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Impacts of priors on convergence and escapes from Nash inflation

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Author Info
Thomas J. Sargent
Noah Williams

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Abstract

Recent papers have analyzed how adaptive agents may converge to and escape from self-confirming equilibria. All of these papers have imputed to agents a particular prior about drifting coefficients. In the context of a model of monetary policy, this paper analyzes dynamics that govern both convergence and escape under a more general class of priors for the government. The authors characterize how the shape of the prior influences the dynamics in important ways. There are priors for which the E-stability condition is not enough to assure local convergence to a self-confirming equilibrium. Their analysis also tracks down the source of differences in the sustainability of Ramsey inflation encountered in the analyses of Sims (1988) and Chung (1990), on the one hand, and Cho, Williams, and Sargent (2002), on the other.

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Paper provided by Federal Reserve Bank of Atlanta in its series Working Paper with number 2003-14.

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Date of creation: 2003
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Handle: RePEc:fip:fedawp:2003-14

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Keywords: Equilibrium (Economics) ; Monetary policy ; Inflation (Finance) ; Macroeconomics;

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References listed on IDEAS
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. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May. [Downloadable!] (restricted)
  2. Christopher A. Sims & Tao Zha, 2004. "Were there regime switches in U.S. monetary policy?," Working Paper 2004-14, Federal Reserve Bank of Atlanta. [Downloadable!]
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  3. Timothy Cogley & Thomas Sargent, . "Drifts and Volatilities: Monetary Policies and Outcomes in the Post WWII US," Working Papers 2133503, Department of Economics, W. P. Carey School of Business, Arizona State University. [Downloadable!]
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  4. Seppo Honkapohja & Kaushik Mitra, 2006. "Learning Stability in Economies with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 284-309, April. [Downloadable!] (restricted)
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  5. Thomas Sargent & Noah Williams & Tao Zha, 2006. "The Conquest of South American Inflation," NBER Working Papers 12606, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December. [Downloadable!] (restricted)
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  7. 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. [Downloadable!] (restricted)
  8. Cho, In-Koo & Williams, Noah & Sargent, Thomas J, 2002. "Escaping Nash Inflation," Review of Economic Studies, Blackwell Publishing, vol. 69(1), pages 1-40, January.
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  9. 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 473-91, June. [Downloadable!] (restricted)
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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. Thomas Sargent & Noah Williams & Tao Zha, 2006. "The conquest of South American inflation," Working Paper 2006-20, Federal Reserve Bank of Atlanta. [Downloadable!]
    Other versions:
  2. J. Huston McCulloch, 2005. "The Kalman Foundations of Adaptive Least Squares: Applications to Unemployment and Inflation," Computing in Economics and Finance 2005 239, Society for Computational Economics. [Downloadable!]
  3. Kevin X.D. Huang & Zheng Liu & Tao Zha, 2008. "Learning, adaptive expectations, and technology shocks," Working Paper 2008-20, Federal Reserve Bank of Atlanta. [Downloadable!]
    Other versions:
  4. Thomas Sargent & Noah Williams & Tao Zha, 2004. "Shocks and government beliefs: the rise and fall of American inflation," Working Paper 2004-22, Federal Reserve Bank of Atlanta. [Downloadable!]
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  5. Carboni, Giacomo & Ellison, Martin, 2007. "Learning and the Great Inflation," CEPR Discussion Papers 6250, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  6. Ellis W. Tallman, 2003. "Monetary policy and learning: Some implications for policy and research," Economic Review, Federal Reserve Bank of Atlanta, issue Q3, pages 1-9. [Downloadable!]
  7. Luca Benati, . "UK monetary regimes and macroeconomic stylised facts," Bank of England working papers 290, Bank of England. [Downloadable!]
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  8. Timothy Cogley & Thomas J. Sargent, 2005. "The conquest of US inflation: Learning and robustness to model uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 528-563, April. [Downloadable!] (restricted)
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  9. 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. [Downloadable!] (restricted)
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  10. Stefano Eusepi, 2004. "Does Central Bank Transparency Matter for Economic Stability," Computing in Economics and Finance 2004 176, Society for Computational Economics. [Downloadable!]
  11. Lars E.O. Svensson, 2003. "Monetary policy and learning," Economic Review, Federal Reserve Bank of Atlanta, issue Q3, pages 11-16. [Downloadable!]
  12. Seppo Honkapohja & Kaushik Mitra, 2006. "Learning Stability in Economies with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 284-309, April. [Downloadable!] (restricted)
    Other versions:
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