DISCRETE FIXED POINT THEOREMS AND THEIR APPLICATION TO NASH EQUILIBRIUM
DISCRETE FIXED POINT THEOREMS AND THEIR APPLICATION TO NASH EQUILIBRIUM
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DOI：
10.11650/tjm.13.2009.505
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发表时间：
2009-01
影响因子：
0.4
通讯作者：
Jun-ichi Sato;H. Kawasaki
中科院分区：
文献类型：
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作者：
Jun-ichi Sato;H. Kawasaki
本文给出了离散不动点定理。它们基于映射的单调性。将它们应用于非合作n人对策，给出了纯策略纳什均衡的存在性定理。作为一个特例，我们考虑双矩阵博弈。
In this paper, we present discrete fixed point theorems. They are based on monotonicity of the mapping. We apply them to a non-cooperative n-person game and give an existence theorem of a Nash equilibrium of pure strategies. As a special case, we consider bimatrix games.