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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," Other publications TiSEM 8c5d443d-92c8-4e82-bcef-3, Tilburg University, School of Economics and Management.
    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. Tuinstra, Jan, 1997. "A price adjustment process with symmetry," Economics Letters, Elsevier, vol. 57(3), pages 297-303, December.
    5. Herbert Gintis & Antoine Mandel, 2012. "The Stability of Walrasian General Equilibrium," Post-Print halshs-00748215, HAL.
    6. Majumdar, Mukul, 2009. "Equilibrium and optimality: Some imprints of David Gale," Games and Economic Behavior, Elsevier, vol. 66(2), pages 607-626, July.
    7. Brendan Markey‐Towler, 2019. "The New Microeconomics: A Psychological, Institutional, and Evolutionary Paradigm with Neoclassical Economics as a Special Case," American Journal of Economics and Sociology, Wiley Blackwell, vol. 78(1), pages 95-135, January.
    8. 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.
    9. 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.
    10. Tamotsu Onozaki, 2018. "Nonlinearity, Bounded Rationality, and Heterogeneity," Springer Books, Springer, number 978-4-431-54971-0, June.
    11. 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.
    12. Cavalli, Fausto & Naimzada, Ahmad, 2015. "A tâtonnement process with fading memory, stabilization and optimal speed of convergence," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 116-129.
    13. William A. Barnett & Yijun He, 2002. "Bifurcations in Macroeconomic Models," Macroeconomics 0210006, University Library of Munich, Germany.
    14. 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.
    15. 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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