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Necessary players and values
dc.contributor.author | Gonçalves-Dosantos, J.C. | |
dc.contributor.author | García-Jurado, Ignacio | |
dc.contributor.author | Costa, Julián | |
dc.contributor.author | Alonso-Meijide, José María | |
dc.date.accessioned | 2024-01-31T16:53:23Z | |
dc.date.available | 2024-01-31T16:53:23Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Gonçalves-Dosantos, J.C., García-Jurado, I., Costa, J. et al. Necessary players and values. Ann Oper Res 318, 935–961 (2022). https://doi.org/10.1007/s10479-021-03950-3 | es_ES |
dc.identifier.issn | 0254-5330 | |
dc.identifier.issn | 1572-9338 | |
dc.identifier.uri | http://hdl.handle.net/2183/35296 | |
dc.description | This version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, 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/s10479-021-03950-3. | es_ES |
dc.description.abstract | [Abstract]: In this paper we introduce the Γ value, a new value for cooperative games with transferable utility. We also provide an axiomatic characterization of the Γ value based on a property concerning the so-called necessary players. A necessary player of a game is one without which the characteristic function is zero. We illustrate the performance of the Γ value in a particular cost allocation problem that arises when the owners of the apartments in a building plan to install an elevator and share its installation cost; in the resulting example we compare the proposals of the Γ value, the equal division value and the Shapley value in two different scenarios. In addition, we propose an extension of the Γ value for cooperative games with transferable utility and with a coalition structure. Finally, we provide axiomatic characterizations of the coalitional Γ value and of the Owen and Banzhaf-Owen values using alternative properties concerning necessary players. | es_ES |
dc.description.sponsorship | This work has been supported by the ERDF, the MINECO/AEI grants MTM2017-87197-C3-1-P, MTM2017-87197-C3-3-P, and by the Xunta de Galicia (Grupos de Referencia Competitiva ED431C-2016-015, ED431C-2017-38 and ED431C-2020-14, and Centro Singular de Investigación de Galicia ED431G 2019/01). We also acknowledge the comments of two anonymous referees that have been very useful to improve this paper. | es_ES |
dc.description.sponsorship | Xunta de Galicia; ED431C-2016-015 | es_ES |
dc.description.sponsorship | Xunta de Galicia; ED431C-2017-38 | es_ES |
dc.description.sponsorship | Xunta de Galicia; ED431C-2020-14 | es_ES |
dc.description.sponsorship | Xunta de Galicia; ED431G 2019/01 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | es_ES |
dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-87197-C3-1-P/ES/OPTIMIZACION Y COOPERACION CON APLICACIONES EN ECONOMIA, ENERGIA Y LOGISTICA | es_ES |
dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-87197-C3-3-P/ES/OPTIMIZACION Y COOPERACION CON APLICACIONES EN ENERGIA | es_ES |
dc.relation.uri | https://doi.org/10.1007/s10479-021-03950-3 | es_ES |
dc.rights | Todos os dereitos reservados. All rights reserved. | es_ES |
dc.subject | Cooperative game | es_ES |
dc.subject | Necessary player | es_ES |
dc.subject | Coalition structure | es_ES |
dc.subject | Value | es_ES |
dc.title | Necessary players and values | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
UDC.journalTitle | Annals of Operations Research | es_ES |
UDC.volume | 318 | es_ES |
UDC.startPage | 935 | es_ES |
UDC.endPage | 961 | es_ES |
dc.identifier.doi | 10.1007/s10479-021-03950-3 |
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