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On the lattice structure of the set of stable matchings for a many-to-one model
Martínez, Ruth (Universidad Nacional de San Luis (Argentina))
Massó, Jordi (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
Neme, Alejandro (Universidad Nacional de San Luis (Argentina))
Oviedo, Jorge (Universidad Nacional de San Luis (Argentina))

Data: 2001
Resum: For the many-to-one matching model with firms having substitutable and q-separable preferences we propose two very natural binary operations that together with the unanimous partial ordering of the workers endow the set of stable matchings with a lattice structure. We also exhibit examples in which, under this restricted domain of firms' preferences, the classical binary operations may not even be matching.
Ajuts: Ministerio de Educación y Ciencia PB98-0870
Agència de Gestió d'Ajuts Universitaris i de Recerca 1998/SGR-62
Nota: We thank José Alcade, Howard Petith, Alvin Roth, and a referee for their helpful comments. Financial support through a grant from the Programa de Cooperación Científica Iberoamericana is acknowledged. The work of Jordi Massó is also partially supported by Research Grants PB98-0870 from the Dirección General de Investigación Científica y Técnica, Spanish Ministry of Education and Culture, and SGR98-62 from the Comissionat per Universitats i Recerca de la Generalitat de Catalunya. The paper was partially written while Alejandro Neme was visiting the UAB under a sabbatical fellowship from the Spanish Ministry of Education and Culture
Drets: Tots els drets reservats.
Llengua: Anglès
Document: Article ; recerca ; Versió sotmesa a revisió
Matèria: Acoblament, Teoria de l' ; Many-to-one Matchings ; Stability ; Lattice
Publicat a: Optimization, Vol. 50 Núm. 5-6 (January 2001) , p. 439-457, ISSN 1029-4945

DOI: 10.1080/02331930108844574

20 p, 232.8 KB

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