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Kemeny Elections with Bounded Single-peaked or Single-crossing Width

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6944-30519-1-PB.pdf (551.1Kb)
Date
2013
Notes
Twenty-Third International Joint Conference on Artificial IntelligenceBeijing ChinaAugust 3, 2013 – August 9, 2013
Dewey
Recherche opérationnelle
Sujet
Computational Social Choice; Kemeny; Single-peaked; Single-crossing; Fixed-parameter Tractability
Book title
Proceedings of the 23rd International Joint Conference on Artificial Intelligence (IJCAI 2013)
Publisher
AAAI Press / IJCAI
Year
2013
ISBN
978-1-57735-633-2
URI
https://basepub.dauphine.fr/handle/123456789/15843
Collections
  • LAMSADE : Publications
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Author
Cornaz, Denis
Galand, Lucie
Spanjaard, Olivier
Type
Communication / Conférence
Item number of pages
76-82
Abstract (EN)
This paper is devoted to complexity results regarding specific measures of proximity to single-peakedness and single-crossingness, called "single-peaked width" [Cornaz et al., 2012] and "single-crossing width". Thanks to the use of the PQ-tree data structure [Booth and Lueker, 1976], we show that both problems are polynomial time solvable in the general case (while it was only known for single-peaked width and in the case of narcissistic preferences). Furthermore, we establish one of the first results (to our knowledge) concerning the effect of nearly single-peaked electorates on the complexity of an NP-hard voting system, namely we show the fixed-parameter tractability of Kemeny elections with respect to the parameters "single-peaked width" and "single-crossing width".

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