On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria
- Autores
- Massó, Jordi; Neme, Alejandro José
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We study two cooperative solutions of a market with indivisible goods modeled as a generalized assignment game: Set-wise stability and Core. We establish that the Set-wise stable set is contained in the Core and contains the non-empty set of competitive equilibrium payoffs. We then state and prove three limit results for replicated markets. First, the Set-wise stable set of a two-fold replicated market already coincides with the set of competitive equilibrium payoffs. Second, the sequence of Cores of replicated markets converges to the set of competitive equilibrium payoffs when the number of replicas tends to infinity. Third, for any number of replicas there is a market with a Core payoff that is not a competitive equilibrium payoff.
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 - Materia
-
Assignment game
Core
Set-wise stability
Competitive equilibrium - Nivel de accesibilidad
- acceso embargado
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/5802
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On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive EquilibriaMassó, JordiNeme, Alejandro JoséAssignment gameCoreSet-wise stabilityCompetitive equilibriumhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study two cooperative solutions of a market with indivisible goods modeled as a generalized assignment game: Set-wise stability and Core. We establish that the Set-wise stable set is contained in the Core and contains the non-empty set of competitive equilibrium payoffs. We then state and prove three limit results for replicated markets. First, the Set-wise stable set of a two-fold replicated market already coincides with the set of competitive equilibrium payoffs. Second, the sequence of Cores of replicated markets converges to the set of competitive equilibrium payoffs when the number of replicas tends to infinity. Third, for any number of replicas there is a market with a Core payoff that is not a competitive equilibrium payoff.Fil: 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; ArgentinaElsevier2014-10-03info:eu-repo/date/embargoEnd/2017-10-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5802Massó, Jordi; Neme, Alejandro José; On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria; Elsevier; Journal Of Economic Theory; 154; 03-10-2014; 187-2150022-0531enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022053114001379info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jet.2014.09.016info:eu-repo/semantics/embargoedAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:27Zoai:ri.conicet.gov.ar:11336/5802instacron: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:34982025-09-03 10:09:27.939CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria |
title |
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria |
spellingShingle |
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria Massó, Jordi Assignment game Core Set-wise stability Competitive equilibrium |
title_short |
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria |
title_full |
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria |
title_fullStr |
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria |
title_full_unstemmed |
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria |
title_sort |
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria |
dc.creator.none.fl_str_mv |
Massó, Jordi Neme, Alejandro José |
author |
Massó, Jordi |
author_facet |
Massó, Jordi Neme, Alejandro José |
author_role |
author |
author2 |
Neme, Alejandro José |
author2_role |
author |
dc.subject.none.fl_str_mv |
Assignment game Core Set-wise stability Competitive equilibrium |
topic |
Assignment game Core Set-wise stability Competitive equilibrium |
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 study two cooperative solutions of a market with indivisible goods modeled as a generalized assignment game: Set-wise stability and Core. We establish that the Set-wise stable set is contained in the Core and contains the non-empty set of competitive equilibrium payoffs. We then state and prove three limit results for replicated markets. First, the Set-wise stable set of a two-fold replicated market already coincides with the set of competitive equilibrium payoffs. Second, the sequence of Cores of replicated markets converges to the set of competitive equilibrium payoffs when the number of replicas tends to infinity. Third, for any number of replicas there is a market with a Core payoff that is not a competitive equilibrium payoff. 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 |
description |
We study two cooperative solutions of a market with indivisible goods modeled as a generalized assignment game: Set-wise stability and Core. We establish that the Set-wise stable set is contained in the Core and contains the non-empty set of competitive equilibrium payoffs. We then state and prove three limit results for replicated markets. First, the Set-wise stable set of a two-fold replicated market already coincides with the set of competitive equilibrium payoffs. Second, the sequence of Cores of replicated markets converges to the set of competitive equilibrium payoffs when the number of replicas tends to infinity. Third, for any number of replicas there is a market with a Core payoff that is not a competitive equilibrium payoff. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-10-03 info:eu-repo/date/embargoEnd/2017-10-31 |
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/11336/5802 Massó, Jordi; Neme, Alejandro José; On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria; Elsevier; Journal Of Economic Theory; 154; 03-10-2014; 187-215 0022-0531 |
url |
http://hdl.handle.net/11336/5802 |
identifier_str_mv |
Massó, Jordi; Neme, Alejandro José; On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria; Elsevier; Journal Of Economic Theory; 154; 03-10-2014; 187-215 0022-0531 |
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/S0022053114001379 info:eu-repo/semantics/altIdentifier/doi/ info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jet.2014.09.016 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/embargoedAccess https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
eu_rights_str_mv |
embargoedAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
dc.format.none.fl_str_mv |
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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1842270081732575232 |
score |
13.13397 |