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Old 12-17-2005, 05:01 PM
atrifix atrifix is offline
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Join Date: Aug 2004
Posts: 13
Default Re: Philosophy questions - Morality & Moral Theories

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I haven't read the other threads on this, but I'll go further than both of you and state that cooperating in the prisoner's dilemma does require either altruism or irrationality.

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I think it's rational self-interest.

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If it's rational self-interest, then both players defect (in the one-shot game), because they both have a dominant strategy.

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There are some other assumptions that have to be made in the finitely repeated prisoner's dilemma (most importantly, common knowledge of rationality), but including all the assumptions leads to a unique equilibrium where players defect on all rounds.

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How do you figure? If both players are rational, a tit-for-tat strategy (or slightly modified), ensures cooperation on all rounds. That is the rational strategy.

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Well, if we make the assumptions:
1) the game is finite
2) both players know that the other player is rational (CKR)
3) both players have perfect recall
4) both players are capable of calculating as many steps as the game has iterations
5) both players have perfect information, i.e., they know how many rounds the game will last, etc.

Then the unique equilibrium is the backward induction one where both players defect on all rounds. E.g., since both players will defect on the last round, they know that the other player will defect on the next to last round, so they'll defect on the next to last round, but the other player knows that ... and so on.

Now, I think this result is fairly absurd, but then one of the assumptions has to go. So which one is it?
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