Research On The Solutions Of Repeated Fuzzy Cooperative Games

In game theory, A fuzzy game and a repeated game has received a generous concern from scholars and become a research focus in academia. The most studied problem in the cooperative game is the study of game theory in uncertain circumstance. The fuzzy cooperative game is one of its research. Its research focus on players who participate in the degree of fuzzy coalition to solve; To solve cooperative game as pay function in fuzzy circumstance. Those cooperative game with fuzzy information can refer to as the fuzzy cooperative game. For the two research points, people put forward to all sorts of solution concepts .but every satisfies to rational and the principle of rationality. The paper focus on the first fuzzy cooperative game situation.The main thesis is the fuzzy cooperative model by adding repeat cooperative game theory, set up repeat fuzzy cooperative model.It is given several differently structure of core under different condition in the fuzzy allocation n-person fuzzy cooperative game, That is, the structure of core for stage game,the structure of core and proper core and dominance core and crisp core for repeated fuzzy cooperative game .as well as discussed relation each other.And we study repeated convex fuzzy cooperative game. In addition, the paper study the core characteristics of the repeated fuzzy cooperative game .The paper is organized as follows: First,providing histories of classical games theory, background and practical value of the paper. Second,we give the conception of core,weak core, stable set and weak stable set by redefining the notion of domination, then discuss the properties of these solutions in repeated cooperative game.The next we introduce core ,stable set and some basic theories of the fuzzy cooperative game and repeated fuzzy cooperative game. It is given several differently structure of core under different condition in the fuzzy allocation n-person fuzzy cooperative game as well as discussed relation each other.And we study the convex fuzzy cooperative game which is a type of special and important model.Finally, we take the model of reduced game,has joined repeated theory, has established repeated fuzzy reduced game model. We study their core axiomatic characteristics of the game.