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A note on the structural stability of the equilibrium manifold


  • Loi, Andrea
  • Matta, Stefano


In a smooth pure exchange economy with fixed total resources we investigate whether the smooth selection property holds when endowments are redistributed across consumers through a continuous (non-local) redistribution policy. We show that if the policy is regular then there exists a unique continuous path of equilibrium prices which support it.

Suggested Citation

  • Loi, Andrea & Matta, Stefano, 2010. "A note on the structural stability of the equilibrium manifold," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 591-594, July.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:591-594

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    References listed on IDEAS

    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, March.
    2. Mas-Colell, Andreu & Nachbar, John H., 1991. "On the finiteness of the number of critical equilibria, with an application to random selections," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 397-409.
    3. Balasko, Yves, 1978. "Economic Equilibrium and Catastrophe Theory: An Introduction," Econometrica, Econometric Society, vol. 46(3), pages 557-569, May.
    4. Timothy J. Kehoe, 1985. "The Comparative Statics Properties of Tax Models," Canadian Journal of Economics, Canadian Economics Association, vol. 18(2), pages 314-334, May.
    5. 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.
    6. Balasko, Yves, 1992. "The set of regular equilibria," Journal of Economic Theory, Elsevier, vol. 58(1), pages 1-8, October.
    7. Garratt, Rod & Goenka, Aditya, 1995. "Income redistributions without catastrophes," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 441-455.
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    Cited by:

    1. Kang, Minwook, 2015. "Price-level volatility and welfare in incomplete markets with sunspots," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 58-66.
    2. Loi, Andrea & Matta, Stefano, 2015. "Increasing complexity in structurally stable models: An application to a pure exchange economy," Journal of Mathematical Economics, Elsevier, vol. 57(C), pages 20-24.


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