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Open AccessArticle

Choice Function-Based Two-Sided Markets: Stability, Lattice Property, Path Independence and Algorithms

1
Department of Computer Science and Information Theory, Budapest University of Technology and Economics, Magyar tudósok körútja 2., Budapest 1117, Hungary
2
MTA-ELTE Egerváry Reseach Group, Pázmány Péter sétány 1/C, Budapest 1117, Hungary
3
Department of Operations Research, Eötvös Loránd University, Pázmány Péter sétány 1/C, Budapest 1117, Hungary
*
Author to whom correspondence should be addressed.
Algorithms 2014, 7(1), 32-59; https://doi.org/10.3390/a7010032
Received: 23 June 2013 / Revised: 29 December 2013 / Accepted: 18 January 2014 / Published: 14 February 2014
(This article belongs to the Special Issue Special Issue on Matching under Preferences)
We build an abstract model, closely related to the stable marriage problem and motivated by Hungarian college admissions. We study different stability notions and show that an extension of the lattice property of stable marriages holds in these more general settings, even if the choice function on one side is not path independent. We lean on Tarski’s fixed point theorem and the substitutability property of choice functions. The main virtue of the work is that it exhibits practical, interesting examples, where non-path independent choice functions play a role, and proves various stability-related results. View Full-Text
Keywords: stable matchings; college admission; choice function; lattice stable matchings; college admission; choice function; lattice
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Fleiner, T.; Jankó, Z. Choice Function-Based Two-Sided Markets: Stability, Lattice Property, Path Independence and Algorithms. Algorithms 2014, 7, 32-59.

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