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A
two-player non-zero sum
game where each player can choose between cooperation and defection. The
pay-off matrix
is (cooperate=C, defect=D).
If both players cooperate, they get 3 points each. If they both defect they earn just one each. If one defects and the other cooperates the defector will
gain 5 points and the cooperator nothing. If the players will play the game
only once, it is rational to defect,
but if they will continue to play it several times (the iterated prisoner's
dilemma) different strategies become possible. In this case mutual
cooperation gives a high pay-off, but defectors can exploit naive
cooperators. But since mutual defection does worse than cooperation
cooperators can come do dominate the population as long as they are not too
vulnerable to defectors. The game is a standard model in game theory, and has
been widely modelled in theoretical sociology, theoretical biology and
economics. It seems to capture some of the tensions between selfishness and
altruism, which has led to a great interest in what strategies are
evolutionarily stable
in the iterated dilemma. The name derives from a scenario where two prisoners
have to independently decide if too testify against each other or not. See
also Principia Cybernetica's article on the dilemma.
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