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Improving the performance of an economic system: Controlling chaos

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  • Michael Kopel

    (University of Technology, Department of Managerial Economics and Industrial Organization, Theresianumgasse 27/330, A-1040 Wien, Austria)

Abstract

In this paper we use a simple model of evolutionary market dynamics to illustrate how chaotic behavior can be controlled by making small changes in a parameter that is accessible to the decision makers. This approach is commonly referred to as `targeting' - one can easily switch from a chaotic evolution of the market to any desired regular motion. We show that complex dynamics leads to inferior performance in our model and that an application of such a correction mechanism by the decision makers of the firms yields a considerable improvement in the system's economical properties in terms of profits and profitability. We present numerical simulations in order to illustrate the effectiveness of this method.

Suggested Citation

  • Michael Kopel, 1997. "Improving the performance of an economic system: Controlling chaos," Journal of Evolutionary Economics, Springer, vol. 7(3), pages 269-289.
    • Handle: RePEc:spr:joevec:v:7:y:1997:i:3:p:269-289
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    Citations

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    Cited by:

    1. Salarieh, Hassan & Alasty, Aria, 2008. "Delayed feedback control via minimum entropy strategy in an economic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 851-860.
    2. J. Barkley Rosser, 1999. "On the Complexities of Complex Economic Dynamics," Journal of Economic Perspectives, American Economic Association, vol. 13(4), pages 169-192, Fall.
    3. Huang, Weihong & Zhang, Yang, 2007. "Distributional dynamics of cautious economic adjustment processes," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 389-407, March.
    4. Barkley Rosser, J. Jr., 2001. "Complex ecologic-economic dynamics and environmental policy," Ecological Economics, Elsevier, vol. 37(1), pages 23-37, April.
    5. 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).
    6. 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).
    7. Salarieh, Hassan & Alasty, Aria, 2009. "Chaos control in an economic model via minimum entropy strategy," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 839-847.
    8. 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.
    9. A. Matsumoto, 2006. "Controlling the Cournot-Nash Chaos," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 379-392, February.
    10. 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.
    11. Athanasiou, George & Kotsios, Stelios, 2008. "An algorithmic approach to exchange rate stabilization," Economic Modelling, Elsevier, vol. 25(6), pages 1246-1260, November.
    12. Ekaterina V. Orlova, 2024. "A Novel Brillouin and Langevin Functions Dynamic Model for Two Conflicting Social Groups: Study of R&D Processes," Mathematics, MDPI, vol. 12(17), pages 1-26, September.
    13. 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.
    14. Chian, Abraham C.-L. & Rempel, Erico L. & Rogers, Colin, 2006. "Complex economic dynamics: Chaotic saddle, crisis and intermittency," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1194-1218.
    15. Baggio, Rodolfo, 2015. "Looking into the future of complex dynamic systems," MPRA Paper 65549, University Library of Munich, Germany.
    16. Kopel, Michael & Westerhoff, Frank & Wieland, Cristian, 2008. "Regulating complex dynamics in firms and economic systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 911-919.
    17. Ahmad K. Naimzada & Serena Sordi, 2018. "On controlling chaos in a discrete†time Walrasian tâtonnement process," Metroeconomica, Wiley Blackwell, vol. 69(1), pages 178-194, February.
    18. Chen, Liang & Chen, Guanrong, 2007. "Controlling chaos in an economic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 349-358.
    19. Matsumoto, Akio, 2005. "Density function of piecewise linear transformation," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 631-653, April.
    20. Matsumoto, Akio & Nonaka, Yasuo, 2006. "Statistical dynamics in a chaotic Cournot model with complementary goods," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 769-783, December.
    21. He, Xue-Zhong & Westerhoff, Frank H., 2005. "Commodity markets, price limiters and speculative price dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 29(9), pages 1577-1596, September.
    22. 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).
    23. Huang, Weihong, 2008. "The long-run benefits of chaos to oligopolistic firms," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1332-1355, April.
    24. 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.
    25. Kaas, Leo, 1998. "Stabilizing chaos in a dynamic macroeconomic model," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 313-332, January.

    More about this item

    Keywords

    Cobweb models ; Bounded rationality ; Controlling chaos;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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