## Game Theory as a Theory of Conflict ResolutionGame theory could be formally defined as a theory of rational decision in conflict situations. Models of such situations, as they are conceived in game theory, involve (1) a set of decision makers, called players; (2) a set of strategies available to each player; (3) a set of outcomes, each of which is a result of particular choices of strategies made by the players on a given play of the game; and (4) a set of payoffs accorded to each player in each of the possible outcomes. It is assumed that each player is 'individually rational', in the sense that his preference ordering of the outcomes is determined by the order of magnitudes of his (and only his) associated payoffs. Further, a player is rational in the sense that he assumes that every other player is rational in the above sense. The rational player utilizes knowledge of the other players' payoffs in guiding his choice of strategy, because it gives him information about how the other players' choices are guided. Since, in general, the orders of magnitude of the payoffs that accrue to the several players in the several outcomes do not coincide, a game of strategy is a model of a situation involving conflicts of interests. |

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### Contents

ANATOL RAPOPORT Introduction | 1 |

ANATOL RAPOPORT Prisoners Dilemma Recollections | 17 |

T BURNS and L D MEEKER Structural Properties and Resolu | 35 |

Copyright | |

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### Common terms and phrases

accepted action actors advantage alternatives analysis Apex assume assumption bargaining process bargaining set Base basic behavior called characteristic choice choose collective Column communication compromise concept concerning condition consider cooperative decision defined definition depend determined discussed effect equal equilibrium example exists expected experimental experiments Figure final outcomes finding formation four function gain game theory given Hence indicate individual initial interaction interest justified least matrix maximize mean metagame move n-person n-trial agreement negotiation Note objection observed obtain occur offer optimal particular payoff pilot study play player points positive possible predictions preference present Prisoner's Dilemma probability procedure question quota rank Rapoport rational relations reported represent respectively rewards rules selected shows significant single situation social solution Stage strategies structure subjects Table tentative coalition Theorem tion trial Type University utility