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Nonlinear dynamics and chaos theory in economics: a historical perspective (in Russian)

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  • Artem Prokhorov

    (Concordia University, Canada)

Abstract

This essay focuses on the genesis of ideas of nonlinearity, stochastics, and dynamics in economic thought as a series of intellectual advances that connected the linear static (quasi-dynamic) determinism of the 18th-19th centuries with the linear mechanistic systems with stochastic terms and the nonlinear deterministic and stochastic dynamic models of the late 20th century, specifically, the chaos theory. The emphasis is placed on the developments of the second half of the 20th century. Technicalities are avoided.

Suggested Citation

  • Artem Prokhorov, 2008. "Nonlinear dynamics and chaos theory in economics: a historical perspective (in Russian)," Quantile, Quantile, issue 4, pages 79-92, March.
    • Handle: RePEc:qnt:quantl:y:2008:i:4:p:79-92
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    References listed on IDEAS

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    1. Hsieh, David A, 1991. "Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-1877, December.
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    3. Beine, Michel & Laurent, Sebastien & Lecourt, Christelle, 2003. "Official central bank interventions and exchange rate volatility: Evidence from a regime-switching analysis," European Economic Review, Elsevier, vol. 47(5), pages 891-911, October.
    4. Day, R H, 1992. "Complex Economic Dynamics: Obvious in History, Generic in Theory, Elusive in Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 9-23, Suppl. De.
    5. Ramsey, James B & Sayers, Chera L & Rothman, Philip, 1990. "The Statistical Properties of Dimension Calculations Using Small Data Sets: Some Economic Applications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 991-1020, November.
    6. Robinson, P. M., 1977. "The estimation of a nonlinear moving average model," Stochastic Processes and their Applications, Elsevier, vol. 5(1), pages 81-90, February.
    7. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    8. R. M. Goodwin, 1955. "A Model Of Cyclical Growth," International Economic Association Series, in: Erik Lundberg (ed.), The Business Cycle in the Post-War World, pages 203-221, Palgrave Macmillan.
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    2. Poomjai Nacaskul & Kritchaya Janjaroen & Suparit Suwanik, 2012. "Economic Rationales for Central Banking: Historical Evolution, Policy Space, Institutional Integrity, and Paradigm Challenges," Working Papers 2012-04, Monetary Policy Group, Bank of Thailand.

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