On the Invariance of the Set of Core Matchings with Respect to Preference Profiles

Autores
Martinez, Ruth; Massó, Jordi; Neme, Alejandro José; Oviedo, Jorge Armando
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the general many-to-one matching model with ordinal preferences and give a procedure to partition the set of preference profiles into subsets with the property that all preference profiles in the same subset have the same Core. We also show how to identify a profile of (incomplete) binary relations containing the minimal information needed to generate as strict extensions all the (complete) preference profiles with the same Core. This is important for applications since it reduces the amount of information that agents have to reveal about their preference relations to centralized Core matching mechanisms; moreover, this reduction is maximal
Fil: Martinez, Ruth. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina
Fil: Massó, Jordi. Universitat Autonoma de Barcelona; España
Fil: Neme, Alejandro José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina
Fil: Oviedo, Jorge Armando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina
Materia
Matching
Core
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/12444
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On the Invariance of the Set of Core Matchings with Respect to Preference ProfilesMartinez, RuthMassó, JordiNeme, Alejandro JoséOviedo, Jorge ArmandoMatchingCorehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider the general many-to-one matching model with ordinal preferences and give a procedure to partition the set of preference profiles into subsets with the property that all preference profiles in the same subset have the same Core. We also show how to identify a profile of (incomplete) binary relations containing the minimal information needed to generate as strict extensions all the (complete) preference profiles with the same Core. This is important for applications since it reduces the amount of information that agents have to reveal about their preference relations to centralized Core matching mechanisms; moreover, this reduction is maximalFil: Martinez, Ruth. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; ArgentinaFil: Massó, Jordi. Universitat Autonoma de Barcelona; EspañaFil: Neme, Alejandro José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; ArgentinaFil: Oviedo, Jorge Armando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; ArgentinaElsevier2012-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/12444Martinez, Ruth; Massó, Jordi; Neme, Alejandro José; Oviedo, Jorge Armando; On the Invariance of the Set of Core Matchings with Respect to Preference Profiles; Elsevier; Games and Economic Behaavior; 74; 2; 12-2012; 588-6000899-8256enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0899825611001394info:eu-repo/semantics/altIdentifier/doi/10.1016/j.geb.2011.08.011info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:02:46Zoai:ri.conicet.gov.ar:11336/12444instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:02:46.517CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the Invariance of the Set of Core Matchings with Respect to Preference Profiles
title On the Invariance of the Set of Core Matchings with Respect to Preference Profiles
spellingShingle On the Invariance of the Set of Core Matchings with Respect to Preference Profiles
Martinez, Ruth
Matching
Core
title_short On the Invariance of the Set of Core Matchings with Respect to Preference Profiles
title_full On the Invariance of the Set of Core Matchings with Respect to Preference Profiles
title_fullStr On the Invariance of the Set of Core Matchings with Respect to Preference Profiles
title_full_unstemmed On the Invariance of the Set of Core Matchings with Respect to Preference Profiles
title_sort On the Invariance of the Set of Core Matchings with Respect to Preference Profiles
dc.creator.none.fl_str_mv Martinez, Ruth
Massó, Jordi
Neme, Alejandro José
Oviedo, Jorge Armando
author Martinez, Ruth
author_facet Martinez, Ruth
Massó, Jordi
Neme, Alejandro José
Oviedo, Jorge Armando
author_role author
author2 Massó, Jordi
Neme, Alejandro José
Oviedo, Jorge Armando
author2_role author
author
author
dc.subject.none.fl_str_mv Matching
Core
topic Matching
Core
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider the general many-to-one matching model with ordinal preferences and give a procedure to partition the set of preference profiles into subsets with the property that all preference profiles in the same subset have the same Core. We also show how to identify a profile of (incomplete) binary relations containing the minimal information needed to generate as strict extensions all the (complete) preference profiles with the same Core. This is important for applications since it reduces the amount of information that agents have to reveal about their preference relations to centralized Core matching mechanisms; moreover, this reduction is maximal
Fil: Martinez, Ruth. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina
Fil: Massó, Jordi. Universitat Autonoma de Barcelona; España
Fil: Neme, Alejandro José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina
Fil: Oviedo, Jorge Armando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina
description We consider the general many-to-one matching model with ordinal preferences and give a procedure to partition the set of preference profiles into subsets with the property that all preference profiles in the same subset have the same Core. We also show how to identify a profile of (incomplete) binary relations containing the minimal information needed to generate as strict extensions all the (complete) preference profiles with the same Core. This is important for applications since it reduces the amount of information that agents have to reveal about their preference relations to centralized Core matching mechanisms; moreover, this reduction is maximal
publishDate 2012
dc.date.none.fl_str_mv 2012-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/12444
Martinez, Ruth; Massó, Jordi; Neme, Alejandro José; Oviedo, Jorge Armando; On the Invariance of the Set of Core Matchings with Respect to Preference Profiles; Elsevier; Games and Economic Behaavior; 74; 2; 12-2012; 588-600
0899-8256
url http://hdl.handle.net/11336/12444
identifier_str_mv Martinez, Ruth; Massó, Jordi; Neme, Alejandro José; Oviedo, Jorge Armando; On the Invariance of the Set of Core Matchings with Respect to Preference Profiles; Elsevier; Games and Economic Behaavior; 74; 2; 12-2012; 588-600
0899-8256
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0899825611001394
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.geb.2011.08.011
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.993085

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