The Owen and Banzhaf-Owen values revisited

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorAlonso Meijide, José María
dc.contributor.authorCasas Méndez, Balbina
dc.contributor.authorGonzález Rueda, Ángel Manuel
dc.contributor.authorLorenzo Freire, Silvia
dc.date.accessioned2025-01-18T21:12:59Z
dc.date.available2025-01-18T21:12:59Z
dc.date.issued2015
dc.descriptionThis is an Accepted Manuscript of an article published by Taylor & Francis in Optimization on 7 OOct 2015, available at: https://doi.org/10.1080/02331934.2015.1091823
dc.description.abstractIn this work, we consider games with coalitional structure. We afford two new parallel axiomatic characterizations for the well-known Owen and Banzhaf–Owen coalitional values. Two properties are common to both characterizations: a property of balanced contributions and a property of neutrality. The results prove that the main difference between these two coalitional values is that the former is efficient, while the latter verifies a property of 2-efficiency.
dc.description.peerreviewedSI
dc.description.sponsorshipFinancial support from Ministerio de Ciencia y Tecnolog´ıa, Ministerio de Economía y Competitividad, and FEDER through grants MTM2011-27731-C03-02, ECO2011- 23460, MTM2014-53395-C3-1-P, and MTM2014-53395-C3-2-P is gratefully acknowledged. We also thank two anonymous referees for some thoughtful and constructive comments.
dc.identifier.citationAlonso-Meijide, J. M., Casas-Méndez, B., González-Rueda, A. M., & Lorenzo-Freire, S. (2015). The Owen and Banzhaf–Owen values revisited. Optimization, 65(6), 1277–1291. https://doi.org/10.1080/02331934.2015.1091823
dc.identifier.doi10.1080/02331934.2015.1091823
dc.identifier.issn0233-1934
dc.identifier.issn1029-4945
dc.identifier.urihttps://hdl.handle.net/10347/38705
dc.issue.number6
dc.journal.titleOptimization
dc.language.isoeng
dc.page.final1291
dc.page.initial1277
dc.publisherTaylor and Francis
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2011-27731-C03-02/ES/TEORIA DE JUEGOS Y APLICACIONES EN CIENCIAS SOCIALES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//ECO2011-23460/ES/REGLAS DE REPARTO EN DIVERSOS PROBLEMAS ECONOMICOS/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-53395-C3-1-P/ES/OPTIMIZACION Y REPARTO EN PROBLEMAS DE DECISION MULTI-AGENTE CON APLICACIONES EN PROBLEMAS DE RUTAS/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-53395-C3-2-P/ES/OPTIMIZACION Y REPARTO EN PROBLEMAS DE DECISION MULTI-AGENTE CON APLICACIONES EN EXTINCION DE INCENDIOS/
dc.relation.publisherversionhttps://doi.org/10.1080/02331934.2015.1091823
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectCooperative game
dc.subjectShapley value
dc.subjectBanzhaf value
dc.subjectCoalition structure
dc.subjectCoalitional value
dc.subjectBalanced contributions
dc.titleThe Owen and Banzhaf-Owen values revisited
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number65
dspace.entity.typePublication
relation.isAuthorOfPublication10b33b0c-7184-4a49-b821-ce58e1dd1216
relation.isAuthorOfPublicationc100cb7d-00b2-441f-900b-617d886e5dee
relation.isAuthorOfPublication01fcf862-3c76-41b7-ae3c-d397b96d55d2
relation.isAuthorOfPublication.latestForDiscovery10b33b0c-7184-4a49-b821-ce58e1dd1216

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