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Chaotic Tatonnement

Author

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  • Bala, Venkatesh
  • Majumdar, Mukul

Abstract

Debreu's theorem on excess demand functions is used to demonstrate the possibilities of ergodic and topological chaos in a discrete-time tatonnement process with only two goods. The result is in sharp contrast with the well-known result of Arrow and Hurwicz on system stability in a continuous time model of price adjustment with two commodities.

Suggested Citation

  • Bala, Venkatesh & Majumdar, Mukul, 1992. "Chaotic Tatonnement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(4), pages 437-445, October.
  • Handle: RePEc:spr:joecth:v:2:y:1992:i:4:p:437-45
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    Citations

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    Cited by:

    1. van der Laan, G. & Talman, A.J.J., 2002. "Dynamic Adjustment of Supply Constrained Disequilibria to Walrasian Equilibrium," Discussion Paper 2002-61, Tilburg University, Center for Economic Research.
    2. Eric Kemp-Benedict, 2011. "Second-Order, Dissipative T\^atonnement: Economic Interpretation and 2-Point Limit Cycles," Papers 1108.0188, arXiv.org, revised Aug 2011.
    3. He, Yijun & Barnett, William A., 2006. "Singularity bifurcations," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 5-22, March.
    4. Bala, Venkatesh & Majumdar, Mukul & Mitra, Tapan, 1998. "A note on controlling a chaotic tatonnement," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 411-420, January.
    5. Tuinstra, Jan, 1997. "A price adjustment process with symmetry," Economics Letters, Elsevier, vol. 57(3), pages 297-303, December.
    6. Herbert Gintis & Antoine Mandel, 2012. "The Stability of Walrasian General Equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00748215, HAL.
    7. Majumdar, Mukul, 2009. "Equilibrium and optimality: Some imprints of David Gale," Games and Economic Behavior, Elsevier, vol. 66(2), pages 607-626, July.
    8. William A. Barnett & Yijun He, 2002. "Bifurcations in Macroeconomic Models," Macroeconomics 0210006, EconWPA.
    9. Richards, Diana & Hays, Jude C., 1998. "Navigating a nonlinear environment: An experimental study of decision making in a chaotic setting," Journal of Economic Behavior & Organization, Elsevier, vol. 35(3), pages 281-308, April.
    10. 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.
    11. Ahmad K. Naimzada & Serena Sordi, 2016. "On controlling chaos in a discrete tâtonnement process," Department of Economics University of Siena 729, Department of Economics, University of Siena.
    12. Alfredo Garcia & Mingyi Hong & Jorge Barrera, 2012. "“Cap and Trade” for Congestion Control," Dynamic Games and Applications, Springer, vol. 2(3), pages 280-293, September.

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