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Robustifying learnability

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  • Robert J. Tetlow
  • Peter von zur Muehlen

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.

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Bibliographic Info

Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 2005-58.

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Date of creation: 2005
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Handle: RePEc:fip:fedgfe:2005-58

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Keywords: Robust control ; Monetary policy;

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  1. 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.
  2. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
  3. Michael Woodford, 2003. "Optimal Interest-Rate Smoothing," Review of Economic Studies, Wiley Blackwell, vol. 70(4), pages 861-886, October.
  4. Alexei Onatski & Noah Williams, 2002. "Modeling model uncertainty," Discussion Papers 0203-05, Columbia University, Department of Economics.
  5. Bennett T. McCallum, 1981. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc.
  6. 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.
  7. Albert Marcet & Juan P. Nicolini, 1995. "Recurrent hyperinflations and learning," Economics Working Papers 244, Department of Economics and Business, Universitat Pompeu Fabra, revised Nov 2001.
  8. George W. Evans & Seppo Honkapohja & Noah Williams, 2005. "Generalized Stochastic Gradient Learning," University of Oregon Economics Department Working Papers 2005-17, University of Oregon Economics Department, revised 18 May 2008.
  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. Nicoletta Batini & Joseph Pearlman, 2002. "Too Much Too Soon: Instability and Indeterminacy with Forward-Looking Rules," Discussion Papers 08, Monetary Policy Committee Unit, Bank of England.
  11. James B. Bullard & Stefano Eusepi, 2004. "Did the Great Inflation occur despite policymaker commitment to a Taylor rule?," Working Papers 2003-013, Federal Reserve Bank of St. Louis.
  12. Robert Tetlow & Peter von zur Muehlen, 2004. "Avoiding Nash Inflation: Bayesian and Robus Responses to Model Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(4), pages 869-899, October.
  13. Coenen, Gunter, 2007. "Inflation persistence and robust monetary policy design," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 111-140, January.
  14. Kaushik Mitra & James Bullard, . "Learning About Monetary Policy Rules," Discussion Papers 00/41, Department of Economics, University of York.
  15. Michael Ehrmann and Frank Smets, 2001. "Uncertain Potential Output: Implications for Monetary Policy," Computing in Economics and Finance 2001 8, Society for Computational Economics.
  16. Andrew T.. Levin & Volker Wieland & John Williams, 1999. "Robustness of Simple Monetary Policy Rules under Model Uncertainty," NBER Chapters, in: Monetary Policy Rules, pages 263-318 National Bureau of Economic Research, Inc.
  17. 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.
  18. Ben S. Bernanke & Michael Woodford, 1997. "Inflation Forecasts and Monetary Policy," NBER Working Papers 6157, National Bureau of Economic Research, Inc.
  19. Williams, John C. & Levin, Andrew T. & Wieland, Volker, 2001. "The performance of forecast-based monetary policy rules under model uncertainty," Working Paper Series 0068, European Central Bank.
  20. Söderström, Ulf, 2000. "Monetary policy with uncertain parameters," Working Paper Series 0013, European Central Bank.
  21. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1997. "Monetary Policy Rules in Practice: Some International Evidence," CEPR Discussion Papers 1750, C.E.P.R. Discussion Papers.
  22. George W. Evans & Seppo Honkapohja, 2002. "Monetary Policy, Expectations and Commitment," University of Oregon Economics Department Working Papers 2005-11, University of Oregon Economics Department, revised 06 Apr 2005.
  23. George W. Evans & Seppo Honkapohja, 2001. "Expectations and the Stability Problem for Optimal Monetary Policies," University of Oregon Economics Department Working Papers 2001-6, University of Oregon Economics Department, revised 03 Aug 2001.
  24. Ben S. Bernanke & Julio J. Rotemberg, 1997. "NBER Macroeconomics Annual 1997, Volume 12," NBER Books, National Bureau of Economic Research, Inc, number bern97-1.
