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dc.contributor.authorFreixas Bosch, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2010-09-29T15:31:33Z
dc.date.available2010-09-29T15:31:33Z
dc.date.created2010-09
dc.date.issued2010-09
dc.identifier.citationFreixas, J. On ordinal equivalence of the Shapley and Banzhaf values for cooperative games. "International journal of game theory", Setembre 2010, vol. 39, núm. 4, p. 513-527.
dc.identifier.issn0020-7276
dc.identifier.urihttp://hdl.handle.net/2117/9171
dc.description.abstractIn this paper I consider the ordinal equivalence of the Shapley and Banzhaf values for TU cooperative games, i.e., cooperative games for which the preorderings on the set of players induced by these two values coincide. To this end I consider several solution concepts within semivalues and introduce three subclasses of games which are called respectively: weakly complete, semicoherent and coherent cooperative games. A characterization theorem in terms of the ordinal equivalence of some semivalues is given for each of these three classes of cooperative games. In particular, the Shapley and Banzhaf values as well as the segment of semivalues they limit are ordinally equivalent for weakly complete, semicoherent and coherent cooperative games.
dc.format.extent15 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
dc.subject.lcshGame theory
dc.titleOn ordinal equivalence of the Shapley and Banzhaf values for cooperative games
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/s00182-009-0179-0
dc.subject.amsClassificació AMS::91 Game theory, economics, social and behavioral sciences
dc.rights.accessRestricted access - author's decision
local.identifier.drac2960782
dc.description.versionPostprint (author’s final draft)
local.citation.authorFreixas, J.
local.citation.publicationNameInternational journal of game theory
local.citation.volume39
local.citation.number4
local.citation.startingPage513
local.citation.endingPage527


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