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arXiv · 2103.16330

The lattice of worker-quasi-stable matchings

Agustin G. Bonifacio·Nadia Guinazu·Noelia Juarez·Pablo Neme·Jorge Oviedo
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Abstract

In a many-to-one matching model in which firms' preferences satisfy substitutability, we study the set of worker-quasi-stable matchings. 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.

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Agustin G. Bonifacio, Nadia Guinazu, Noelia Juarez, Pablo Neme, Jorge Oviedo. 2021-03-30. The lattice of worker-quasi-stable matchings. https://arxiv.org/abs/2103.16330

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