Research PaperNo Access

Generalization of Zhou Fixed Point Theorem

Universit Paris 1 Panthon-Sorbonne, UMR 8074, Centre d’Economie de la Sorbonne, Paris, France

https://doi.org/10.1142/S0219198924500142Cited by:0 (Source: Crossref)

Abstract

We give two generalizations of the Zhou fixed point theorem. They weaken the subcompleteness condition of values, and relax the ascending condition of the correspondence. As an application, we derive a generalization of Topkis’ theorem on the existence and order structure of the set of Nash equilibria of supermodular games.

Keywords:

JEL: C02, C62, C72

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