Approximate Tradeoffs on Matroids

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Date
2012
Collection title
Frontiers in Artificial Intelligence and Applications
Collection Id
vol 242
Dewey
Recherche opérationnelle
Sujet
Tradeoff solutions; Matroids
DOI
http://dx.doi.org/10.3233/978-1-61499-098-7-360
Conference name
European Conference on Artificial Intelligence ECAI 2012
Conference date
08-2012
Conference city
Montpellier
Conference country
France
Book title
ECAI 2012 Proceedings
Author
De Raedt, Luc; Bessière, Christian; Dubois, Didier; Doherty, Patrick; Frasconi, Paolo; Heintz, Fredrik; Lucas, Peter
Publisher
IOS Press Books
Year
2012
Pages number
413
ISBN
978-1-61499-097-0
URI
https://basepub.dauphine.fr/handle/123456789/10955
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Author
Gourvès, Laurent
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Monnot, Jérôme
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Tlilane, Lydia
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Type
Communication / Conférence
Item number of pages
360-365
Abstract (EN)
We consider problems where a solution is evaluated with a couple. Each coordinate of this couple represents an agent’s utility. Due to the possible conflicts, it is unlikely that one feasible solution is optimal for both agents. Then, a natural aim is to find tradeoffs. We investigate tradeoff solutions with guarantees for the agents.The focus is on discrete problems having a matroid structure. We provide polynomial-time deterministic algorithms which achieve several guarantees and we prove that some guarantees are not possible to reach.