Research On The Solutions Of Repeated Fuzzycooperative Games

In game theory, cooperative game has received a generous concern from scholars and become a research focus in academia. Half a century has witnessed the formation of the mature theory of cooperative game. In 1974, Aubin put forth the idea fuzzy cooperative game, after this,as an emerging branch of game theory,fuzzy game theory has attracted many scholar's interests. Recently scholars also conduct researches on various aspects of repeated games.Repeated non-cooperative games are studied by many scholars, and some significant results are obtained. Repeated fuzzy cooperative game is mainly studied in this paper.We give the properties of weak core,weak set andτ-core of sum-comp- ound repeated fuzzy game by redefining the notion of domination of fuzzy game;We combine L-limit fuzzy game and repeated game, and study the properties of core and stable set of repeated L-limit fuzzy cooperative game.This paper is divided into four parts. The first part serves as an introducti- on, providing histories of classical games theory, background and practicalvalue of the paper.In the second part we define theτ-core ,weak core and weak stable set of fuzzy cooperative game, and then the properties of them were given.In the third part we expand repeated cooperative game theory to fuzzy spa- ce taking fuzzy coalition as a tool and establish sum-compound repeated coope- rative game model, thereby the concept ofτ-core ,weak core and weak stable set are given, In the following the relations between them and the properties of them were given.In the last part we import the L-limit game theory into the repeated cooperative game and establish L-limit repeated cooperative games model, the properties of core ,stable set ,weak core, weak stable set, strongεcore andτ-core are given.