arXiv subjects

Pablo A. Neme

Publications and source records attributed to Pablo A. Neme.

2 recordsLinked to original sources

arXiv2020

Lattice structure of the random stable set in many-to-many matching market

For a many-to-many matching market, we study the lattice structure of the set of random stable matchings. We define a partial order on the random stable set and present two intuitive binary operations to compute the least upper bound and the greatest lower bound for each side of the matching market. Then, we prove that with these binary operations the set of random stable matchings forms two dual lattices.

econ.TH↗

arXiv2020

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

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.

econ.TH↗