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How to Control a Chaotic Economy?

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  • Holyst, Janusz A
  • Hagel, Tilo
  • Haag, Gunter
  • Weidlich, Wolfgang

Abstract

An economic system which exhibits chaotic behaviour has been stabilized on various periodic orbits by use of the Ott-Grebogi-Yorke method. This procedure has been recently applied to controlling chaotic phenomena in physical, chemical and biological systems. We adopt this method successfully for Feichtinger's generic model of two competing firms with asymmetrical investment strategies. We show that the application of this control method to the particular economic process considered brings a substantial advantage: one can easily switch form a chaotic trajectory to a regular periodic orbit and simultaneously improve the system's economic properties. Numerical simulations are presented in order to illustrate the effectiveness of the whole procedure. Coauthors are Tilo Hagel, Gunter Haag, and Wolfgang Weidlich.

Suggested Citation

  • Holyst, Janusz A & Hagel, Tilo & Haag, Gunter & Weidlich, Wolfgang, 1996. "How to Control a Chaotic Economy?," Journal of Evolutionary Economics, Springer, vol. 6(1), pages 31-42, February.
    • Handle: RePEc:spr:joevec:v:6:y:1996:i:1:p:31-42
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    Citations

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    Cited by:

    1. Heilig, Stephan & Schöbel, Rainer, 1996. "Kontrolle von Chaos am Beispiel des Kaldor-Modells," Tübinger Diskussionsbeiträge 81, University of Tübingen, School of Business and Economics.
    2. Barkley Rosser, J. Jr., 2001. "Complex ecologic-economic dynamics and environmental policy," Ecological Economics, Elsevier, vol. 37(1), pages 23-37, April.
    3. Vivaldo M. Mendes & Diana A. Mendes, 2007. "Controlling Endogenous Cycles in an OLG Economy by the OGY Method," Working Papers Series 1 ercwp0808, ISCTE-IUL, Business Research Unit (BRU-IUL).
    4. H. Siddiqi, 2015. "The Routes To Chaos In The Bitcoins Market," Review of Business and Economics Studies // Review of Business and Economics Studies, Финансовый Университет // Financial University, vol. 3(3), pages 32-38.
    5. Vivaldo M. Mendes & Diana A. Mendes & José Sousa Ramos, 2008. "Symbolic Dynamics and Control in a Matching Labor Market Model," Working Papers Series 1 ercwp1308, ISCTE-IUL, Business Research Unit (BRU-IUL).
    6. Akhmet, Marat & Akhmetova, Zhanar & Fen, Mehmet Onur, 2014. "Chaos in economic models with exogenous shocks," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 95-108.
    7. Perc, Matjaz, 2007. "Microeconomic uncertainties facilitate cooperative alliances and social welfare," Economics Letters, Elsevier, vol. 95(1), pages 104-109, April.
    8. Wieland, Cristian & Westerhoff, Frank H., 2005. "Exchange rate dynamics, central bank interventions and chaos control methods," Journal of Economic Behavior & Organization, Elsevier, vol. 58(1), pages 117-132, September.
    9. Kaas, Leo, 1998. "Stabilizing chaos in a dynamic macroeconomic model," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 313-332, January.
    10. Alexeeva, Tatyana A. & Kuznetsov, Nikolay V. & Mokaev, Timur N., 2021. "Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    11. Behrens, D. A. & Feichtinger, G. & Prskawetz, A., 1997. "Complex dynamics and control of arms race," European Journal of Operational Research, Elsevier, vol. 100(1), pages 192-215, July.
    12. Vivaldo M. Mendes & Diana A. Mendes, 2006. "Active Interest Rate Rules and the Role of Stabilization Policy R&D Tax Credits," Working Papers Series 1 ercwp0208, ISCTE-IUL, Business Research Unit (BRU-IUL).
    13. Anna Agliari & Ahmad Naimzada & Nicolò Pecora, 2017. "Nonlinear monetary policy rules in a pure exchange overlapping generations model," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 1181-1203, November.

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