Automation and Remote Control

, Volume 75, Issue 6, pp 1069–1077 | Cite as

Generalized matchings for preferences represented by simplest semiorder: Stability and pareto optimality

Intellectual Control Systems

Abstract

We consider an extension of the classical model of generalized Gale-Shapley matchings. The model describes a two-sided market: on one side, universities each of which has a restriction on the number of enrolled students; on the other side, applicants each of which can get a single place in the university. Both applicants and universities have preferences with respect to the desired distribution. We assume that each applicant constructs a linear order on the set of desired universities, and each university has preferences that are simplest semiorders For this modification, we show that a stable matching always exists. Moreover, we formulate necessary and sufficient conditions for Pareto optimality of the stable matching.

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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.National Research University Higher School of EconomicsMoscowRussia

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