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A riemannian metric on the equilibrium manifold

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Author Info
Stefano Matta () (University of Cagliari - Italy)

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Abstract

Under the assumption that the utility function is real analytic, we construct a complete metric on the equilibrium manifold with fixed total resources such that a minimal geodesic joining any two regular equilibria intersects the set of critical equilibria in a finite number of points.

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File URL: http://www.economicsbulletin.com/2005/volume4/EB-04D50005A.pdf
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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 4 (2005)
Issue (Month): 7 ()
Pages: 1-7
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Handle: RePEc:ebl:ecbull:v:4:y:2005:i:7:p:1-7

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Related research
Keywords: critical equilibria; equilibrium manifold; geodesics; real analytic utility functions.; riemannian metric;

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Find related papers by JEL classification:
D5 - Microeconomics - - General Equilibrium and Disequilibrium
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Balasko, Yves, 1992. "The set of regular equilibria," Journal of Economic Theory, Elsevier, vol. 58(1), pages 1-8, October. [Downloadable!] (restricted)
  2. Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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!]
  2. Andrea, Loi & Stefano, Matta, 2006. "Evolution paths on the equilibrium manifold," MPRA Paper 4694, University Library of Munich, Germany. [Downloadable!]
Statistics
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This page was last updated on 2009-11-16.

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