Partially ordered cooperative games: extended core and Shapley value

In this paper we analyze cooperative games whose characteristic function takes values in a partially ordered linear space. Thus, the classical solution concepts in cooperative game theory have to be revisited and redefined: the core concept, Shapley–Bondareva theorem and the Shapley value are extend...

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Detalles Bibliográficos
Autores: Puerto Albandoz, Justo, Fernández, F.R., Hinojosa Bergillos, Yolanda
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/138659
Acceso en línea:https://hdl.handle.net/11441/138659
https://doi.org/10.1007/s10479-007-0242-9
Access Level:acceso abierto
Palabra clave:Cooperative games
Core
Shapley value
Partial order
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spelling Partially ordered cooperative games: extended core and Shapley valuePuerto Albandoz, JustoFernández, F.R.Hinojosa Bergillos, YolandaCooperative gamesCoreShapley valuePartial orderIn this paper we analyze cooperative games whose characteristic function takes values in a partially ordered linear space. Thus, the classical solution concepts in cooperative game theory have to be revisited and redefined: the core concept, Shapley–Bondareva theorem and the Shapley value are extended for this class of games. The classes of standard, vector-valued and stochastic cooperative games among others are particular cases of this general theory.SpringerEstadística e Investigación OperativaFQM331: Metodos y Modelos de la Estadistica y la Investigacion Operativa2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/138659https://doi.org/10.1007/s10479-007-0242-9reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésAnnals of operations research, 158 (1), 143-159.https://dx.doi.org/10.1007/s10479-007-0242-9info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1386592026-06-17T12:51:07Z
dc.title.none.fl_str_mv Partially ordered cooperative games: extended core and Shapley value
title Partially ordered cooperative games: extended core and Shapley value
spellingShingle Partially ordered cooperative games: extended core and Shapley value
Puerto Albandoz, Justo
Cooperative games
Core
Shapley value
Partial order
title_short Partially ordered cooperative games: extended core and Shapley value
title_full Partially ordered cooperative games: extended core and Shapley value
title_fullStr Partially ordered cooperative games: extended core and Shapley value
title_full_unstemmed Partially ordered cooperative games: extended core and Shapley value
title_sort Partially ordered cooperative games: extended core and Shapley value
dc.creator.none.fl_str_mv Puerto Albandoz, Justo
Fernández, F.R.
Hinojosa Bergillos, Yolanda
author Puerto Albandoz, Justo
author_facet Puerto Albandoz, Justo
Fernández, F.R.
Hinojosa Bergillos, Yolanda
author_role author
author2 Fernández, F.R.
Hinojosa Bergillos, Yolanda
author2_role author
author
dc.contributor.none.fl_str_mv Estadística e Investigación Operativa
FQM331: Metodos y Modelos de la Estadistica y la Investigacion Operativa
dc.subject.none.fl_str_mv Cooperative games
Core
Shapley value
Partial order
topic Cooperative games
Core
Shapley value
Partial order
description In this paper we analyze cooperative games whose characteristic function takes values in a partially ordered linear space. Thus, the classical solution concepts in cooperative game theory have to be revisited and redefined: the core concept, Shapley–Bondareva theorem and the Shapley value are extended for this class of games. The classes of standard, vector-valued and stochastic cooperative games among others are particular cases of this general theory.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/138659
https://doi.org/10.1007/s10479-007-0242-9
url https://hdl.handle.net/11441/138659
https://doi.org/10.1007/s10479-007-0242-9
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Annals of operations research, 158 (1), 143-159.
https://dx.doi.org/10.1007/s10479-007-0242-9
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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