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Learning Dynamics with Data (Quasi-) Differencing

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  • Pei Kuang

Abstract

The paper studies learning with data (quasi-)differencing where agents need to (quasi-)difference data and then use an otherwise standard least squares learning procedure. It (1) establishes that the E-stability Principle is still valid for analyzing the convergence of the learning with (quasi-) differencing data process to the Rational Expectations Equilibrium (REE), (2) provides new perspectives on the stability of the Rational Expectations bubble solutions, and equilbrium selection under adaptive learning, (3) demonstrates the importance of consideringagents' uncertainty and learning about the long-run growth of endogenous variables in dynamic macroeconomic models, (4) provides recommendations and a caveat on addressing model misspecifications in econometric practice, and (5) showslearning with (quasi-) differencing data helps understand some salient features of fluctuations in asset prices, inflation and aggregate economic activities.

Suggested Citation

  • Pei Kuang, 2014. "Learning Dynamics with Data (Quasi-) Differencing," Discussion Papers 15-06, Department of Economics, University of Birmingham.
  • Handle: RePEc:bir:birmec:15-06
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    File URL: https://repec.cal.bham.ac.uk/pdf/15-06.pdf
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    References listed on IDEAS

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    1. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
    2. Timothy Cogley & Thomas J. Sargent, 2005. "Drift and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 262-302, April.
    3. William Branch & George W. Evans, 2007. "Model Uncertainty and Endogenous Volatility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(2), pages 207-237, April.
    4. Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
    5. Klaus Adam, 2007. "Experimental Evidence on the Persistence of Output and Inflation," Economic Journal, Royal Economic Society, vol. 117(520), pages 603-636, April.
    6. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
    7. 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.
    8. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    9. Klaus Adam, 2003. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 887-907.
    10. McCallum, Bennett T., 2009. "Inflation determination with Taylor rules: Is new-Keynesian analysis critically flawed?," Journal of Monetary Economics, Elsevier, vol. 56(8), pages 1101-1108, November.
    11. Cochrane, John H., 2009. "Can learnability save new-Keynesian models?," Journal of Monetary Economics, Elsevier, vol. 56(8), pages 1109-1113, November.
    12. Bray, Margaret, 1982. "Learning, estimation, and the stability of rational expectations," Journal of Economic Theory, Elsevier, vol. 26(2), pages 318-339, April.
    13. Evans, George W. & Ramey, Garey, 2006. "Adaptive expectations, underparameterization and the Lucas critique," Journal of Monetary Economics, Elsevier, vol. 53(2), pages 249-264, March.
    14. Christopher A. Sims & Tao Zha, 2006. "Were There Regime Switches in U.S. Monetary Policy?," American Economic Review, American Economic Association, vol. 96(1), pages 54-81, March.
    15. Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-247, July-Sept.
    16. Taylor, John B, 1977. "Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations," Econometrica, Econometric Society, vol. 45(6), pages 1377-1385, September.
    17. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
    18. 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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    More about this item

    Keywords

    Expectations; Convergence; Long-Run Growth; Serial Correlation; Bubbles; Underparameterization;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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