论文标题

在本地和侧面的固定点上,纳什在游戏中存在纳什平衡的应用

On Fixed Points of Locally and Pointwise Contractive Set-Valued Maps with an Application to the Existence of Nash Equilibrium in Games

论文作者

Loch-Temzelides, Ted

论文摘要

我们建立了在公制空间定义的设定值图的固定点的存在,并满足了Banach收缩属性的点式或本地版本。作为应用程序,我们证明了在战略公制的一般战略游戏中存在NASH均衡。

We establish the existence of fixed points for set-valued maps defined on metric spaces and satisfying a pointwise or a local version of Banach's contraction property. As an application, we demonstrate the existence of Nash equilibrium in a general class of strategic games played on metric spaces of strategies.

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