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dc.contributor.author
Martínez, Ruth
dc.contributor.author
Massó, Jordi
dc.contributor.author
Neme, Alejandro José
dc.contributor.author
Oviedo, Jorge Armando
dc.date.available
2017-04-18T19:58:25Z
dc.date.issued
2010-09
dc.identifier.citation
Martínez, Ruth; Massó, Jordi; Neme, Alejandro José; Oviedo, Jorge Armando; The Blocking Lemma for a many-to-one matching model; Elsevier Science; Journal Of Mathematical Economics; 46; 5; 9-2010; 937-949
dc.identifier.issn
0304-4068
dc.identifier.uri
http://hdl.handle.net/11336/15396
dc.description.abstract
The Blocking Lemma identifies a particular blocking pair for each non-stable and individually rational matching that is preferred by some agents of one side of the market to their optimal stable matching. Its interest lies in the fact that it has been an instrumental result to prove key results on matching. For instance, the fact that in the college admissions problem the workers-optimal stable mechanism is group strategy-proof for the workers and the strong stability theorem in the marriage model follow directly from the Blocking Lemma. However, it is known that the Blocking Lemma and its consequences do not hold in the general many-to-one matching model in which firms have substitutable preference relations. We show that the Blocking Lemma holds for the many-to-one matching model in which firms’ preference relations are, in addition to substitutable, quota q-separable. We also show that the Blocking Lemma holds on a subset of substitutable preference profiles if and only if the workers-optimal stable mechanism is group strategy-proof for the workers on this subset of profiles.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Matching
dc.subject
Stability
dc.subject
Blocking Lemma
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
The Blocking Lemma for a many-to-one matching model
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-04-18T14:26:53Z
dc.journal.volume
46
dc.journal.number
5
dc.journal.pagination
937-949
dc.journal.pais
Países Bajos
dc.journal.ciudad
Ámsterdam
dc.description.fil
Fil: Martínez, Ruth. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina. Universidad Nacional de San Luis; Argentina
dc.description.fil
Fil: Massó, Jordi. Universitat Autonoma de Barcelona; España
dc.description.fil
Fil: Neme, Alejandro José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina. Universidad Nacional de San Luis; Argentina
dc.description.fil
Fil: Oviedo, Jorge Armando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Matemática Aplicada de San Luis; Argentina. Universidad Nacional de San Luis; Argentina
dc.journal.title
Journal Of Mathematical Economics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0304406810000856
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmateco.2010.08.010


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