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Avoiding Nash inflation: Bayesian and robust responses to model uncertainty

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Abstract

In his 1999 monograph The Conquest of American Inflation Tom Sargent describes how a policymaker, who applies a constant-gain algorithm in estimating the Phillips curve, can fall into the grip of an induction problem: concluding on the basis of reduced-form evidence that the trade-off between inflation and output is more favorable than it actually is. This results in oscillations between periods of disinflation and reflation. The problem arises because the policymaker is naive about possible misspecification, her role in creating that misspecification, and its role in policy design. In particular, while her use of a constant-gain algorithm admits the possibility that her model may be misspecified, she does not take this into consideration when designing policy. In this paper, we relax this assumption. We derive five policy rules which treat possible misspecification in three different ways. First, the linear-quadratic Gaussian (LQG) rule exhibits the familiar pattern of escape dynamics described by Sargent. We show a rule that takes uncertainty seriously, but in a Bayesian fashion, does no better. Finally, we consider three rules that are robust in the sense of Knight. The robust rules do a worse job than the LQG approach, and sometimes a lot worse. This is so even though the induction problem faced by the policymaker provides a prima facie case for being robust. We conclude that there appears to be no obvious tool that can be applied mechanically to alleviate the induction problem. A corollary of this finding is that Sargent's story for the inflation of the 1970s is robust to relaxing a key assumption in the original monograph.

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  • Robert J. Tetlow & Peter Von zur Muehlen, 2002. "Avoiding Nash inflation: Bayesian and robust responses to model uncertainty," Finance and Economics Discussion Series 2002-9, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:2002-9
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    1. Thomas J. Sargent & Noah Williams, 2005. "Impacts of Priors on Convergence and Escapes from Nash Inflation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 360-391, April.
    2. Geoffrey Shuetrim & Christopher Thompson, 2003. "The Implications of Uncertainty for Monetary Policy," The Economic Record, The Economic Society of Australia, vol. 79(246), pages 370-379, September.
    3. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    4. Robert J. Barro & David B. Gordon, 2019. "A Positive Theory of Monetary Policy in a Natural Rate Model," Credit and Capital Markets, Credit and Capital Markets, vol. 52(4), pages 505-525.
    5. 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.
    6. Christina D. Romer & David H. Romer, 1997. "Reducing Inflation: Motivation and Strategy," NBER Books, National Bureau of Economic Research, Inc, number rome97-1, January-J.
    7. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules Under Model Uncertainty," American Economic Review, American Economic Association, vol. 93(3), pages 622-645, June.
    8. Adam, Klaus, 2004. "On the relation between robust and Bayesian decision making," Journal of Economic Dynamics and Control, Elsevier, vol. 28(10), pages 2105-2117, September.
    9. Timothy Cogley & Thomas J. Sargent, 2002. "Evolving Post-World War II US Inflation Dynamics," NBER Chapters, in: NBER Macroeconomics Annual 2001, Volume 16, pages 331-388, National Bureau of Economic Research, Inc.
    10. Alexei Onatski & Noah Williams, 2003. "Modeling Model Uncertainty," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1087-1122, September.
    11. Bullard, James & Cho, In-Koo, 2005. "Escapist policy rules," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1841-1865, November.
    12. Gabriel Srour, 1999. "Inflation Targeting under Uncertainty," Technical Reports 85, Bank of Canada.
    13. Lawrence J. Christiano & Christopher J. Gust, 2000. "The expectations trap hypothesis," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 25(Q II), pages 21-39.
    14. repec:cup:macdyn:v:6:y:2002:i:1:p:85-110 is not listed on IDEAS
    15. Sargent, Thomas J, 1971. "A Note on the 'Accelerationist' Controversy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 3(3), pages 721-725, August.
    16. Volker Wieland, "undated". "Monetary Policy and Uncertainty about the Natural Unemployment Rate," Computing in Economics and Finance 1997 11, Society for Computational Economics.
    17. Roger Craine & Arthur M. Havenner, 1977. "Optimal monetary policy with uncertainty," Special Studies Papers 101, Board of Governors of the Federal Reserve System (U.S.).
    18. Peter Isard & Douglas Laxton & Ann-Charlotte Eliasson, 1999. "Simple Monetary Policy Rules Under Model Uncertainty," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(4), pages 537-577, November.
    19. Peter Von zur Muehlen, 2001. "Activist vs. non-activist monetary policy: optimal rules under extreme uncertainty," Finance and Economics Discussion Series 2001-02, Board of Governors of the Federal Reserve System (U.S.).
    20. Gerali, Andrea & Lippi, Francesco, 2001. "On the 'Conquest' of Inflation," CEPR Discussion Papers 3101, C.E.P.R. Discussion Papers.
    21. 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.
    22. Marc P. Giannoni, 2007. "Robust optimal monetary policy in a forward-looking model with parameter and shock uncertainty," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(1), pages 179-213.
    23. In-Koo Cho & Noah Williams & Thomas J. Sargent, 2002. "Escaping Nash Inflation," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 1-40.
    24. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, January-J.
    25. 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(1), pages 85-110, February.
    26. 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.
    27. Kenneth Kasa, 2004. "Learning, Large Deviations, And Recurrent Currency Crises," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 141-173, February.
    28. Thomas Sargent & Noah Williams & Tao Zha, 2009. "The Conquest of South American Inflation," Journal of Political Economy, University of Chicago Press, vol. 117(2), pages 211-256, April.
    29. Ellison, Martin & Valla, Natacha, 2001. "Learning, uncertainty and central bank activism in an economy with strategic interactions," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 153-171, August.
    30. Guenter W. Beck and Volker Wieland, 2001. "Learning, Stabilization and Credibility: Optimal Monetary Policy in a Changing Economy," Computing in Economics and Finance 2001 162, Society for Computational Economics.
    31. Ulf Söderström, 2002. "Monetary Policy with Uncertain Parameters," Scandinavian Journal of Economics, Wiley Blackwell, vol. 104(1), pages 125-145, March.
    32. Ray C. Fair, 2000. "Testing the NAIRU Model for the United States," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 64-71, February.
    33. William Poole & Robert H. Rasche, 2002. "Flation," Review, Federal Reserve Bank of St. Louis, vol. 84(Nov), pages 1-6.
      • William Poole, 2002. "Flation," Speech 49, Federal Reserve Bank of St. Louis.
    34. Drew, Aaron & Hunt, Benjamin, 2000. "Efficient simple policy rules and the implications of potential output uncertainty," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 143-160.
    35. Lucas, Robert Jr, 1976. "Econometric policy evaluation: A critique," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 1(1), pages 19-46, January.
    36. Glenn D. Rudebusch, 2001. "Is The Fed Too Timid? Monetary Policy In An Uncertain World," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 203-217, May.
    37. 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.
    38. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    39. Frank Smets, 2002. "Output gap uncertainty: Does it matter for the Taylor rule?," Empirical Economics, Springer, vol. 27(1), pages 113-129.
    40. J. Tetlow, Robert & von zur Muehlen, Peter, 2001. "Robust monetary policy with misspecified models: Does model uncertainty always call for attenuated policy?," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 911-949, June.
    41. Sack, Brian, 2000. "Does the fed act gradually? A VAR analysis," Journal of Monetary Economics, Elsevier, vol. 46(1), pages 229-256, August.
    42. Ireland, Peter N., 1999. "Does the time-consistency problem explain the behavior of inflation in the United States?," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 279-291, October.
    43. Alan S. Blinder, 1999. "Central Banking in Theory and Practice," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262522608.
    44. 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(1), pages 111-144, February.
    45. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    46. Simon Hall & Chris Salmon & Tony Yates & Nicoletta Batini, 1999. "Uncertainty and Simple Monetary Policy Rules - An illustration for the United Kingdom," Bank of England working papers 96, Bank of England.
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    Cited by:

