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Approximate Tradeoffs on Matroids

Gourvès, Laurent; Monnot, Jérôme; Tlilane, Lydia (2012), Approximate Tradeoffs on Matroids, in De Raedt, Luc; Bessière, Christian; Dubois, Didier; Doherty, Patrick; Frasconi, Paolo; Heintz, Fredrik; Lucas, Peter, ECAI 2012 Proceedings, IOS Press Books, p. 360-365. 10.3233/978-1-61499-098-7-360

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Type
Communication / Conférence
Date
2012
Conference title
European Conference on Artificial Intelligence ECAI 2012
Conference date
2012-08
Conference city
Montpellier
Conference country
France
Book title
ECAI 2012 Proceedings
Book author
De Raedt, Luc; Bessière, Christian; Dubois, Didier; Doherty, Patrick; Frasconi, Paolo; Heintz, Fredrik; Lucas, Peter
Publisher
IOS Press Books
Series title
Frontiers in Artificial Intelligence and Applications
Series number
vol 242
ISBN
978-1-61499-097-0
Number of pages
413
Pages
360-365
Publication identifier
Metadata
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Author(s)
Gourvès, Laurent
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Monnot, Jérôme cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Tlilane, Lydia
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
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.
Subjects / Keywords
Tradeoff solutions; Matroids