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The proportional coalitional Shapley value
dc.contributor.author | Alonso Meijide, José María |
dc.contributor.author | Carreras Escobar, Francisco |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2011-03-23T15:15:00Z |
dc.date.available | 2011-03-23T15:15:00Z |
dc.date.created | 2011-06 |
dc.date.issued | 2011-06 |
dc.identifier.citation | Alonso Meijide, J.M.; Carreras, F. The proportional coalitional Shapley value. "Expert systems with applications", Juny 2011, vol. 38, núm. 6, p. 6967-6979. |
dc.identifier.issn | 0957-4174 |
dc.identifier.uri | http://hdl.handle.net/2117/12035 |
dc.description.abstract | We propose a modification of the Shapley value for monotonic games with a coalition structure. The resulting coalitional value is a twofold extension of the Shapley value in the following sense: (1) the amount obtained by any union coincides with the Shapley value of the union in the quotient game; and (2) the players of the union share this amount proportionally to their Shapley value in the original game (i.e., without unions). We provide axiomatic characterizations of this value close to those existing in the literature for the Owen value and include applications to coalition formation in bankruptcy and voting problems. |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Game theory--Mathematical models |
dc.subject.lcsh | Cooperative games (Mathematics) |
dc.title | The proportional coalitional Shapley value |
dc.type | Article |
dc.subject.lemac | Jocs, Teoria de -- Models matemàtics |
dc.subject.lemac | Jocs cooperatius (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
dc.identifier.doi | 10.1016/j.eswa.2010.12.018 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0957417410013813 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 5381635 |
dc.description.version | Postprint (published version) |
local.citation.author | Alonso Meijide, J.M.; Carreras, F. |
local.citation.publicationName | Expert systems with applications |
local.citation.volume | 38 |
local.citation.number | 6 |
local.citation.startingPage | 6967 |
local.citation.endingPage | 6979 |
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