×

Cooperative fuzzy games with restrictions on coalitions. (English) Zbl 1149.91016

Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 3rd international conference
(NACA2003), Tokyo, Japan, August 25–29, 2003. Yokohama: Yokohama Publishers (ISBN 4-946552-15-4/hbk). 323-345 (2004).
Two topics within the theory of cooperative fuzzy games are studied. One is a new definition of Shapley value for fuzzy games. The other is cooperative fuzzy games with restrictions on coalitions. The concept of a feasible coalition set is introduced and the corresponding notion of restricted game is defined. The relationship between the original cooperative fuzzy game and the restricted game is investigated. Two solution concepts, the core and the Myerson value, are studied within the class of restricted games. In particular, the Myerson value is defined using the new definition of Shapley value proposed in this paper.
For the entire collection see [Zbl 1063.00012].

MSC:

91A12 Cooperative games
PDFBibTeX XMLCite