Characterization of a value for games under restricted cooperation

Albizuri Irigoyen, Miren Iosune; Masuya, Satoshi; Zarzuelo Zarzosa, José Manuel

dc.contributor.author	Albizuri Irigoyen, Miren Iosune
dc.contributor.author	Masuya, Satoshi
dc.contributor.author	Zarzuelo Zarzosa, José Manuel
dc.date.accessioned	2025-01-29T16:01:43Z
dc.date.available	2025-01-29T16:01:43Z
dc.date.issued	2022
dc.identifier.citation	Annals of Operations Research 318 : 773-785 (2022)	es_ES
dc.identifier.issn	0254-5330
dc.identifier.uri	http://hdl.handle.net/10810/72000
dc.description.abstract	The object of this paper is to study restricted cooperative games, that is, cooperative games for which the worth of some coalitions is unknown. We consider a value for these restricted cooperative games whose definition is based on the Harsanyi's dividends approach, and can therefore be seen as an extension of the Shapley value. We provide a characterization of this value with three axioms: Carrier, Symmetric-partnership and Additivity, which are similar to those proposed by Shapley (in: Kuhn and Tucker (eds) Contributions to the theory of games, Princeton University Press, Princeton, 1953). In addition, we characterize this value on the subclass of restricted cooperative simple games. Finally, we apply this value for restricted cooperative games to analyze the power distribution of the Catalonian Parliament in 1980 and compare the results with those of the coalitional value in Carreras and Owen (Math Soc Sci 15:87-92, 1988).	es_ES
dc.description.sponsorship	UPV/EHU GIU17/0151 UPV/EHU GIU20/019 Ministerio de Ciencia e Innovación PID2019-105291GB-I00	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Springer Nature	es_ES
dc.relation	info:eu-repo/grantAgreement/MICINN/PID2019-105291GB-I00	es_ES
dc.rights	info:eu-repo/semantics/openAccess	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	restricted cooperative games	es_ES
dc.subject	shapley value	es_ES
dc.subject	R-value	es_ES
dc.subject	conference structures	es_ES
dc.title	Characterization of a value for games under restricted cooperation	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.rights.holder	© The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.	es_ES
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s10479-022-04768-3	es_ES
dc.identifier.doi	10.1007/s10479-022-04768-3
dc.departamentoes	Métodos Cuantitativos	es_ES
dc.departamentoeu	Metodo Kuantitatiboak	es_ES

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© The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Except where otherwise noted, this item's license is described as © The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.