Research On The Solutions Of N-Person Cooperativ Game

In game theory, Classical game theory has already developed quite maturely, but fuzzy cooperative game and stochastic cooperative game gradually become the research focus and has received a generous concern. In this paper we introduce two new classes of games, namely, the class of convex fuzzy coalition games and the class of fuzzy clan games, and focus on the interrelation of the two game classes'cores with classical games'core, at the same time the classical Shapley axiom can be revised to obtain the Shapley- value in fuzzy games. The most studied problems in stochastic cooperative game are how to divide the total earnings of grand coalition if the payoff to coalition is uncertain. As these problems the aim of this paper is to study classical solutions of stochastic cooperative game,such as boundary value,dividend value,select value,core,Shapley-value and so on, and give some characters in order to a better understanding of the player's behavior in the stochastic cooperative games.This paper can be divided into four chapters:First chapter introduces development histories of classical games theory and fuzzy coalition games, this chapter also produces a brief narration to the fuzzy coalition games research method.Second chapter we study TU fuzzy coalition games and introduce the core, the Shapley- value, theC -value, the egalitarian solution as well as and so on. In third chapter we extend the notions of TU game of core to stochastic cooperative game, and then we gain the definitions of stochastic cooperative game and the relation between cores.In forth chapter the deformed classical solution Shapley -value formula of cooperative game is extended to stochastic cooperative game. we get three Shapley similar solutions and discuss the relations between them.