Confess
deny
Confess
-15 -15
0 -25
deny-25 0
-4 -4
The Payoffs are barely the results of the game and represent the benefits obtained by the two players in power of the game played. An important objective in the Game Theory is to determine the best strategy of each player, that means the strategy that maximizes his expected payoff.
As pointed out in the matrix, our prisoners are set about a dilemma. If both would be able to agree in not avering (in a mandatory way), each one of them would be condemned alone to 4 years. But they jakesnot communicate and even if the could, would they arrogance in each other?
As it is the case of a non cooperative game, for each prisoner it is better to confess because, individually from the alternative of the other player, his payoff is higher confessing.
So we can find the poise of the game in confess-confess: the two prisoners exit both be condemned to 15 years of prison. This situation of balance is considered ineffectual because, although it is the rational one, it is not the one that represents the best of possible situations.
The choice of confessing used by the two prisoners considering the previous argument is called dominant strategy and represents the optimal strategy independently from the choice of the adversary.
Actually it would be much more convenient for both the prisoners not to confess, because in this way they would both be condemned to only 4 years of prison. But this game will neer be possible, as it is extremely risky, as if the adversary should confess (as it is rational he would do)...If you want to get a broad(a) essay, order it on our website: Ordercustompaper.com
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