On the estimation of the core for TU games

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizaciónes_ES
dc.contributor.authorSaavedra Nieves, Alejandro
dc.contributor.authorSaavedra Nieves, Paula
dc.date.accessioned2024-03-26T08:13:04Z
dc.date.available2024-03-26T08:13:04Z
dc.date.issued2024
dc.description.abstractThe core of a transferable utility (TU) game, if it is not empty, is prescribed by the set of all stable allocations. The exact determination of the core reaches exponential time complexity. Therefore, its exact computation is often avoided as the number of players increases. In this work, we propose an estimator for the core of a TU game based on the statistical theory of set estimation. Concretely, we provide a core reconstruction that is obtained in polynomial time for general dimension. Additionally, convergence rates for the estimation error are derived. Finally, a consistent core-center estimator is established as a geometrical application of this methodology.es_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipThis work has been supported under grants PID2021-124030NBC32, PID2020-118101GB-I00 and PID2020-116587GB-I00, and under grant GRC ED431C 2021/24, funded by Consellería de Cultura, Educación e Universidades, Spain, Xunta de Galicia, Spain. Authors also acknowledge Professors Justo Puerto, Alberto Rodríguez-Casal and Rosa M. Crujeiras for their insightful comments on this paper and the referees for the constructive suggestions which have improved the manuscript.es_ES
dc.identifier.citationSaavedra-Nieves A., Saavedra-Nieves P. (2024). On the estimation of the core for TU games. Expert Systems with Applications, Volume 245, 123132es_ES
dc.identifier.doi10.1016/j.eswa.2023.123132
dc.identifier.issn0957-4174
dc.identifier.urihttp://hdl.handle.net/10347/33342
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-118101GB-I00/ES/NUEVOS AVANCES METODOLOGICOS Y COMPUTATIONALES EN ESTADISTICA NO PARAMETRICA Y SEMIPARAMETRICA/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116587GB-I00/ES/DINAMICA COMPLEJA E INFERENCIA NO PARAMETRICA/es_ES
dc.rights© 2024 The Author(s). Published by Elsevier Ltd. Attribution-NonCommercial-NoDerivatives 4.0 Internacionales_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectGame theoryes_ES
dc.subjectCore estimatores_ES
dc.subjectSet estimationes_ES
dc.subjectConvex hulles_ES
dc.subjectCore-center estimatores_ES
dc.titleOn the estimation of the core for TU gameses_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoRes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication01da7c7d-b2ca-4b5f-a128-bfcc4ddc4ff7
relation.isAuthorOfPublication4e59d256-3244-4910-9f6f-8fd084214850
relation.isAuthorOfPublication.latestForDiscovery4e59d256-3244-4910-9f6f-8fd084214850

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