Stable marriage with multi-modal preferences

Jiehua Chen, Rolf Niedermeier, Piotr Skowron

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

26 Scopus citations

Abstract

We thoroughly study a generalized version of the famous Stable Marriage problem, now based on multi-modal preference lists. The central twist herein is to allow each agent to rank its potentially matching counterparts based on more than one “evaluation mode” (e.g., more than one criterion); thus, each agent is equipped with multiple preference lists, each ranking the counterparts in a possibly different way. We introduce and study three natural concepts of stability, investigate their mutual relations and focus on computational complexity aspects with respect to computing stable matchings in these new scenarios. Mostly encountering computational hardness (NP-hardness), we can also spot few islands of tractability and make a surprising connection to the Graph Isomorphism problem.

Original languageEnglish
Title of host publicationACM EC 2018 - Proceedings of the 2018 ACM Conference on Economics and Computation
PublisherAssociation for Computing Machinery, Inc
Pages269-286
Number of pages18
ISBN (Electronic)9781450358293
DOIs
StatePublished - 11 Jun 2018
Event19th ACM Conference on Economics and Computation, EC 2018 - Ithaca, United States
Duration: 18 Jun 201822 Jun 2018

Publication series

NameACM EC 2018 - Proceedings of the 2018 ACM Conference on Economics and Computation

Conference

Conference19th ACM Conference on Economics and Computation, EC 2018
Country/TerritoryUnited States
CityIthaca
Period18/06/1822/06/18

Keywords

  • Concepts of stability
  • Exact algorithms
  • Multi-layer (graph) models
  • NP-hardness
  • Parameterized complexity analysis
  • Stable matching

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Statistics and Probability
  • Computational Mathematics
  • Economics and Econometrics

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