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Saturating stable matchings

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  • Muhammad Maaz

Abstract

I relate bipartite graph matchings to stable matchings. I prove a necessary and sufficient condition for the existence of a saturating stable matching, where every agent on one side is matched, for all possible preferences. I extend my analysis to perfect stable matchings, where every agent on both sides is matched.

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  • Muhammad Maaz, 2020. "Saturating stable matchings," Papers 2011.06046, arXiv.org, revised Mar 2021.
    • Handle: RePEc:arx:papers:2011.06046
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    1. Parag A. Pathak & Tayfun Sönmez & M. Utku Ünver & M. Bumin Yenmez, 2024. "Fair Allocation of Vaccines, Ventilators and Antiviral Treatments: Leaving No Ethical Value Behind in Healthcare Rationing," Management Science, INFORMS, vol. 70(6), pages 3999-4036, June.
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