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

Author

Listed:
  • Pablo Neme

    (Universidad Nacional de San Luis/CONICET)

  • Jorge Oviedo

    (Universidad Nacional de San Luis/CONICET)

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 match- ings 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 as a convex combination of stable matchings that are ordered in the common preferences of all firms.

Suggested Citation

  • Pablo Neme & Jorge Oviedo, 2020. "On the set of many-to-one strongly stable fractional matchings," Working Papers 19, Red Nacional de Investigadores en Economía (RedNIE).
  • Handle: RePEc:aoz:wpaper:19
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