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Reconstructing a simple game from a uniparametric family of allocations

dc.contributor.authorAmer Ramon, Rafael
dc.contributor.authorGiménez Pradales, José Miguel
dc.contributor.authorMagaña Nieto, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2013-12-04T16:00:12Z
dc.date.created2013-10-01
dc.date.issued2013-10-01
dc.identifier.citationAmer, R.; Gimenez, J.; Magaña, A. Reconstructing a simple game from a uniparametric family of allocations. "TOP", 01 Octubre 2013, vol. 21, núm. 3, p. 505-523.
dc.identifier.issn1134-5764
dc.identifier.urihttp://hdl.handle.net/2117/20914
dc.description.abstractSeveral relationships between simple games and a particular type of solu- tions for cooperative games are studied in this paper. These solutions belong to the set of semivalues and they are related to a unique parameter that explicitly provides their weighting coefficients. Through the allocations offered by this family of solu- tions, so-called binomial semivalues, and also from their respective potentials, some characteristics of the simple games can be recovered. The paper analyzes the capacity of binomial semivalues to summarize the structure of simple games, and, moreover, a property of separation among simple games is given.
dc.format.extent19 p.
dc.language.isoeng
dc.publisherSpringer
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
dc.subject.lcshGame theory
dc.subject.otherBanzhaf value
dc.subject.otherGame theory
dc.subject.otherPotential
dc.subject.otherSemivalue
dc.subject.otherSimple game
dc.titleReconstructing a simple game from a uniparametric family of allocations
dc.typeArticle
dc.subject.lemacJocs, Teoria de
dc.contributor.groupUniversitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
dc.identifier.doi10.1007/s11750-011-0194-8
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs11750-011-0194-8
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac12883531
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorAmer, R.; Gimenez, J.; Magaña, A.
local.citation.publicationNameTOP
local.citation.volume21
local.citation.number3
local.citation.startingPage505
local.citation.endingPage523


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