" Tit for Tat" strategy is not really that good. The aurthor who suggested it actually cheated in his paper. You can find it in the book "Game Theory-Very Short Introduction". There is anther possibility that one player made a mistake or did not know how to play, then you get problem. Some suggest that "Two Tit for a Tat". However, it is still arguable. One player could pretend that he does not know the rule and play Cheat until his opponent almost gives up the hope to play Cooperate, then he starts to play Cooperate. As we can see, there is no good way to solve Prisoners' Dilemma. You also should read Schelling's paper "Hockey Helmets, Concealed Weapons, and Daylight Saving: A Study of Binary Choices with Externalities". He suggests that we should not try to solve Prisoners' Dilemma in some situation in which some people cooperate and others do not cooperate is the social optimal, which is better than everyone cooperates. The problem is who should cooperate.
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