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Generalized tâtonnement and the solution of economic models

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  • GINSBURGH, Victor
  • WAELBROECK, Jean

Abstract

The theoretical literature on tâtonnement processes leads to the conclusion that convergence is guaranteed only urrder fairly restrictive assumptions. Recently, however, large competitive equilibrium models have been successfully solved using algorithms inspired by tâtonnement processes. This paper stresses the idea that a model builder has more freedom to set up the process than a theoretician, for whom only one assignment of prices to excess demand is reasonable; for computational purposes, any assignment is acceptable. The diagonal dominance criterion provides guidelines to set up such an assignment. It is used to show that even intractable examples of global instability can easily be solved. Copyright © 1983, Wiley Blackwell. All rights reserved
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Suggested Citation

  • GINSBURGH, Victor & WAELBROECK, Jean, 1983. "Generalized tâtonnement and the solution of economic models," LIDAM Reprints CORE 545, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:545
    DOI: 10.1111/j.1475-4932.1983.tb00587.x
    Note: In : The Economic Record, 1983
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    1. Mantel, Rolf R, 1971. "The Welfare Adjustment Process: Its Stability Properties," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 12(3), pages 415-430, October.
    2. Victor Ginsburgh & Jean Waelbroeck, 1981. "Activity Analysis and General Equilibrium Modelling," ULB Institutional Repository 2013/1649, ULB -- Universite Libre de Bruxelles.
    3. Ginsburgh, Victor & Waelbroeck, Jean, 1979. "A Note on the Simultaneous Stability of Tatonnement Processes for Computing Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 367-380, June.
    4. Victor Ginsburgh & Jean Waelbroeck, 1976. "Computational experience with a large general equilibrium model of the world economy," ULB Institutional Repository 2013/1931, ULB -- Universite Libre de Bruxelles.
    5. GINSBURG, Victor & WAELBROECK, Jean, 1976. "Computational experience with a large general equilibrium model," LIDAM Reprints CORE 289, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. David Gale, 1963. "A note on global instability of competitive equilibrium," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 81-87, March.
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