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Voting on multi-issue domains with conditionally lexicographic preferences

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Date
2018
Dewey
Intelligence artificielle
Sujet
Computational social choice; Voting; Winner determination; Lexicographic preferences; Maximum satisfiability
Journal issue
Artificial Intelligence
Volume
265
Publication date
12-2018
Article pages
18-44
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.artint.2018.05.004
URI
https://basepub.dauphine.fr/handle/123456789/19152
Collections
  • LAMSADE : Publications
Metadata
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Author
Lang, Jérôme
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Mengin, Jérôme
status unknown
Xia, Lirong
561317 Rensslaer Polytechnic Institute, USA
Type
Article accepté pour publication ou publié
Abstract (EN)
One approach to voting on several interrelated issues consists in using a language for compact preference representation, from which the voters' preferences are elicited and aggregated. Such a language can usually be seen as a domain restriction. We consider a well-known restriction, namely, conditionally lexicographic preferences, where both the relative importance between issues and the preference between the values of an issue may depend on the values taken by more important issues. The naturally associated language consists in describing conditional importance and conditional preference by trees together with conditional preference tables. In this paper, we study the aggregation of conditionally lexicographic preferences for several common voting rules and several classes of lexicographic preferences. We address the computation of the winning alternative for some important rules, both by identifying the computational complexity of the relevant problems and by showing that for several of them, computing the winner reduces in a very natural way to a maxsat problem.

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