In this paper, we adopt supreme-utilities among fuzzy level (decision) vectors to propose a power allocation rule, its efficient extension and normalization in the framework of multicriteria fuzzy transferable-utility (TU) games. We also provide several axiomatic results to present the rationality for these rules. Based on different viewpoints, we introduce different formulations and dynamic re...

By considering the supreme-utilities among fuzzy sets and the weights among participants simultaneously, we introduce the supreme-weighted value on fuzzy transferable-utility games. Further, we provide some equivalent relations to characterize the family of all solutions that admit a potential on weights. We also propose the dividend approach to provide alternative viewpoint for the potential a...

The present work is concerned with cooperative games with transferable utility the characteristic function of which may have fuzzy values. Main attention is devoted to notions of superadditivity, convexity, core, and Shapley value. It turns out that the proposed fuzzy counterparts of these notions eliminate difficulties and disappointing features connected with previous approaches.

Based on several equivalent relations, this paper is aimed to axiomatize the family of all solutions that admit a potential in the framework of fuzzy transferable-utility (TU) games. Further, several axiomatic results of the consistent value are also proposed by applying these equivalent relations.

Connecting between standard AI planning constructs and a classical cooperative model of transferable-utility coalition games, we introduce the notion of transferable-utility (TU) planning games. The key representational property of these games is that coalitions are valued implicitly based on their ability to carry out efficient joint plans. On the side of the expressiveness, we show that exist...

Utility theories for the de ̄nitions of cooperative games and associated solution concepts are discussed. A game with side payments needs the assumptions of transferable utility and side payments. We discuss the axioms for the transferable utility assumption and also the role of side payments for various solution concepts. We also discuss games without side payments, which do not require the ass...

The mechanism by Hart and Mas-Colell (1996) for non-transferable utility (NTU) games is generalized so that a coalition structure among players is taken into account. The new mechanism yields the Owen value for transferable utility (TU) games with coalition structure as well as the consistent value (Maschler and Owen 1989, 1992) for NTU games with trivial coalition structure. Furthermore, we ob...

This paper considers non-transferable utility games and provides sufftcient conditions for the existence of the bargaining set introduced in Mas-Cole11 (1989). Our main assumption is weak balancedness. This assumption is weaker than balancedness and is satisfied in all transferable utility games and all three-player games. The proof of our main result is based on an application of a coincidence...