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Convergence of iterative tâtonnement without price normalization

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  • Kitti, Mitri

Abstract

This paper presents global convergence conditions for a non-normalized fixed-point iteration in computing the equilibria of exchange economies. The usual conditions for the stability of Walras' tâtonnement are obtained as a limiting case from these conditions. The iteration leads to an equilibrium under a strengthened form of the weak axiom of revealed preferences introduced in the paper. Results for economies with global gross substitutability and no trade at equilibrium are also presented. Furthermore, it is shown that a rather general class of non-normalized iterations converges under the same conditions as the fixed-point iteration.

Suggested Citation

  • Kitti, Mitri, 2010. "Convergence of iterative tâtonnement without price normalization," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1077-1091, June.
  • Handle: RePEc:eee:dyncon:v:34:y:2010:i:6:p:1077-1091
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    References listed on IDEAS

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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, November.
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    4. Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical Dynamics and Economics," Working Paper Series 293, Research Institute of Industrial Economics.
    5. Goeree, Jacob K. & Hommes, Cars & Weddepohl, Claus, 1998. "Stability and complex dynamics in a discrete tatonnement model," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 395-410, January.
    6. Anjan Mukherji, 1999. "A simple example of complex dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 741-749.
    7. Yves Balasko, 2007. "Out-of-equilibrium price dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 413-435, December.
    8. Tuinstra, Jan, 2000. "A discrete and symmetric price adjustment process on the simplex," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 881-907, June.
    9. Saari, Donald G, 1985. "Iterative Price Mechanisms," Econometrica, Econometric Society, vol. 53(5), pages 1117-1131, September.
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    Cited by:

    1. Mathieu Moslonka-Lefebvre & Herv'e Monod & Christopher A. Gilligan & Elisabeta Vergu & Jo~ao A. N. Filipe, 2013. "Epidemics in markets with trade friction and imperfect transactions," Papers 1310.6320, arXiv.org.

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