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Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices

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Author Info
Klaus Adam () (Goethe University Frankfurt)

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Abstract

We study adaptive learning in a monetary overlapping generations model with sticky prices and monopolistic competition for the case where learning agents observe current endogenous variables. Observability of current variables is essential for informational consistency of the learning setup with the model set up but generates multiple temporary equilibria when prices are flexible and prevents a straightforward construction of the learning dynamics. Sticky prices overcome this problem by avoiding simultaneity between prices and price expectations. Adaptive learning then robustly selects the determinate (monetary) steady state independent from the degree of imperfect competition. The indeterminate (non-monetary) steady state and non-stationary equilibria are never stable. Stability in a deterministic version of the model may differ because perfect foresight equilibria can be the limit of restricted perceptions equilibria of the stochastic economy with vanishing noise and thereby inherit different stability properties. This discontinuity at the zero variance of shocks suggests to analyze learning in stochastic models.

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Publisher Info
Paper provided by Center for Financial Studies in its series CFS Working Paper Series with number 2003/03.

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Length: 42 pages
Date of creation: 03 Jan 2003
Date of revision:
Handle: RePEc:cfs:cfswop:wp200303

Note: Thanks go to Matthias Brückner, Marcel Jansen, Ramon Marimon, Tom Sargent, and particularly Seppo Honkapohja for helpful comments. Three anonymous referees and the editor of this journal have greatly helped me to improve the paper. The paper draws on chapter 3 of my Ph.D. thesis at the European University Institute in Florence, Italy. Errors are mine.
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Related research
Keywords: adaptive learning; sticky prices; temporary equilibrium;

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Find related papers by JEL classification:
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium

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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. James Bullard & Kaushik Mitra, 2002. "Learning about monetary policy rules," Working Papers 2000-001, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  2. Klaus Adam, 2002. "Adaptive Learning and Cyclical Behavior of Output and Inflation," Macroeconomics 0211013, EconWPA. [Downloadable!]
  3. Duffy John, 1994. "On Learning and the Nonuniqueness of Equilibrium in an Overlapping Generations Model with Fiat Money," Journal of Economic Theory, Elsevier, vol. 64(2), pages 541-553, December. [Downloadable!] (restricted)
  4. Arifovic, Jasmina, 1995. "Genetic algorithms and inflationary economies," Journal of Monetary Economics, Elsevier, vol. 36(1), pages 219-243, August. [Downloadable!] (restricted)
  5. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September. [Downloadable!] (restricted)
  6. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October. [Downloadable!] (restricted)
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  7. Marimon, Ramon & Sunder, Shyam, 1993. "Indeterminacy of Equilibria in a Hyperinflationary World: Experimental Evidence," Econometrica, Econometric Society, vol. 61(5), pages 1073-107, September. [Downloadable!] (restricted)
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  8. 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)
  9. Evans, George W. & Honkapohja, Seppo, 1994. "Convergence of least squares learning to a non-stationary equilibrium," Economics Letters, Elsevier, vol. 46(2), pages 131-136, October. [Downloadable!] (restricted)
  10. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June. [Downloadable!] (restricted)
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  11. Lettau, Martin & Van Zandt, Timothy, 2001. "Robustness of Adaptive Expectations as an Equilibrium Selection Device," CEPR Discussion Papers 2882, C.E.P.R. Discussion Papers. [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. Adam, Klaus, 2005. "Experimental Evidence on the Persistence of Output and Inflation," CEPR Discussion Papers 4885, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  2. Adam, Klaus & Marcet, Albert & Nicolini, Juan Pablo, 2007. "Stock Market Volatility and Learning," CEPR Discussion Papers 6518, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  3. Bennett T. McCallum, 2006. "E-Stability vis-a-vis Determinacy Results for a Broad Class of Linear Rational Expectations Models," NBER Working Papers 12441, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. Seonghoon Cho & Antonio Moreno, 2006. "Expectational Stability in Multivariate Models," Faculty Working Papers WP06/08, School of Economics and Business Administration, University of Navarra. [Downloadable!]
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  5. Klaus Adam & George W. Evans & Seppo Honkapohja, 2004. "Are Stationary Hyperinflation Paths Learnable?," CFS Working Paper Series 2004/15, Center for Financial Studies. [Downloadable!]
    Other versions:
  6. Klaus Adam & George W. Evans & Seppo Honkapohja, 2003. "Are Hyperinflationary Paths Learnable?," University of Oregon Economics Department Working Papers 2003-31, University of Oregon Economics Department, revised 22 Apr 2005. [Downloadable!]
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