Computer Science – Computer Science and Game Theory
Scientific paper
2009-04-14
Theoretical Computer Science, 412, 2011, 7049-7058
Computer Science
Computer Science and Game Theory
16 pages
Scientific paper
10.1016/j.tcs.2011.09.017
In this paper, we address the selfish bin covering problem, which is greatly related both to the bin covering problem, and to the weighted majority game. What we mainly concern is how much the lack of coordination harms the social welfare. Besides the standard PoA and PoS, which are based on Nash equilibrium, we also take into account the strong Nash equilibrium, and several other new equilibria. For each equilibrium, the corresponding PoA and PoS are given, and the problems of computing an arbitrary equilibrium, as well as approximating the best one, are also considered.
Cao Zhigang
Yang Xiaoguang
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