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Possible and Necessary Winners of Partial Tournaments

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Date
2015
Dewey
Recherche opérationnelle
Sujet
computational social choice
Journal issue
The Journal of Artificial Intelligence Research
Volume
54
Publication date
12-2015
Article pages
493-534
Publisher
Morgan Kaufmann Publishers
DOI
http://dx.doi.org/10.1613/jair.4856
URI
https://basepub.dauphine.fr/handle/123456789/16161
Collections
  • LAMSADE : Publications
Metadata
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Author
Aziz, Haris
134757 University of South Wales
Brill, Markus
status unknown
Fischer, Felix
Harrenstein, Paul
98120 Oxford University
Lang, Jérôme
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Seedig, Hans Georg
109286 Department of Informatics of the Technische Universität München
Type
Article accepté pour publication ou publié
Abstract (EN)
We study the problem of computing possible and necessary winners for partially specified weighted and unweighted tournaments. This problem arises naturally in elections with incompletely specified votes, partially completed sports competitions, and more generally in any scenario where the outcome of some pairwise comparisons is not yet fully known. We specifically consider a number of well-known solution concepts---including the uncovered set, Borda, ranked pairs, and maximin---and show that for most of them, possible and necessary winners can be identified in polynomial time. These positive algorithmic results stand in sharp contrast to earlier results concerning possible and necessary winners given partially specified preference profiles.

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