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Game Theory as a Theory of Conflict Resolution Anatol Rapoport

Game Theory as a Theory of Conflict Resolution By Anatol Rapoport

Game Theory as a Theory of Conflict Resolution by Anatol Rapoport


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Summary

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.

Game Theory as a Theory of Conflict Resolution Summary

Game Theory as a Theory of Conflict Resolution by Anatol Rapoport

Game 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.

Table of Contents

I. Two-Person Games.- Prisoners Dilemma Recollections and Observations.- Structural Properties and Resolutions of the Prisoners Dilemma Game.- On 22 Games and Braithwaites Arbitration Scheme.- Design and Conduct of Metagame Theoretic Experiments.- Testing Nashs Solution of the Cooperative Game.- II. N-Person Games.- Test of the Bargaining Set and Kernel Models in Three-person Games.- Test of the Kernel and Two Bargaining Set Models in Four- and Five-person Games.- A Shapley Value for Cooperative Games with Quarrelling.- Coalitions and Payoffs in Three-person Supergames under Multiple-trial Agreements.- The Application of Compromise Solutions to Reporting Games.- General Metagames: An Extension of the Metagame Concept.

Additional information

NPB9789027704894
9789027704894
9027704899
Game Theory as a Theory of Conflict Resolution by Anatol Rapoport
New
Paperback
Springer
1974-05-31
285
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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