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dc.contributor.authorFreixas Bosch, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationFreixas, J. A value for j-cooperative games: some theoretical aspects and applications. A: "Handbook of the Shapley value". CRC Press, 2019, p. 281-312.
dc.descriptionThis is an Accepted Manuscript of a book chapter published by Routledge/CRC Press in Handbook of the Shapley value on December 6, 2019, available online:
dc.description.abstractA value that has all the ingredients to be a generalization of the Shapley value is proposed for a large class of games called j-cooperative games which are closely related to multi-choice games. When it is restricted to cooperative games, i.e. when j equals 2, it coincides with the Shapley value. An explicit formula in terms of some marginal contributions of the characteristic function is provided for the proposed value. Different arguments support it: (1) The value can be inferred from a natural probabilistic model. (2) An axiomatic characterization uniquely determines it. (3) The value is consistent in its particularization from j-cooperative games to j-simple games. This chapter also proposes various ways of calculating the value by giving an alternative expression that does not depend on the marginal contributions. This chapter shows how the technique of generating functions can be applied to determine such a value when the game is a weighted j-simple game. The chapter concludes by presenting several applications, among them the computation of the value for a proposed reform of the UNSC voting system.
dc.format.extent32 p.
dc.publisherCRC Press
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
dc.subject.lcshCooperative games (Mathematics)
dc.subject.lcshGame theory
dc.subject.lcshVoting -- Mathematical models
dc.titleA value for j-cooperative games: some theoretical aspects and applications
dc.typePart of book or chapter of book
dc.subject.lemacJocs cooperatius (Matemàtica)
dc.subject.lemacJocs, Teoria de
dc.subject.lemacVot -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
local.citation.authorFreixas, J.
local.citation.publicationNameHandbook of the Shapley value

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