How can you by using a matrix, find the optimal strategies for each player in the prisoner dilemma, and calculate the odds of them choosing that option?
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║ ║ Confess ║ Deny ║
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║ Confess ║ 3y/3y ║ 10y/1y ║
╠══════╬═══════╬══════╣
║ Deny ║ 1y/10y ║ 2y/2y ║
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The column player confesses with the probability of P and denies with the probability of P-1
When I try to calculate the probability for the row player, I do:
3p+1(1−p)=10p+2(1−p)
However then I get:
P=−1/6
Which doesnt work. So I wonder what did I do wrong?
1 answer