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dc.contributor.author
Manasero, Paola Belén
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dc.date.available
2021-07-15T16:39:01Z
dc.date.issued
2019-05
dc.identifier.citation
Manasero, Paola Belén; Binary Operations for the Lattice Structure in a Many-to-Many Matching Model; Springer; Journal of the Operations Research Society of China; 9; 1; 5-2019; 207-228
dc.identifier.issn
2194-668X
dc.identifier.uri
http://hdl.handle.net/11336/136228
dc.description.abstract
The lattice structure of the set of stable matchings in many-to-many matching model is well known in literature. If preferences of the agents are substitutable, this result can be obtained by fixed-point methods, for that purpose an algorithm for finding a fixed-point matching is defined. Since the fixed-point set equals the set of stable matchings, the latter has a lattice structure too. In this paper, we consider a many-to-many matching market where the preferences of firms satisfy substitutability and the law of aggregate demand, and workers have responsive preferences. In this many-to-many matching market, we explicitly compute for any pair of stable matchings the least upper bound and the greatest lower bound, without using fixed-point methods.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BINARY OPERATIONS
dc.subject
LATTICE STRUCTURE
dc.subject
MANY-TO-MANY MATCHING MODEL
dc.subject.classification
Matemática Aplicada
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Binary Operations for the Lattice Structure in a Many-to-Many 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
2020-11-18T20:47:06Z
dc.identifier.eissn
2194-6698
dc.journal.volume
9
dc.journal.number
1
dc.journal.pagination
207-228
dc.journal.pais
China
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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 the Operations Research Society of China
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s40305-019-00246-z
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs40305-019-00246-z
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