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Expected optimal feedback with Time-Varying Parameters

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  • Marco P. Tucci
  • David A. Kendrick
  • Hans M. Amman

Abstract

In this paper we derive, by using dynamic programming, the closed loop form of the Expected Optimal Feedback rule with time varying parameter. As such this paper extends the work of Kendrick (1981, 2002, Chapter 6) for the time varying parameter case. Furthermore, we show that the Beck and Wieland (2002) model can be cast into this framework and can be treated as a special case of this solution.

Suggested Citation

  • Marco P. Tucci & David A. Kendrick & Hans M. Amman, 2007. "Expected optimal feedback with Time-Varying Parameters," Department of Economics University of Siena 497, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:497
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    References listed on IDEAS

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    1. Stephen J. Turnovsky, 1976. "Optimal Stabilization Policies for Stochastic Linear Systems: The Case of Correlated Multiplicative and Additive Disturbances," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(1), pages 191-194.
    2. Beck, Gunter W. & Wieland, Volker, 2002. "Learning and control in a changing economic environment," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1359-1377, August.
    3. Chow, Gregory C, 1973. "Effect of Uncertainty on Optimal Control Policies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 632-645, October.
    4. Chow, Gregory C, 1975. "A Solution to Optimal Control of Linear Systems with Unknown Parameters," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 338-345, August.
    5. MacRae, Elizabeth Chase, 1975. "An Adaptive Learning Rule for Multiperiod Decision Problems," Econometrica, Econometric Society, vol. 43(5-6), pages 893-906, Sept.-Nov.
    6. Elizabeth Chase MacRae, 1972. "Linear Decision with Experimentation," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 1, number 4, pages 437-447, National Bureau of Economic Research, Inc.
    7. Tucci, Marco P., 1997. "Adaptive control in the presence of time-varying parameters," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 39-47, November.
    8. Granger Clive W.J., 2008. "Non-Linear Models: Where Do We Go Next - Time Varying Parameter Models?," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-11, September.
    9. Turnovsky, Stephen J, 1975. "Optimal Choice of Monetary Instrument in a Linear Economic Model with Stochastic Coefficients," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 7(1), pages 51-80, February.
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    Cited by:

    1. Tucci, Marco P. & Kendrick, David A. & Amman, Hans M., 2010. "The parameter set in an adaptive control Monte Carlo experiment: Some considerations," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1531-1549, September.
    2. D.A. Kendrick & H.M. Amman & M.P. Tucci, 2008. "Learning About Learning in Dynamic Economic Models," Working Papers 08-20, Utrecht School of Economics.

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    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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