Some Equivalents of Brouwer's Fixed Point Theorem and the Existence of Economic Equilibrium

The primary goal of the paper is to deliver a simple proof of equivalence between Brouwer’s fixed point theorem and the existence of equilibrium in a simple exchange model with monotonic consumers. To achieve this end, we discuss some equivalent formulations of Brouwer’s theorem and prove additional ones, that are ’approximating’ in character or seem to be better suited for economic applications than the standard results.

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Year of publication:	2011
Authors:	Maćkowiak, Piotr
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	existence of equilibrium \| Brouwer’s fixed point \| simple exchange model

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	D51 - Exchange and Production Economies ; C62 - Existence and Stability Conditions of Equilibrium
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011258642