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An example prisoner's dilemma payoff matrix. William Poundstone described this "typical contemporary version" of the game in his 1993 book Prisoner's Dilemma: Two members of a criminal gang are arrested and imprisoned. Each prisoner is in solitary confinement with no means of speaking to or exchanging messages with the other.
This chart illustrates the prisoner's dilemma, one of the most famous examples of game theory. Social dilemmas have attracted a great deal of interest in the social and behavioral sciences. Economists, biologists, psychologists, sociologists, and political scientists alike study behavior in social dilemmas.
Prisoner's dilemma: 2 2 1 No No No No Public goods: N: infinite 1 No No No No Rock, paper, scissors: 2 3 0 No No Yes No Screening game: 2 variable variable Yes No No Yes Signaling game: N: variable variable Yes No No Yes Stag hunt: 2 2 2 No No No No Traveler's dilemma: 2 N >> 1 1 No No No No Truel: 3 1-3 infinite Yes Yes No No Trust game: 2 ...
Three prisoners, A, B, and C, are in separate cells and sentenced to death. The governor has selected one of them at random to be pardoned. The warden knows which one is pardoned, but is not allowed to tell. Prisoner A begs the warden to let him know the identity of one of the two who are going to be executed. "If B is to be pardoned, give me C ...
The Prisoner's Dilemma game is another well-known example of a non-cooperative game. The game involves two players, or defendants, who are kept in separate rooms and thus are unable to communicate. The game involves two players, or defendants, who are kept in separate rooms and thus are unable to communicate.
Eight decades ago, federal lawyers wrestled with this same dilemma as the government imprisoned more than 100,000 innocent Japanese Americans from the West Coast on account of their ancestry.
The prisoners enter the room, one after another. Each prisoner may open and look into 50 drawers in any order. The drawers are closed again afterwards. If, during this search, every prisoner finds their number in one of the drawers, all prisoners are pardoned. If even one prisoner does not find their number, all prisoners die.
For example, suppose we have a prisoner's dilemma as pictured in Figure 3. The payoff matrix would need adjusting if players who defect against cooperators might be punished for their defection. For instance, if the expected punishment is −2, then the imposition of this punishment turns the above prisoner's dilemma into the stag hunt given at ...