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A new solution for the roommate problem

Biró, Péter and Inarra, E. and Molis, E. (2014) A new solution for the roommate problem. Műhelytanulmányok = Discussion Papers (MT-DP ). Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences, Budapest. ISBN 978-615-5447-39-6

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Abstract

The aim of this paper is to propose a new solution for the roommate problem with strict references. We introduce the solution of maximum ir reversibility and consider almost stable matchings (Abraham et al. [2]) and maximum stable m atchings (Tan [30] [32]). We find that almost stable matchings are incompatible with the o ther two solutions. Hence, to solve the roommate problem we propose matchings that lie at t he intersection of the maximum irreversible matchings and maximum stable matchings , which are called Q-stable matchings. These matchings are core consistent and we offer an efficient algorithm for computing one of them. The outcome of the algorithm belongs to an ab sorbing set.

Item Type: Book
Subjects: H Social Sciences / társadalomtudományok > HM Sociology / társadalomkutatás
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 14 Oct 2014 13:17
Last Modified: 14 Oct 2014 13:17
URI: http://real.mtak.hu/id/eprint/17706

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