  25. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-60, September.
  26. Woodford, M., 1999. "Optimal Monetary Policy Inertia.," Papers 666, Stockholm - International Economic Studies.
  27. Evans, George W & Honkapohja, Seppo, 2003. "Adaptive Learning and Monetary Policy Design," CEPR Discussion Papers 3962, C.E.P.R. Discussion Papers.
  28. 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.).
  29. Evans, George W. & McGough, Bruce, 2003. "Monetary policy, indeterminacy and learning," CFS Working Paper Series 2003/37, Center for Financial Studies (CFS).
  30. Athanasios Orphanides & Richard D. Porter & David Reifschneider & Robert Tetlow & Frederico Finan, 1999. "Errors in the measurement of the output gap and the design of monetary policy," Finance and Economics Discussion Series 1999-45, Board of Governors of the Federal Reserve System (U.S.).
  31. GEORGE W. EVANS & BRUCE McGOUGH, 2007. "Optimal Constrained Interest-Rate Rules," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(6), pages 1335-1356, 09.
  32. 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.
  33. Honkapohja, Seppo & Mitra, Kaushik, 2002. "Learning stability in economics with heterogeneous agents," Working Paper Series 0120, European Central Bank.
  34. Garratt, Anthony & Hall, Stephen G., 1997. "E-equilibria and adaptive expectations: Output and inflation in the LBS model," Journal of Economic Dynamics and Control, Elsevier, vol. 21(7), pages 1149-1171, June.
  35. Kaushik Mitra & James Bullard, 2004. "Determinacy, Learnability, and Monetary Policy Inertia," Royal Holloway, University of London: Discussion Papers in Economics 04/14, Department of Economics, Royal Holloway University of London, revised Jul 2004.
  36. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  37. Rogoff, Kenneth, 1985. "The Optimal Degree of Commitment to an Intermediate Monetary Target," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1169-89, November.
  38. Giannitsarou, Chryssi, 2005. "E-Stability Does Not Imply Learnability," Macroeconomic Dynamics, Cambridge University Press, vol. 9(02), pages 276-287, April.
  39. 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.
  40. Marvin Goodfriend & Robert King, 1997. "The New Neoclassical Synthesis and the Role of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 231-296 National Bureau of Economic Research, Inc.
  41. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
  42. 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.
  43. Giordani, Paolo & Söderlind, Paul, 2002. "Solution of Macromodels with Hansen-Sargent Robust Policies: Some Extensions," Working Paper Series in Economics and Finance 499, Stockholm School of Economics, revised 15 May 2003.
  44. Walsh, Carl E., 2005. "Parameter misspecification and robust monetary policy rules," Working Paper Series 0477, European Central Bank.
  45. 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.
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Cited by:
  1. Martin Ellison & Thomas J. Sargent, 2009. "A defence of the FOMC," Economics Series Working Papers 457, University of Oxford, Department of Economics.
    • Martin Ellison & Thomas J. Sargent, 2012. "A Defense Of The Fomc," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(4), pages 1047-1065, November.
  2. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.), Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076 Central Bank of Chile.
  3. Alexander Ludwig & Alexander Zimper, 2013. "Biased Bayesian learning with an application to the risk-free rate puzzle," Working Papers 201366, University of Pretoria, Department of Economics.
  4. Mostafavi, Moeen & Fatehi, Ali-Reza & Shakouri G., Hamed & Von zur Muehlen, Peter, 2011. "A predictive multi-agent approach to model systems with linear rational expectations," MPRA Paper 35351, University Library of Munich, Germany, revised 11 Dec 2011.
  5. Heinz-Peter Spahn, 2009. "The New Keynesian Microfoundations of Macroeconomics," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 317/2009, Department of Economics, University of Hohenheim, Germany.
  6. Mostafavi, Moeen & Shakouri G., Hamed & Fatehi, Ali-Reza, 2010. "Why the determinacy condition is a weak criterion in rational expectations models," MPRA Paper 28320, University Library of Munich, Germany.

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