Order-clustered fixed point theorems on chain-complete preordered sets and their applications to extended and generalized Nash equilibria

In this paper, we introduce the concept of order-clustered fixed point of set-valued mappings on preordered sets and give several generalizations of the extension of the Abian-Brown fixed point theorem provided in (Mas-Colell et al. in Microeconomic Theor

在本文中，我们引入了预序集上集值映射的序聚类不动点的概念，并对（马斯 - 科莱尔等人在《微观经济理论》中所给出的）阿比安 - 布朗不动点定理的推广给出了几种一般化形式。