Good friends are hard to find!
Résumé
We focus on the problem of finding (the~size of) a~minimal winning coalition in a multi-player game. More precisely, we~prove that deciding whether there is a winning coalition of size at most~\(k\) is NP-complete, while deciding whether \(k\) is the optimal size is DP-complete. We~also study different variants of our original problem: the function problem, where the aim is to effectively compute the coalition; more succinct encoding of the game; and richer families of winning objectives.
Domaines
Logique en informatique [cs.LO]Origine | Fichiers produits par l'(les) auteur(s) |
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