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The lattice of worker-quasi-stable matchings

In a many-to-one matching model, we study the set of worker-quasi-stable matchings when firms' choice functions 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...

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Bibliographic Details
Published in:Games and economic behavior 2022-09, Vol.135, p.188-200
Main Authors: Bonifacio, Agustín G., Guiñazú, Nadia, Juarez, Noelia, Neme, Pablo, Oviedo, Jorge
Format: Article
Language:English
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Summary:In a many-to-one matching model, we study the set of worker-quasi-stable matchings when firms' choice functions 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.
ISSN:0899-8256
1090-2473
DOI:10.1016/j.geb.2022.06.004