On the many-to-one strongly stable fractional matching set
Theoretical Economics
2020-05-25 v2
Abstract
For a many-to-one matching market where firms have strict and -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.
Keywords
Cite
@article{arxiv.1905.12500,
title = {On the many-to-one strongly stable fractional matching set},
author = {Pablo A. Neme and Jorge Oviedo},
journal= {arXiv preprint arXiv:1905.12500},
year = {2020}
}