Quasi-stability notions in two-sided matching models

Nadia Guiñazú; Noelia Juarez; Pablo Neme; Jorge Oviedo

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arXiv · 2411.12533

Quasi-stability notions in two-sided matching models

Nadia Guiñazú·Noelia Juarez·Pablo Neme·Jorge Oviedo

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Abstract

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

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Nadia Guiñazú, Noelia Juarez, Pablo Neme, Jorge Oviedo. 2024-11-19. Quasi-stability notions in two-sided matching models. https://arxiv.org/abs/2411.12533

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