A characterization of strongly stable fractional matchings

PA Neme, J Oviedo - Top, 2020 - Springer
PA Neme, J Oviedo
Top, 2020Springer
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.
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.
Springer
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