    1. Thomas Sargent & Noah Williams & Tao Zha, 2009. "The Conquest of South American Inflation," Journal of Political Economy, University of Chicago Press, vol. 117(2), pages 211-256, April.
    2. Keith Kuester & Volker Wieland, 2010. "Insurance Policies for Monetary Policy in the Euro Area," Journal of the European Economic Association, MIT Press, vol. 8(4), pages 872-912, June.
    3. Meixing Dai & Moïse Sidiropoulos, 2017. "How multiplicative uncertainty affects the tradeoff between information disclosure and stabilisation policy?," Working Papers of BETA 2017-15, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    4. Gonzalez F. & Rodriguez A. & Gonzalez-Garcia J.R., 2005. "Uncertainty about the Persistence of Periods with Large Price Shocks and the Optimal Reaction of the Monetary Authority," Computing in Economics and Finance 2005 402, Society for Computational Economics.
    5. André Marine Charlotte & Dai Meixing, 2018. "Learning, robust monetary policy and the merit of precaution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 18(2), pages 1-20, June.
    6. Ironside, Brian & Tetlow, Robert J., 2005. "Real-Time Model Uncertainty in the United States: the Fed from 1996-2003," CEPR Discussion Papers 5305, C.E.P.R. Discussion Papers.
    7. Tetlow, Robert J. & von zur Muehlen, Peter, 2009. "Robustifying learnability," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 296-316, February.
    8. Andrew T. Levin & Alexei Onatski & John Williams & Noah M. Williams, 2006. "Monetary Policy under Uncertainty in Micro-Founded Macroeconometric Models," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 229-312, National Bureau of Economic Research, Inc.
    9. Meixing DAI & Eleftherios SPYROMITROS, 2008. "Monetary policy, asset prices and model uncertainty," Working Papers of BETA 2008-15, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    10. David Kendrick & Hans Amman, 2006. "A Classification System for Economic Stochastic Control Models," Computational Economics, Springer;Society for Computational Economics, vol. 27(4), pages 453-481, June.
    11. 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.
    12. Martin Ellison & Liam Graham & Jouko Vilmunen, 2006. "Strong Contagion with Weak Spillovers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 263-283, April.
    13. Zampolli, Fabrizio, 2006. "Optimal monetary policy in a regime-switching economy: The response to abrupt shifts in exchange rate dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1527-1567.
    14. Fidel Gonzalez & Arnulfo Rodriguez, 2004. "Robust Control: A Note on the Response of the Control to Changes in the “Free” Parameter Conditional on the Character of Nature," Computational Economics, Springer;Society for Computational Economics, vol. 24(3), pages 223-238, March.
    15. Rodríguez Arnulfo & González Fidel & González García Jesús R., 2007. "Uncertainty about the Persistence of Cost-Push Shocks and the Optimal Reaction of the Monetary Authority," Working Papers 2007-05, Banco de México.
    16. Georges, Christophre, 2006. "Learning with misspecification in an artificial currency market," Journal of Economic Behavior & Organization, Elsevier, vol. 60(1), pages 70-84, May.
    17. Kendrick, David A., 2005. "Stochastic control for economic models: past, present and the paths ahead," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 3-30, January.
    18. repec:zbw:cfswop:wp200513 is not listed on IDEAS

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    Keywords

    Inflation (Finance); Econometric models;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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