Convexity of fuzzy coalition games
نویسنده
چکیده
The deterministic coalition game theory is based on the presumption that all expected incomes of coalitions and individual players are exactly known even befor the bargaining process If we leave this presumption then we extend the original gamemodel into the fuzzy coalition game with vague i e fuzzy pay o s The vagueness of the pay o s leads to vagueness of some other concepts and prop erties like the superadditivity and convexity of the game or its core In this note we for mulate the concept of the convexity of fuzzy coalition games and discuss its properties in cluding the convexity of the game and the non emptiness of its core known from the de terministic coalition games theory The type of coalition games dealt in this contribution are the games with side payments
منابع مشابه
On Superadditivity and Convexity for Cooperative Games with Random Payoffs
In this paper we study the relations between superadditivity and several types of convexity for cooperative games with random payoffs. The types of convexity considered are marginal convexity (all marginal vectors belong to the core), individual-merge convexity (any individual player is better off joining a larger coalition) and coalitional-merge convexity (any coalition of players is better of...
متن کاملThe Owen Value for Fuzzy Games with a Coalition Structure
In this paper, we make a study of the Owen value for cooperative fuzzy games with a coalition structure, which can be regarded as the generalization of crisp case. An axiomatic system of the Owen value for fuzzy games with a coalition structure is obtained by extending the corresponding characterizations given by Owen. The relationship between the Owen value and the fuzzy core of fuzzy games wi...
متن کاملThe Banzhaf-Owen value for fuzzy games with a coalition structure
In this paper, a generalized form of the Banzhaf-Owen value for cooperative fuzzy games with a coalition structure is proposed. Its axiomatic system is given by extending crisp case. In order to better understand the Banzhaf-Owen value for fuzzy games with a coalition structure, we briefly introduce the Banzhaf-Owen values for two special kinds of fuzzy games with a coalition structure, and giv...
متن کاملA modified position value for communication situations and its fuzzification
Myerson treated various situations of cooperation in the field of cooperative games and proposed the communication structure. In this paper, we define and characterize an allocation rule in terms of the position value, called an average spanning tree solution, for communication situations by introducing a concept of cooperation relationship which says that two players are deemed to possess this...
متن کاملOn some families of cooperative fuzzy games
In a fuzzy cooperative game the players may choose to partially participate in a coalition. A fuzzy coalition consists of a group of participating players along with their participation level. The characteristic function of a fuzzy game specifies the worth of each such coalition. This paper introduces well-known properties of classical cooperative games to the theory of fuzzy games, and studies...
متن کامل