Evolution paths on the equilibrium manifold

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Evolution paths on the equilibrium manifold

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Andrea, Loi
Stefano, Matta

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Stefano Matta

Abstract

In a pure exchange smooth economy with fixed total resources, we de- fine the length between two regular equilibria belonging to the equilibrium manifold as the number of intersection points of the evolution path connecting them with the set of critical equilibria. We show that there exists a minimal path according to this definition of length.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 4694.

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Date of creation: Nov 2006
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Handle: RePEc:pra:mprapa:4694

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Find related papers by JEL classification:
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

This paper has been announced in the following NEP Reports:

NEP-ALL-2007-09-09 (All new papers)

References listed on IDEAS
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Balasko, Yves, 1992. "The set of regular equilibria," Journal of Economic Theory, Elsevier, vol. 58(1), pages 1-8, October. [Downloadable!] (restricted)
Andrea Loi & Stefano Matta, 2006. "A Riemannian metric on the equilibrium manifold: the smooth case," Economics Bulletin, Economics Bulletin, vol. 4(30), pages 1-9. [Downloadable!]
Balasko, Yves, 1975. "The Graph of the Walras Correspondence," Econometrica, Econometric Society, vol. 43(5-6), pages 907-12, Sept.-Nov. [Downloadable!] (restricted)
Balasko, Yves, 1979. "A geometric approach to equilibrium analysis," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 217-228, December. [Downloadable!] (restricted)
Stefano Matta, 2005. "A riemannian metric on the equilibrium manifold," Economics Bulletin, Economics Bulletin, vol. 4(7), pages 1-7. [Downloadable!]
Balasko, Yves, 1978. "Economic Equilibrium and Catastrophe Theory: An Introduction," Econometrica, Econometric Society, vol. 46(3), pages 557-69, May. [Downloadable!] (restricted)

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