Quasi-stability notions in two-sided matching models

Abstract

This paper presents weakened notions of corewise stability and setwise stabilityfor matching markets where agents have path-independent choice functions.We introduce the concepts of worker-quasi-core, firm-quasi-core, and firm-quasisetwisestability. We also examine their relationship to established notions in theliterature, such as worker-quasi and firm-quasi stability in both many-to-one andmany-to-many markets.