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The Shapley group value

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dc.affiliation.dptoUC3M. Departamento de Estadísticaes
dc.contributor.authorFlores Díaz, Ramón Jesús
dc.contributor.authorMolina, Elisenda
dc.contributor.authorTejada, Juan
dc.contributor.editorUniversidad Carlos III de Madrid. Departamento de Estadísticaes
dc.date.accessioned2013-12-02T17:23:31Z
dc.date.available2013-12-02T17:23:31Z
dc.date.issued2013-11-01
dc.description.abstractFollowing the original interpretation of the Shapley value (Shapley, 1953a) as a priori evaluation of the prospects of a player in a multi-person iteraction situation, we propose a group value, which we call the Shapley group value, as a priori evaluation of the prospects of a group of players in a coalitional game when acting as a unit. We study its properties and we give an axiomatic characterization. We motivate our proposal by means of some relevant applications of the Shapley group value, when it is used as an objective function by a decision maker who is trying to identify an optimal group of agents in a framework in which agents interact and the attained benefit can be modeled by means of a transferable utility game. As an illustrative example we analyze the problem of identifying the set of key agents in a terrorist network.en
dc.description.sponsorshipThis research has been supported by I+D+i research project MTM2011-27892 from the Government of Spainen
dc.format.mimetypeapplication/pdf
dc.identifier.repecws133430
dc.identifier.urihttps://hdl.handle.net/10016/17983
dc.identifier.uxxiDT/0000001139es
dc.language.isoenges
dc.relation.ispartofseriesUC3M Working papers. Statistics and Econometrics Seriesen
dc.relation.ispartofseries13-30es
dc.relation.projectIDGobierno de España. MTM2011-27892
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.otherGame Theoryen
dc.subject.otherTU gamesen
dc.subject.otherShapley valueen
dc.subject.otherGroup valuesen
dc.titleThe Shapley group valueen
dc.typeworking paper*
dspace.entity.typePublication
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