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The Equilibrium ManifoldPostmodern Developments in the Theory of General Economic Equilibrium$
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Yves Balasko

Print publication date: 2009

Print ISBN-13: 9780262026543

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262026543.001.0001

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The Global Structure of the Equilibrium Manifold

The Global Structure of the Equilibrium Manifold

Chapter:
(p.55) 4 The Global Structure of the Equilibrium Manifold
Source:
The Equilibrium Manifold
Author(s):

Yves Balasko

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262026543.003.0130

This chapter is divided into three parts. The first part gives some intuition for the mathematical concepts of pathconnectedness, simple connectedness, and contractibility. The second part is devoted to proving these global properties of the equilibrium manifold. The third part discusses the application of these coordinate systems to the study of the natural projection and to the study of subsets of the equilibrium manifold that are associated with properties of equilibria such as tatonnement stability or gross substitutability.

Keywords:   pathconnectedness, simple connectedness, contractibility, equilibrium manifold, natural projection, tatonnement stability, gross substitutability

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