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

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  • Klaus Adam

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 setup 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 one should analyse learning in stochastic models. Copyright 2003, Wiley-Blackwell.

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  • Klaus Adam, 2003. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 887-907.
  • Handle: RePEc:oup:restud:v:70:y:2003:i:4:p:887-907
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    File URL: http://hdl.handle.net/10.1111/1467-937X.00271
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    Cited by:

    1. Klaus Adam & Albert Marcet & Juan Pablo Nicolini, 2016. "Stock Market Volatility and Learning," Journal of Finance, American Finance Association, vol. 71(1), pages 33-82, February.
    2. Klaus Adam & George W. Evans & Seppo Honkapoja, 2003. "Are Stationary Hyperinflation Paths Learnable?," CESifo Working Paper Series 936, CESifo.
    3. Mathieu Pedemonte & Hiroshi Toma & Esteban Verdugo, 2023. "Aggregate Implications of Heterogeneous Inflation Expectations: The Role of Individual Experience," Working Papers 23-04, Federal Reserve Bank of Cleveland.
    4. Mele, Antonio & Molnár, Krisztina & Santoro, Sergio, 2020. "On the perils of stabilizing prices when agents are learning," Journal of Monetary Economics, Elsevier, vol. 115(C), pages 339-353.
    5. Gadi Barlevy & Douglas Gale & Franklin Allen, 2017. "On Interest Rate Policy and Asset Bubbles," 2017 Meeting Papers 489, Society for Economic Dynamics.
    6. Adam, Klaus & Marcet, Albert, 2011. "Internal rationality, imperfect market knowledge and asset prices," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1224-1252, May.
    7. Cars Hommes & Domenico Massaro & Isabelle Salle, 2019. "Monetary And Fiscal Policy Design At The Zero Lower Bound: Evidence From The Lab," Economic Inquiry, Western Economic Association International, vol. 57(2), pages 1120-1140, April.
    8. Adam, Klaus & Evans, George W. & Honkapohja, Seppo, 2006. "Are hyperinflation paths learnable?," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2725-2748, December.
    9. Jordi Gal?, 2014. "Monetary Policy and Rational Asset Price Bubbles," American Economic Review, American Economic Association, vol. 104(3), pages 721-752, March.
    10. McCallum, Bennett T., 2007. "E-stability vis-a-vis determinacy results for a broad class of linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1376-1391, April.
    11. Ellison, Martin & Pearlman, Joseph, 2011. "Saddlepath learning," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1500-1519, July.
    12. Norbert Christopeit & Michael Massmann, 2013. "Estimating Structural Parameters in Regression Models with Adaptive Learning," Tinbergen Institute Discussion Papers 13-111/III, Tinbergen Institute.
    13. Klaus Adam, 2007. "Experimental Evidence on the Persistence of Output and Inflation," Economic Journal, Royal Economic Society, vol. 117(520), pages 603-636, April.
    14. Franklin Allen & Gadi Barlevy & Douglas Gale, 2022. "Asset Price Booms and Macroeconomic Policy: A Risk-Shifting Approach," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(2), pages 243-280, April.
    15. Pei Kuang, 2014. "Learning Dynamics with Data (Quasi-) Differencing," Discussion Papers 15-06, Department of Economics, University of Birmingham.
    16. Boone, Brecht & Quaghebeur, Ewoud, 2018. "Beyond rational expectations: The effects of heuristic switching in an Overlapping Generations model," Journal of Economic Behavior & Organization, Elsevier, vol. 155(C), pages 349-364.
    17. Franklin Allen & Gadi Barlevy & Douglas Gale, 2023. "A Comment on Monetary Policy and Rational Asset Price Bubbles," Working Paper Series WP 2023-25, Federal Reserve Bank of Chicago.
    18. Seonghoon Cho & Antonio Moreno, 2008. "Expectational Stability in Multivariate Models," Faculty Working Papers 06/08, School of Economics and Business Administration, University of Navarra.
    19. Cars Hommes & Kostas Mavromatis & Tolga Ozden & Mei Zhu, 2019. "Behavioral learning equilibria in the New Keynesian model," DNB Working Papers 654, Netherlands Central Bank, Research Department.
    20. Bruce McGough & Ryuichi Nakagawa, 2019. "Stability of Sunspot Equilibria under Adaptive Learning with Imperfect Information," Working Papers on Central Bank Communication 005, University of Tokyo, Graduate School of Economics.
    21. Hommes, C.H. & Zhu, M., 2016. "Behavioral Learning Equilibria, Persistence Amplification & Monetary Policy," CeNDEF Working Papers 16-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

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    More about this item

    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; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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