A characterization of strongly stable fractional matchings

Pablo Neme and Jorge Oviedo

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2020, vol. 28, issue 1, No 7, 97-122

Abstract: Abstract In this paper, we characterize the strongly stable fractional matchings for the marriage model as the union of the convex hull of connected sets of stable matchings. Moreover, we present an algorithm that computes the set of matchings necessary to generate the above-mentioned connected sets. Finally, we show that the set of strongly stable fractional matchings has a lattice structure.

Keywords: Matching markets; Marriage model; Stable fractional matchings; Strongly stable fractional matchings; Linear programming; 90C05; 91B68 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11750-019-00528-y

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