An equivalent formulation for the Shapley value

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Title:	An equivalent formulation for the Shapley value
Author:	Freixas Bosch, Josep
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
Abstract:	The final authenticated version is available online at: https://doi.org/10.1007/978-3-662-58464-4_1.
Abstract:	An equivalent explicit formula for the Shapley value is provided, its equivalence with the classical one is proven by double induction. The importance of this new formula, in contrast to the classical one, is its capability of being extended to more general classes of games, in particular to j-cooperative games or multichoice games, in which players choose among different levels of participation in the game.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs -Game theory -Cooperative games (Mathematics) -Cooperative games -Marginal contributions -Shapley value -Alternative formulations -Potential generalizations -Jocs, Teoria de -Jocs cooperatius (Matemàtica) -Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory
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Document type:	Article - Published version Book Part
Published by:	Springer
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