A Pareto optimal matching is a matching that is not dominated by any other matching. Thanks to Proposition 1 and the finiteness of the set of all matchings, a ...
In this paper, we examine Pareto optimal matchings (briefly POM) in the context of such markets, that can also incorpo- rate additional constraints, e.g., each ...
We provide necessary and sufficient conditions for a many-to-many matching to be Pareto optimal and show that checking whether a given matching is Pareto ...
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Thus, by Theorem 1, in order to show that Pareto-stable matchings exist it is sufficient to find just one Pareto-simple matching that is Pareto-optimal. It ...
We consider Pareto optimal matchings (POMs) in a many-to-many market of applicants and courses where applicants have preferences, which may include ties, ...
Sep 2, 2022 · This paper discusses the Pareto-stable mechanism and its algorithm for many to many matching problem with quota.
Our algorithm is an alternative proof of the existence of a stable and Pareto efficient matching in a many-to-many matching market with indifferences. Keywords: ...
Apr 30, 2016 · Pareto optimality is a fundamental concept that economists regard as a minimal requirement for a “reasonable” outcome of a mechanism. A matching ...
Apr 30, 2016 · Abstract We consider Pareto optimal matchings (POMs) in a many-to-many market of applicants and courses where applicants have preferences, ...
In this paper we consider both the two-sided many-to-many stable matching problem and the one-sided stable fixtures problem under lexicographic preferences. We ...