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Evolution paths on the equilibrium manifold

  • Andrea, Loi
  • Stefano, Matta

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
Date of revision:
Handle: RePEc:pra:mprapa:4694
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  1. Loi, Andrea & Matta, Stefano, 2009. "A note on the structural stability of the equilibrium manifold," MPRA Paper 15507, University Library of Munich, Germany.
  2. Stefano Matta & Andrea Loi, 2006. "A Riemannian metric on the equilibrium manifold: the smooth case," Economics Bulletin, AccessEcon, vol. 4(30), pages 1-9.
  3. repec:ebl:ecbull:v:4:y:2006:i:30:p:1-9 is not listed on IDEAS
  4. Stefano Matta, 2005. "A riemannian metric on the equilibrium manifold," Economics Bulletin, AccessEcon, vol. 4(7), pages 1-7.
  5. Loi, Andrea & Matta, Stefano, 2008. "Geodesics on the equilibrium manifold," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1379-1384, December.
  6. Balasko, Yves, 1975. "The Graph of the Walras Correspondence," Econometrica, Econometric Society, vol. 43(5-6), pages 907-12, Sept.-Nov.
  7. Balasko, Yves, 1979. "A geometric approach to equilibrium analysis," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 217-228, December.
  8. Balasko, Yves, 1978. "Economic Equilibrium and Catastrophe Theory: An Introduction," Econometrica, Econometric Society, vol. 46(3), pages 557-69, May.
  9. Dierker, Egbert, 1993. "Regular economies," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 17, pages 795-830 Elsevier.
  10. Balasko, Yves, 1992. "The set of regular equilibria," Journal of Economic Theory, Elsevier, vol. 58(1), pages 1-8, October.
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