Cooperative Dynamics in a Repeated Three-person Game with Finite Number of Strategies

Authors:	Kleimenov Anatoli F., Inst. Math.& Mech.UrBO RAN, Russian Federation Schneider Maxim A., Ural State Economic University, Russian Federation
Topic:	2.4 Optimal Control
Session:	Dynamic Games: Theory and Numerical Methods
Keywords:	Dynamic models, Game theory, Cooperation, Behavior

Abstract

In this game two players act in the class of mixed strategies and the third player acts in the class of pure strategies. The suggested approach for building dynamics uses the principle of non-decrease of players' payoffs, various behavior types for players and some special procedure of using Nash equilibria in auxiliary games. Cooperative variant of this procedure is suggested. A three-person repeated game of Prisoner's dilemma type is considered.