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On divergent dynamics with ordinary least squares learning

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  • Chatterji, Shurojit
  • Lobato, Ignacio N.

Abstract

This article addresses the stability properties of a simple economy (characterized by a one-dimensional state variable) when the representative agent, confronted by trajectories that are divergent from the steady state, performs transformations in that variable in order to improve forecasts. We find that instability continues to be a robust outcome for transformations such as differencing and detrending the data, the two most typical approaches in econometrics to handle nonstationary time series data. We also find that inverting the data, a transformation that can be motivated by the agent reversing the time direction in an attempt to improve her forecasts, may lead the dynamics to a perfect-foresight path.

Suggested Citation

  • Chatterji, Shurojit & Lobato, Ignacio N., 2015. "On divergent dynamics with ordinary least squares learning," Journal of Economic Behavior & Organization, Elsevier, vol. 109(C), pages 1-9.
    • Handle: RePEc:eee:jeborg:v:109:y:2015:i:c:p:1-9
    DOI: 10.1016/j.jebo.2014.10.003
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    References listed on IDEAS

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    1. In-Koo Cho & Kenneth Kasa, 2015. "Learning and Model Validation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 45-82.
    2. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
    3. Chatterji, Shurojit & Chattopadhyay, Subir, 2000. "Global stability in spite of "local instability" with learning," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 155-165, March.
    4. Seppo Honkapohja, 2001. "Learning Dynamics: Complete and Incomplete Learning," International Economic Association Series, in: Jacques Drèze (ed.), Advances in Macroeconomic Theory, chapter 12, pages 239-254, Palgrave Macmillan.
    5. Shurojit Chatterji, 2002. "The convergence of least squares learning in stochastic temporary equilibrium models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 837-847.
    6. Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
    7. Barnett,William A. & Cornet,Bernard & D'Aspremont,Claude & Gabszewicz,Jean & Mas-Colell,Andreu (ed.), 1991. "Equilibrium Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521392198, October.
    8. Shurojit Chatterji & Ignacio N. Lobato, 2010. "Transformations of the state variable and learning dynamics," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(4), pages 385-403, December.
    9. Jan Wenzelburger, 2002. "Global convergence of adaptive learning in models of pure exchange," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 649-672.
    10. Fuchs, Gerard, 1979. "Is error learning behaviour stabilizing?," Journal of Economic Theory, Elsevier, vol. 20(3), pages 300-317, June.
    11. Bullard, James & Duffy, John, 1998. "A model of learning and emulation with artificial adaptive agents," Journal of Economic Dynamics and Control, Elsevier, vol. 22(2), pages 179-207, February.
    12. Evans, George W. & Honkapohja, Seppo, 1999. "Learning dynamics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 7, pages 449-542, Elsevier.
    13. Georges, Christophre, 2008. "Staggered updating in an artificial financial market," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2809-2825, September.
    14. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-1160, September.
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