.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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3. Consider the following version of the prisoner's dilemma:
2
с
d
с
2,1
-1,4
d 3,-3 0,0
Assume that this game is repeated an infinite number of times, and that both
players discount future payoffs with the same discount factor 8.
a. Suppose that both players follow the following trigger-strategy: "play c as
long as no one has ever played d; otherwise, play d". Find the minimum
value of such that this is a SPE.
Transcribed Image Text:3. Consider the following version of the prisoner's dilemma: 2 с d с 2,1 -1,4 d 3,-3 0,0 Assume that this game is repeated an infinite number of times, and that both players discount future payoffs with the same discount factor 8. a. Suppose that both players follow the following trigger-strategy: "play c as long as no one has ever played d; otherwise, play d". Find the minimum value of such that this is a SPE.
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