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:	2004-01-11
Authors:	Herings, Jean-Jacques ; Laan, Gerard van der ; Talman, Dolf ; Yang, Zaifu
Institutions:	Tinbergen Institute
Subject:	Fixed point \| simplicial subdivision \| discontinuity \| equilibrium

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Extent:	application/pdf
Series:	Tinbergen Institute Discussion Papers.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series Tinbergen Institute Discussion Papers Number 05-004/1
Classification:	C62 - Existence and Stability Conditions of Equilibrium ; C63 - Computational Techniques
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005137207