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On the set of many-to-one strongly stable fractional matchings

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  • Neme, Pablo
  • Oviedo, Jorge

Abstract

For a many-to-one matching market where firms have strict and q-responsive preferences, we give a characterization of the set of strongly stable fractional matchings as the union of the convex hull of all connected sets of stable matchings. We also prove that a strongly stable fractional matching is represented by a lottery of stable matchings that are ordered in the common preferences of all firms.

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  • Neme, Pablo & Oviedo, Jorge, 2021. "On the set of many-to-one strongly stable fractional matchings," Mathematical Social Sciences, Elsevier, vol. 110(C), pages 1-13.
    • Handle: RePEc:eee:matsoc:v:110:y:2021:i:c:p:1-13
    DOI: 10.1016/j.mathsocsci.2020.12.002
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