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How Robust is Robust Control in the Time Domain?

  • Marco P. Tucci

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    By applying robust control the decision maker wants to make good decisions when his model is only a good approximation of the true one. Such decisions are said to be robust to model misspecification. In this paper it is shown that both a “probabilistically sophisticated” and a non-“probabilistically sophisticated” decision maker applying robust control in the time domain are indeed assuming a very special kind of “misspecification of the approximating model.” This is true when unstructured uncertainty à la Hansen and Sargent is used or when uncertainty is related to unknown structural parameters of the model

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    File URL: http://www.econ-pol.unisi.it/quaderni/569.pdf
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    Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 569.

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    Date of creation: Sep 2009
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    Handle: RePEc:usi:wpaper:569
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    1. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," NBER Working Papers 7261, National Bureau of Economic Research, Inc.
    2. Julio J. Rotemberg & Michael Woodford, 1998. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy: Expanded Version," NBER Technical Working Papers 0233, National Bureau of Economic Research, Inc.
    3. Marc Giannoni, 2006. "Robust Optimal Policy in a Forward-Looking Model with Parameter and Shock Uncertainty," NBER Working Papers 11942, National Bureau of Economic Research, Inc.
    4. Hansen, Lars Peter & Sargent, Thomas J., 2005. "Recursive robust estimation and control without commitment," Discussion Paper Series 1: Economic Studies 2005,28, Deutsche Bundesbank, Research Centre.
    5. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "The science of monetary policy: A new Keynesian perspective," Economics Working Papers 356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
    6. Lars Peter Hansen & Thomas J. Sargent & Thomas D. Tallarini Jr., 1997. "Robust Permanent Income and Pricing," Levine's Working Paper Archive 596, David K. Levine.
    7. Robert J. Tetlow & Peter von zur Muehlen, 2000. "Robust monetary policy with misspecified models: does model uncertainty always call for attenuated policy?," Finance and Economics Discussion Series 2000-28, Board of Governors of the Federal Reserve System (U.S.).
    8. Onatski, Alexei & Stock, James H., 2002. "Robust Monetary Policy Under Model Uncertainty In A Small Model Of The U.S. Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 85-110, February.
    9. Tetlow, Robert J. & von zur Muehlen, Peter, 2001. "Simplicity versus optimality: The choice of monetary policy rules when agents must learn," Journal of Economic Dynamics and Control, Elsevier, vol. 25(1-2), pages 245-279, January.
    10. Julio Rotemberg & Michael Woodford, 1997. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 297-361 National Bureau of Economic Research, Inc.
    11. Campbell, John Y, 1987. "Does Saving Anticipate Declining Labor Income? An Alternative Test of the Permanent Income Hypothesis," Econometrica, Econometric Society, vol. 55(6), pages 1249-73, November.
    12. Marco Tucci, 2006. "Understanding the Difference Between Robust Control and Optimal Control in a Linear Discrete-Time System with Time-Varying Parameters," Computational Economics, Society for Computational Economics, vol. 27(4), pages 533-558, June.
    13. Heaton, John, 1993. "The Interaction between Time-Nonseparable Preferences and Time Aggregation," Econometrica, Econometric Society, vol. 61(2), pages 353-85, March.
    14. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 40-84, February.
    15. Barro, Robert J, 1979. "On the Determination of the Public Debt," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 940-71, October.
    16. Bernhard, Pierre, 2002. "Survey Of Linear Quadratic Robust Control," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 19-39, February.
    17. Lars Peter Hansen & Thomas J. Sargent, 2001. "Acknowledging Misspecification in Macroeconomic Theory," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 519-535, July.
    18. Giannoni, Marc P., 2002. "Does Model Uncertainty Justify Caution? Robust Optimal Monetary Policy In A Forward-Looking Model," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 111-144, February.
    19. Hansen, Lars Peter & Sargent, Thomas J., 2003. "Robust control of forward-looking models," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 581-604, April.
    20. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-87, December.
    21. Christopher A. Sims, 2001. "Pitfalls of a Minimax Approach to Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 51-54, May.
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