Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 43, Issue 1, Pages 75-95Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2013.844695
Keywords
cooperative game; fuzzy coalitions; vague expectation; Shapley mapping
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Funding
- GACR P [402/11/0378]
- VEGA [1/0171/12]
- MRP, UGC-India [42-26/2013(SR)]
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We survey the recent developments in the studies of cooperative games under fuzzy environment. The basic problems of a cooperative game in both crisp and fuzzy contexts are to find how the coalitions form vis-a-vis how the coalitions distribute the worth. One of the fuzzification processes assumes that the coalitions thus formed are fuzzy in nature having only partial participations of the players. A second group of researchers fuzzify the worths of the coalitions while a few others assume that both the coalitions and the worths are fuzzy quantities. Among the various solution concepts of a cooperative game, the Shapley value is the most popular one-point solution concept which is characterized by a set of rational axioms. We confine our study to the developments of the Shapley value in fuzzy setting and try to highlight the respective characterizations.
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