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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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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Atribución-NoComercial-SinDerivadas 2.5 Argentina (CC BY-NC-ND 2.5 AR)