Logo
Munich Personal RePEc Archive

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

Maćkowiak, Piotr (2011): Some Equivalents of Brouwer's Fixed Point Theorem and the Existence of Economic Equilibrium. Published in: Quantitative Methods in Economics 2012, (M. Matłoka, ed.), Poznań University of Economics Press, ISBN: 978-83-7417-703-0 (2012): pp. 164-171.

[thumbnail of MPRA_paper_42461.pdf]
Preview
PDF
MPRA_paper_42461.pdf

Download (328kB) | Preview

Abstract

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.

Atom RSS 1.0 RSS 2.0

Contact us: mpra@ub.uni-muenchen.de

This repository has been built using EPrints software.

MPRA is a RePEc service hosted by Logo of the University Library LMU Munich.