The lattice of worker-quasi-stable matchings.

BONIFACIO, AGUSTÍN; JORGE OVIEDO; GUIÑAZU, NADIA; JUAREZ NOELIA; NEME, PABLO

Buenos Aires

Congreso; LVI Reuni´on Anual de la Asociaci´on Argentina de Econom´ıa Pol´ıtica; 2021

UBA

In a many-to-one matching model, we study the set of worker-quasi-stablematchings when firms? choice functions satisfy substitutability. Worker-quasi-stabilityis a relaxation of stability that allows blocking pairs involving a firm and an unemployedworker. We show that this set has a lattice structure and define a Tarskioperator on this lattice that models a re-equilibration process and has the set ofstable matchings as its fixed points.