The prisoner's dilemma also illustrates that decisions made under collective rationality may differ from those made under individual rationality. Put another way, the dominant strategy is to betray the other prisoner, which aligns with the sure-thing principle. This particular assumption of rationality implies that the only possible outcome for two purely rational prisoners is betrayal, even though mutual cooperation would yield a greater net reward. Loyalty to one's partner is, in this game, irrational. If A and B testify against each other, they will each serve two years.If A remains silent but B testifies against A, A will serve three years in prison and B will be set free.If A testifies against B but B remains silent, A will be set free while B serves three years in prison.If A and B both remain silent, they will each serve one year in prison.This leads to four different possible outcomes for prisoners A and B: Each prisoner is concerned only with his own welfare-with minimizing his own prison sentence. Each is informed that the other prisoner is being offered the very same deal. The prisoners are given a little time to think this over, but in no case may either learn what the other has decided until he has irrevocably made his decision. If both prisoners testify against each other, both will be sentenced to two years in jail. If he testifies against his partner, he will go free while the partner will get three years in prison on the main charge. Simultaneously, the police offer each prisoner a Faustian bargain. They plan to sentence both to a year in prison on a lesser charge. The police admit they don't have enough evidence to convict the pair on the principal charge. Each prisoner is in solitary confinement with no means of speaking to or exchanging messages with the other. Two members of a criminal gang are arrested and imprisoned. William Poundstone described this "typical contemporary version" of the game in his 1993 book Prisoner's Dilemma: In casual usage, the label "prisoner's dilemma" may be applied to any situation in which two entities could gain important benefits from cooperating or suffer from failing to do so, but find it difficult or expensive to coordinate their activities. The prisoner's dilemma models many real-world situations involving strategic behavior. Tucker later formalized the game by structuring the rewards in terms of prison sentences and named it the "prisoner's dilemma". This dilemma was originally framed by Merrill Flood and Melvin Dresher in 1950 while they worked at RAND. The prisoner's dilemma is a game theory thought experiment that involves two rational agents, each of whom can cooperate for mutual benefit or betray their partner ("defect") for individual reward. Not to be confused with Three Prisoners problem, Unexpected hanging paradox, 100 prisoners problem, or Innocent prisoner's dilemma.
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