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A Riemannian metric on the equilibrium manifold: the smooth case

Author

Listed:
  • Stefano Matta

    (University of Cagliari)

  • Andrea Loi

    (University of Cagliari)

Abstract

In a pure exchange smooth economy with fixed total resources, we construct a Riemannian metric on the equilibrium manifold such that the minimal geodesic connecting two (sufficiently close) regular equilibria intersects the codimension one stratum of critical equilibria in a finite number of points.

Suggested Citation

  • Stefano Matta & Andrea Loi, 2006. "A Riemannian metric on the equilibrium manifold: the smooth case," Economics Bulletin, AccessEcon, vol. 4(30), pages 1-9.
    • Handle: RePEc:ebl:ecbull:eb-06d50007
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    File URL: http://www.accessecon.com/pubs/EB/2006/Volume4/EB-06D50007A.pdf
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    References listed on IDEAS

    as
    1. Balasko, Yves, 1979. "A geometric approach to equilibrium analysis," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 217-228, December.
    2. Stefano Matta, 2005. "A riemannian metric on the equilibrium manifold," Economics Bulletin, AccessEcon, vol. 4(7), pages 1-7.
    3. repec:ebl:ecbull:v:4:y:2005:i:7:p:1-7 is not listed on IDEAS
    4. 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.
    5. Balasko, Yves, 1992. "The set of regular equilibria," Journal of Economic Theory, Elsevier, vol. 58(1), pages 1-8, October.
    6. Balasko, Yves, 1978. "Economic Equilibrium and Catastrophe Theory: An Introduction," Econometrica, Econometric Society, vol. 46(3), pages 557-569, May.
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    Cited by:

    1. Loi, Andrea & Matta, Stefano, 2008. "Geodesics on the equilibrium manifold," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1379-1384, December.
    2. Loi, Andrea & Matta, Stefano, 2009. "Evolution paths on the equilibrium manifold," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 854-859, December.

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    More about this item

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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