Large Supports are required for Well-Supported Nash Equilibria
Large Supports are required for Well-Supported Nash Equilibria
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良好支持的纳什均衡需要大量支持
DOI：
10.4230/lipics.approx-random.2015.78
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Hehui Wu
中科院分区：
文献类型：
--
作者：
Yogesh Anbalagan;Hao;Shachar Lovett;S. Norin;A. Vetta;Hehui Wu
我们证明了，对于任何常数$k$和任何$\n <1$，存在双矩阵的输赢游戏，每个$\n $-WSNE需要支持的基数大于$k$。要做到这一点，我们提供了一个图形理论表征的输赢游戏，拥有$\N $-无线传感器网络与恒定的基数支持。然后，我们应用Haight的加法数论中的一个结果来构造不满足刻画要求的输赢博弈。这些结构反驳了Daskalakis，Mehta和Papadimitriou和Myers的图论结构。
We prove that for any constant $k$ and any $\epsilon<1$, there exist bimatrix win-lose games for which every $\epsilon$-WSNE requires supports of cardinality greater than $k$. To do this, we provide a graph-theoretic characterization of win-lose games that possess $\epsilon$-WSNE with constant cardinality supports. We then apply a result in additive number theory of Haight to construct win-lose games that do not satisfy the requirements of the characterization. These constructions disprove graph theoretic conjectures of Daskalakis, Mehta and Papadimitriou, and Myers.
有充分支持的纳什均衡近似低于三分之二
影响因子：
1.1
作者：
Fearnley J
通讯作者：
Fearnley J