Approximate Tradeoffs on Matroids

Laurent Gourvès (1) , Jérôme Monnot (1) , Lydia Tlilane (1)

1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision

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.

Mots clés: Tradeoff solutions; Matroids

Domaines: Informatique [cs]

Laurent Gourvès, Jérôme Monnot, Lydia Tlilane. Approximate Tradeoffs on Matroids. 20th European Conference on Artificial Intelligence (ECAI 2012), Aug 2012, Montpellier, France. pp.360-365, ⟨10.3233/978-1-61499-098-7-360⟩. ⟨hal-01508731⟩