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The lattice of worker-quasi-stable matchings

Agustín Bonifacio (), Nadia Guiñazu, Noelia Juarez (), Pablo Neme () and Jorge Oviedo ()

No 64, Working Papers from Red Nacional de Investigadores en Economía (RedNIE)

Abstract: In a many-to-one matching model, we study the set of worker-quasi-stable matchings when firms' preferences satisfy substitutability. Worker-quasi-stability is a relaxation of stability that allows blocking pairs involving a firm and an unemployed worker. We show that this set has a lattice structure and define a Tarski operator on this lattice that models a re-equilibration process and has the set of stable matchings as its fixed points.

Keywords: Matching; worker-quasi-stability; lattice; Tarski; operator; re-stabilization; process (search for similar items in EconPapers)
JEL-codes: C78 D47 (search for similar items in EconPapers)
Pages: 20 pages
Date: 2021-04
New Economics Papers: this item is included in nep-des and nep-ore
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