Studied here is the problem of evaluating the formation of coalitions in cooperative games by considering its internal and external effects. Our analysis is based upon a formal theory of the quotient game and the use of multilinear extensions to compute the Shapley value and the coalitional value. W
โฆ LIBER โฆ
Multilinear extensions and values for multichoice games
โ Scribed by Michael A. Jones; Jennifer M. Wilson
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 270 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0340-9422
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In this paper, the definition of the Shapley function for fuzzy cooperative games is given, which is obtained by extending the classical case. The specific expression of the Shapley function for fuzzy cooperative games with multilinear extension form is given, and its existence and uniqueness are di