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Core and stability notions in many-to-one matching markets with indifferences

Agustín Bonifacio (), Noelia Juarez (), Pablo Neme () and Jorge Oviedo ()

Papers from arXiv.org

Abstract: In a many-to-one matchingmodel with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.

Date: 2022-03
New Economics Papers: this item is included in nep-des
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http://arxiv.org/pdf/2203.16293 Latest version (application/pdf)

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Working Paper: Core and Stability Notions in Many-to-one Matching Markets with Indifferences (2022) Downloads
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