License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.APPROX-RANDOM.2016.36
URN: urn:nbn:de:0030-drops-66597
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6659/
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Kanade, Varun ; Leonardos, Nikos ; Magniez, Frédéric

Stable Matching with Evolving Preferences

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Abstract

We consider the problem of stable matching with dynamic preference lists. At each time-step, the preference list of some player may change by swapping random adjacent members. The goal of a central agency (algorithm) is to maintain an approximately stable matching, in terms of number of blocking pairs, at all time-steps. The changes in the preference lists are not reported to the algorithm, but must instead be probed explicitly. We design an algorithm that in expectation and with high probability maintains a matching that has at most O((log n)^2 blocking pairs.

BibTeX - Entry

@InProceedings{kanade_et_al:LIPIcs:2016:6659,
  author =	{Varun Kanade and Nikos Leonardos and Fr{\'e}d{\'e}ric Magniez},
  title =	{{Stable Matching with Evolving Preferences}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016)},
  pages =	{36:1--36:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-018-7},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{60},
  editor =	{Klaus Jansen and Claire Mathieu and Jos{\'e} D. P. Rolim and Chris Umans},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6659},
  URN =		{urn:nbn:de:0030-drops-66597},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2016.36},
  annote =	{Keywords: Stable Matching, Dynamic Data}
}

Keywords: Stable Matching, Dynamic Data
Collection: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016)
Issue Date: 2016
Date of publication: 06.09.2016

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