The division problem with maximal capacity constraints

The division problem consists of allocating a given amount of an homogeneous and perfectly divisible good among a group of agents with single-peaked preferences on the set of their potential shares. A rule proposes a vector of shares for each division problem. Most of the literature has implicitly a...

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Autores: Massó, Jordi|||0000-0003-3712-0041, Neme, Alejandro, Bergantiños, Gustavo|||0000-0003-2592-5213
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:143015
Acceso en línea:https://ddd.uab.cat/record/143015
https://dx.doi.org/urn:doi:10.1007/s13209-011-0055-6
Access Level:acceso abierto
Palabra clave:Economia matemàtica
Division problema
Single-peaked preferences
Uniform rule
Capacity constraints
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spelling The division problem with maximal capacity constraintsMassó, Jordi|||0000-0003-3712-0041Neme, AlejandroBergantiños, Gustavo|||0000-0003-2592-5213Economia matemàticaDivision problemaSingle-peaked preferencesUniform ruleCapacity constraintsThe division problem consists of allocating a given amount of an homogeneous and perfectly divisible good among a group of agents with single-peaked preferences on the set of their potential shares. A rule proposes a vector of shares for each division problem. Most of the literature has implicitly assumed that all divisions are feasible. In this paper we consider the division problem when each agent has a maximal capacity due to an objective and verifiable feasibility constraint which imposes an upper bound on his share. Then each agent has a feasible interval of shares where his preferences are single-peaked. A rule has to propose to each agent a feasible share.We focus mainly on strategy-proof, efficient and consistent rules and provide alternative characterizations of the extension of the uniform rule that deals explicitly with agents' maximal capacity constraints 22012-01-0120122012-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/143015https://dx.doi.org/urn:doi:10.1007/s13209-011-0055-6reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 ECO2008-03484-C02-01Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-419Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 ECO2008-04756Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 CDS2006-00016open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/3.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1430152026-06-06T12:50:31Z
dc.title.none.fl_str_mv The division problem with maximal capacity constraints
title The division problem with maximal capacity constraints
spellingShingle The division problem with maximal capacity constraints
Massó, Jordi|||0000-0003-3712-0041
Economia matemàtica
Division problema
Single-peaked preferences
Uniform rule
Capacity constraints
title_short The division problem with maximal capacity constraints
title_full The division problem with maximal capacity constraints
title_fullStr The division problem with maximal capacity constraints
title_full_unstemmed The division problem with maximal capacity constraints
title_sort The division problem with maximal capacity constraints
dc.creator.none.fl_str_mv Massó, Jordi|||0000-0003-3712-0041
Neme, Alejandro
Bergantiños, Gustavo|||0000-0003-2592-5213
author Massó, Jordi|||0000-0003-3712-0041
author_facet Massó, Jordi|||0000-0003-3712-0041
Neme, Alejandro
Bergantiños, Gustavo|||0000-0003-2592-5213
author_role author
author2 Neme, Alejandro
Bergantiños, Gustavo|||0000-0003-2592-5213
author2_role author
author
dc.subject.none.fl_str_mv Economia matemàtica
Division problema
Single-peaked preferences
Uniform rule
Capacity constraints
topic Economia matemàtica
Division problema
Single-peaked preferences
Uniform rule
Capacity constraints
description The division problem consists of allocating a given amount of an homogeneous and perfectly divisible good among a group of agents with single-peaked preferences on the set of their potential shares. A rule proposes a vector of shares for each division problem. Most of the literature has implicitly assumed that all divisions are feasible. In this paper we consider the division problem when each agent has a maximal capacity due to an objective and verifiable feasibility constraint which imposes an upper bound on his share. Then each agent has a feasible interval of shares where his preferences are single-peaked. A rule has to propose to each agent a feasible share.We focus mainly on strategy-proof, efficient and consistent rules and provide alternative characterizations of the extension of the uniform rule that deals explicitly with agents' maximal capacity constraints
publishDate 2012
dc.date.none.fl_str_mv 2
2012-01-01
2012
2012-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/143015
https://dx.doi.org/urn:doi:10.1007/s13209-011-0055-6
url https://ddd.uab.cat/record/143015
https://dx.doi.org/urn:doi:10.1007/s13209-011-0055-6
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 ECO2008-03484-C02-01
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-419
Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 ECO2008-04756
Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 CDS2006-00016
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/3.0/
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
https://creativecommons.org/licenses/by/3.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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