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dc.contributor.author
Manasero, Paola Belén
dc.date.available
2019-12-30T16:52:25Z
dc.date.issued
2018-02
dc.identifier.citation
Manasero, Paola Belén; Equivalences between two matching models: Stability; American Institute of Mathematical Sciences; Journal of Dynamics & Games; 4; 5; 2-2018; 1-19
dc.identifier.issn
2164-6074
dc.identifier.uri
http://hdl.handle.net/11336/93267
dc.description.abstract
We study the equivalences between two matching models, wherethe agents in one side of the market, the workers, have responsive preferenceson the set of agents of the other side, the firms. We modify the firms? preferenceson subsets of workers and define a function between the set of manyto-manymatchings and the set of related many-to-one matchings. We provethat this function restricted to the set of stable matchings is bijective and thatpreserves the stability of the corresponding matchings in both models. Usingthis function, we prove that for the many-to-many problem with substitutablepreferences for the firms and responsive preferences for the workers, the set ofstable matchings is non-empty and has a lattice structure.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Mathematical Sciences
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
MATCHING
dc.subject
STABILITY
dc.subject
RESPONSIVE
dc.subject
SUBSTITUTABILITY
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Equivalences between two matching models: Stability
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-24T18:20:08Z
dc.journal.volume
4
dc.journal.number
5
dc.journal.pagination
1-19
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Manasero, Paola Belén. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentina
dc.journal.title
Journal of Dynamics & Games
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3934/jdg.2018013
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/article/doi/10.3934/jdg.2018013
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