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On the many-to-one strongly stable fractional matching set

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  • Pablo A. Neme
  • Jorge Oviedo

Abstract

For a many-to-one matching market where firms have strict and $\boldsymbol{q}$-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. Also, we prove that a strongly stable fractional matching is represented as a convex combination of stable matchings that are ordered in the common preferences of all firms.

Suggested Citation

  • Pablo A. Neme & Jorge Oviedo, 2019. "On the many-to-one strongly stable fractional matching set," Papers 1905.12500, arXiv.org, revised May 2020.
    • Handle: RePEc:arx:papers:1905.12500
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    File URL: http://arxiv.org/pdf/1905.12500
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