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Дилема на затвореници

A favorite example in game theory, which shows why co-operation is difficult to achieve even when it is mutually beneficial. Two prisoners have been arrested for the same offence and are held in different cells. Each has two options: confess, or say nothing. There are three possible outcomes. One could confess and agree to testify against the other as state witness, receiving a light sentence while his fellow prisoner receives a heavy sentence. They can both say nothing and may be lucky and get light sentences or even be let off, owing to lack of firm evidence. Or they may both confess and probably get lighter individual sentences than one would have received had he said nothing and the other had testified against him. The second outcome would be the best for both prisoners. However, the risk that the other might confess and turn state witness is likely to encourage both to confess, landing both with sentences that they might have avoided had they been able to co-operate in remaining silent. In an oligopoly, firms often behave like these prisoners, not setting prices as high as they could do if they only trusted the other firms not to undercut them. As a result, they are worse off.

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