A Fixed Point Theorem for Discontinuous Functions

Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.

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Year of publication:	2004
Authors:	Herings, Jean-Jacques ; van der Laan, Gerard ; Talman, Dolf ; Yang, Zaifu
Publisher:	Amsterdam and Rotterdam : Tinbergen Institute
Subject:	Mathematische Ökonomie \| Theorie \| Gleichgewicht \| Fixed point \| simplicial subdivision \| discontinuity \| equilibrium

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Series:	Tinbergen Institute Discussion Paper ; 05-004/1
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	836121228 [GVK] hdl:10419/86189 [Handle] RePEc:dgr:uvatin:20050004 [RePEc]
Classification:	C62 - Existence and Stability Conditions of Equilibrium ; C63 - Computational Techniques
Source:	EconStor

Persistent link: https://www.econbiz.de/10010325152