In this paper we propose a basic fixed-point theorem for correspondences inspired by Tarski’s intersection point theorem. This result furnishes an efficient tool to prove the existence of pure strategy Nash equilibria for two player games with possibly discontinuous payoffs functions defined on compact real intervals.

中文翻译：

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Tarski型不动点定理的一个注记

在本文中，我们提出了一个基本的不动点定理，用于受塔斯基交点定理启发的通信。该结果提供了一种有效的工具，可以证明对于两个具有紧凑实实区间上可​​能不连续的收益函数的玩家游戏，存在纯策略纳什均衡。