In game theory, a repeated game (supergame or iterated game) is an extensive form game which consists in some number of repetitions of some base game (called a stage game). The stage game is usually one of the well-studied 2-person games. It captures the idea that a player will have to take into account the impact of his current action on the future actions of other players; this is sometimes called his reputation. The presence of different equilibrium properties is because the threat of retaliation is real, since one will play the game again with the same person. It can be proved that every strategy that has a payoff greater than the minmax payoff can be a Nash Equilibrium, which is a very large set of strategies. Single stage game or single shot game are names for non-repeated games.
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Famous quotes containing the words repeated and/or game:
“Once Vogue showed two or three dresses for stout women, but we were so shaken by the experience we haven’t repeated it in fifty-seven years. Today ... we must acknowledge that a lady may grow mature, but she never grows fat.”
—Edna Woolman Chase (1877–1957)
“The most disgusting cad in the world is the man who, on grounds of decorum and morality, avoids the game of love. He is one who puts his own ease and security above the most laudable of philanthropies.”
—H.L. (Henry Lewis)