Order monotonic solutions for generalized characteristic functions

Generalized characteristic functions extend characteristic functions of 'classical' TU-games by assigning a real number to every ordered coalition being a permutation of any subset of the player set. Such generalized characteristic functions can be applied when the earnings or costs of coo...

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Detalles Bibliográficos
Autores: Van den Brink, René, González Arangüena, Enrique, Manuel García, Conrado Miguel, Pozo Juan, Mónica
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/102148
Acceso en línea:https://hdl.handle.net/20.500.14352/102148
Access Level:acceso abierto
Palabra clave:519.2
517.5
519.813
Game theory
Cooperative TU-game
Generalized characteristic function
Order monotonicity
Estadística
Funciones (Matemáticas)
Teoría de Juegos
1209 Estadística
1206 Análisis Numérico
1207.06 Teoría de Juegos
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oai_identifier_str oai:docta.ucm.es:20.500.14352/102148
network_acronym_str ES
network_name_str España
repository_id_str
spelling Order monotonic solutions for generalized characteristic functionsVan den Brink, RenéGonzález Arangüena, EnriqueManuel García, Conrado MiguelPozo Juan, Mónica519.2517.5519.813Game theoryCooperative TU-gameGeneralized characteristic functionOrder monotonicityEstadísticaFunciones (Matemáticas)Teoría de Juegos1209 Estadística1206 Análisis Numérico1207.06 Teoría de JuegosGeneralized characteristic functions extend characteristic functions of 'classical' TU-games by assigning a real number to every ordered coalition being a permutation of any subset of the player set. Such generalized characteristic functions can be applied when the earnings or costs of cooperation among a set of players depend on the order in which the players enter a coalition. In the literature, the two main solutions for generalized characteristic functions are the one of Nowak and Radzik (1994), shortly called NR-value, and the one introduced by Sanchez and Bergantinos (1997), shortly called SB-value. In this paper, we introduce the axiom of order monotonicity with respect to the order of the players in a unanimity coalition, requiring that players who enter earlier should get not more in the corresponding (ordered) unanimity game than players who enter later. We propose several classes of order monotonic solutions for generalized characteristic functions that contain the NR-value and SB-value as special (extreme) cases. We also provide axiomatizations of these classes.ElsevierSłowiński, R.Borgonovo E.Universidad Complutense de Madrid20142014-11-0120142014-11-01journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/102148reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/1021482026-06-02T12:44:21Z
dc.title.none.fl_str_mv Order monotonic solutions for generalized characteristic functions
title Order monotonic solutions for generalized characteristic functions
spellingShingle Order monotonic solutions for generalized characteristic functions
Van den Brink, René
519.2
517.5
519.813
Game theory
Cooperative TU-game
Generalized characteristic function
Order monotonicity
Estadística
Funciones (Matemáticas)
Teoría de Juegos
1209 Estadística
1206 Análisis Numérico
1207.06 Teoría de Juegos
title_short Order monotonic solutions for generalized characteristic functions
title_full Order monotonic solutions for generalized characteristic functions
title_fullStr Order monotonic solutions for generalized characteristic functions
title_full_unstemmed Order monotonic solutions for generalized characteristic functions
title_sort Order monotonic solutions for generalized characteristic functions
dc.creator.none.fl_str_mv Van den Brink, René
González Arangüena, Enrique
Manuel García, Conrado Miguel
Pozo Juan, Mónica
author Van den Brink, René
author_facet Van den Brink, René
González Arangüena, Enrique
Manuel García, Conrado Miguel
Pozo Juan, Mónica
author_role author
author2 González Arangüena, Enrique
Manuel García, Conrado Miguel
Pozo Juan, Mónica
author2_role author
author
author
dc.contributor.none.fl_str_mv Słowiński, R.
Borgonovo E.
Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 519.2
517.5
519.813
Game theory
Cooperative TU-game
Generalized characteristic function
Order monotonicity
Estadística
Funciones (Matemáticas)
Teoría de Juegos
1209 Estadística
1206 Análisis Numérico
1207.06 Teoría de Juegos
topic 519.2
517.5
519.813
Game theory
Cooperative TU-game
Generalized characteristic function
Order monotonicity
Estadística
Funciones (Matemáticas)
Teoría de Juegos
1209 Estadística
1206 Análisis Numérico
1207.06 Teoría de Juegos
description Generalized characteristic functions extend characteristic functions of 'classical' TU-games by assigning a real number to every ordered coalition being a permutation of any subset of the player set. Such generalized characteristic functions can be applied when the earnings or costs of cooperation among a set of players depend on the order in which the players enter a coalition. In the literature, the two main solutions for generalized characteristic functions are the one of Nowak and Radzik (1994), shortly called NR-value, and the one introduced by Sanchez and Bergantinos (1997), shortly called SB-value. In this paper, we introduce the axiom of order monotonicity with respect to the order of the players in a unanimity coalition, requiring that players who enter earlier should get not more in the corresponding (ordered) unanimity game than players who enter later. We propose several classes of order monotonic solutions for generalized characteristic functions that contain the NR-value and SB-value as special (extreme) cases. We also provide axiomatizations of these classes.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-11-01
2014
2014-11-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/102148
url https://hdl.handle.net/20.500.14352/102148
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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