Good friends are hard to find!

被引:1
|
作者
Brihaye, Thomas [1 ]
Ghannem, Mohamed [2 ]
Markey, Nicolas [3 ,4 ]
Rieg, Lionel [5 ]
机构
[1] Univ Mons, Inst Math, B-7000 Mons, Belgium
[2] Univ La Manouba, ENSI, Manouba, Tunisia
[3] ENS Cachan, LSV, F-75700 Paris, France
[4] CNRS, F-75700 Paris, France
[5] ENS Lyon, Dept Informat, Paris, France
关键词
D O I
10.1109/TIME.2008.10
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We focus on the problem of finding (the size of) a minimal winning coalition in a multi-player game. 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.
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页码:32 / +
页数:3
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