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Robustifying Learnability

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Author Info
Robert J. Tetlow () (Division of Research and Statistics Federal Reserve Board)
Peter von zur Muehlen

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Abstract

In recent years, the learnability of rational expectations equilibria (REE) and determinacy of economic structures have rightfully joined the usual performance criteria among the sought-after goals of policy design. Some contributions to the literature, including Bullard and Mitra (2001) and Evans and Honkapohja (2002), have made significant headway in establishing certain features of monetary policy rules that facilitate learning. However a treatment of policy design for learnability in worlds where agents have potentially misspecified their learning models has yet to surface. This paper provides such a treatment. We begin with the notion that because the profession has yet to settle on a consensus model of the economy, it is unreasonable to expect private agents to have collective rational expectations. We assume that agents have only an approximate understanding of the workings of the economy and that their learning the reduced forms of the economy is subject to potentially destabilizing perturbations. The issue is then whether a central bank can design policy to account for perturbations and still assure the learnability of the model. Our test case is the standard New Keynesian business cycle model. For different parameterizations of a given policy rule, we use structured singular value analysis (from robust control theory) to find the largest ranges of misspecifications that can be tolerated in a learning model without compromising convergence to an REE. In addition, we study the cost, in terms of performance in the steady state of a central bank that acts to robustify learnability on the transition path to REE.

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Paper provided by Society for Economic Dynamics in its series 2006 Meeting Papers with number 439.

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Date of creation: 03 Dec 2006
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Handle: RePEc:red:sed006:439

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Related research
Keywords: monetary policy; learnability; indeterminacy; robust control;

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Find related papers by JEL classification:
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit

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References listed on IDEAS
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  2. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," CEPR Discussion Papers 2139, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  3. Evans, George W & Honkapohja, Seppo, 2002. "Monetary Policy, Expectations and Commitment," CEPR Discussion Papers 3434, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  13. 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. [Downloadable!] (restricted)
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  16. George W. Evans & Bruce McGough, 2002. "Stable Sunspot Solutions in Models with Predetermined Variables," University of Oregon Economics Department Working Papers 2002-16, University of Oregon Economics Department, revised 29 May 2003. [Downloadable!]
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  17. 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. [Downloadable!]
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  19. Richard Clarida & Jordi Gali & Mark Gertler, 1997. "Monetary Policy Rules in Practice: Some International Evidence," NBER Working Papers 6254, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  20. Bernanke, Ben S & Woodford, Michael, 1997. "Inflation Forecasts and Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 653-84, November.
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  25. Evans, George W. & McGough, Bruce, 2005. "Monetary policy, indeterminacy and learning," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1809-1840, November. [Downloadable!] (restricted)
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  26. 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. [Downloadable!] (restricted)
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  30. Orphanides, Athanasios & Porter, Richard D. & Reifschneider, David & Tetlow, Robert & Finan, Frederico, 2000. "Errors in the measurement of the output gap and the design of monetary policy," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 117-141. [Downloadable!] (restricted)
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  31. James Bullard & Stefano Eusepi, 2003. "Did the Great Inflation occur despite policymaker commitment to a Taylor rule?," Working Paper 2003-20, Federal Reserve Bank of Atlanta. [Downloadable!]
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  32. Alexei Onatski & James H. Stock, 1999. "Robust monetary policy under model uncertainty in a small model of the U.S. economy," Proceedings, Federal Reserve Bank of San Francisco.
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  37. Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Ignazio Angeloni & Luc Aucremanne & Matteo Ciccarelli, 2006. "Price setting and inflation persistence: did EMU matter?," Working Paper Series 597, European Central Bank. [Downloadable!]
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  2. Domenico Giannone & Lucrezia Reichlin, 2006. "Trends and cycles in the euro area: how much heterogeneity and should we worry about it?," Working Paper Series 595, European Central Bank. [Downloadable!]
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  3. Katja Funke & Christiane Nickel, 2006. "Does fiscal policy matter for the trade account? A panel cointegration study," Working Paper Series 620, European Central Bank. [Downloadable!]
  4. António Afonso & Vítor Gaspar, 2006. "Excess burden and the cost of inefficiency in public services provision," Working Paper Series 601, European Central Bank. [Downloadable!]
    Other versions:
  5. Daniel A. Dias & Carlos Robalo Marques & João M. C. Santos Silva, 2006. "Measuring the importance of the uniform nonsynchronization hypothesis," Working Paper Series 606, European Central Bank. [Downloadable!]
  6. Martin Ellison & Thomas J. Sargent, 2009. "A defence of the FOMC," Economics Series Working Papers 457, University of Oxford, Department of Economics. [Downloadable!]
  7. George W. Evans & Bruce McGough, 2005. "Optimal Constrained Interest-rate Rules," University of Oregon Economics Department Working Papers 2005-9, University of Oregon Economics Department, revised 31 May 2006. [Downloadable!]
    Other versions:
  8. Paolo Vitale, 2006. "A market microstructure analysis of foreign exchange intervention," Working Paper Series 629, European Central Bank. [Downloadable!]
    Other versions:
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