Estimation of the Owen Value Based on Sampling

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UDC.coleccionInvestigación
UDC.departamentoMatemáticas
UDC.endPage356
UDC.grupoInvModelización, Optimización e Inferencia Estatística (MODES)
UDC.inbookTitleThe Mathematics of the Uncertain
UDC.startPage347
UDC.volumeStudies in Systems, Decision and Control, v. 142
dc.contributor.authorSaavedra-Nieves, Alejandro
dc.contributor.authorGarcía-Jurado, Ignacio
dc.contributor.authorFiestras Janeiro, María Gloria
dc.date.accessioned2025-10-23T16:01:29Z
dc.date.available2025-10-23T16:01:29Z
dc.date.issued2018-03
dc.descriptionThis version of the paper has been accepted for publication, after peer review, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/978-3-319-73848-2_33.
dc.description.abstract[Abstract]: In this paper we introduce a procedure based on sampling to estimate the Owen value of a cooperative game. It is an adaptation of an analogous procedure for the estimation of the Shapley value, and it is specially useful when dealing with games having large sets of players. We provide some results in order to choose a sample size guaranteeing a bound for the absolute error with a given probability, and illustrate our procedure with an example taken from the game theoretical literature.
dc.description.sponsorshipThis work has been supported by MINECO grants MTM2014-53395-C3-1-P, MTM2014-53395-C3-2-P, MTM2014-53395-C3-3-P, and by the Xunta de Galicia through the ERDF (Grupos de Referencia Competitiva ED431C-2016-015 and ED431C-2016-040, and Centro Singular de Investigación de Galicia ED431G/01).
dc.description.sponsorshipXunta de Galicia; ED431C-2016-015
dc.description.sponsorshipXunta de Galicia; ED431C-2016-040
dc.description.sponsorshipXunta de Galicia; ED431G/01
dc.identifier.citationSaavedra-Nieves, A., García-Jurado, I., Fiestras-Janeiro, M.G. (2018). Estimation of the Owen Value Based on Sampling. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_33
dc.identifier.doi10.1007/978-3-319-73848-2_33
dc.identifier.isbn978-3-319-73847-5
dc.identifier.issn2198-4182
dc.identifier.urihttps://hdl.handle.net/2183/46082
dc.language.isoeng
dc.publisherSpringer Cham
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.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-53395-C3-3-P/ES/OPTIMIZACION Y REPARTO EN PROBLEMAS DE DECISION MULTI-AGENTE CON APLICACIONES EN GESTION DE INVENTARIOS/
dc.relation.urihttps://doi.org/10.1007/978-3-319-73848-2_33
dc.rights© 2018 Springer International Publishing AG. Subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms).
dc.rights.accessRightsopen access
dc.subjectCooperative games
dc.subjectOwen value
dc.subjectSampling procedure
dc.titleEstimation of the Owen Value Based on Sampling
dc.typebook part
dspace.entity.typePublication
relation.isAuthorOfPublicationcb3b1824-aa6b-4d54-aa7a-780e0247594b
relation.isAuthorOfPublication.latestForDiscoverycb3b1824-aa6b-4d54-aa7a-780e0247594b

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