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Optimal Monetary Policy Rules: The Problem of Stability Under Heterogeneous Learning

Author

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  • Anna Bogomolova
  • Dmitri Kolyuzhnov

Abstract

In this paper we extend the analysis of optimal monetary policy rules in terms of stability of an economy, started by Evans and Honkapohja (2003b), to the case of heterogeneous private agents learning. Following Giannitsarou (2003), we pose the question about the applicability of the representative agent hypothesis to learning. This hypothesis was widely used in learning literature at early stages to demonstrate convergence of an economic system under adaptive learning of agents to one of the rational expectations equilibria in the economy. We test these monetary policy rules in the general setup of the New Keynesian model that is a work horse of monetary policy models today. It is of interest to see that the results obtained by Evans and Honkapohja (2003b) for the homogeneous learning case are replicated for the case when the representative agent hypothesis is lifted.

Suggested Citation

  • Anna Bogomolova & Dmitri Kolyuzhnov, 2008. "Optimal Monetary Policy Rules: The Problem of Stability Under Heterogeneous Learning," CERGE-EI Working Papers wp379, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    • Handle: RePEc:cer:papers:wp379
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    References listed on IDEAS

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    1. Chryssi Giannitsarou, 2003. "Heterogeneous Learning," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 885-906, October.
    2. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    3. 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.
    4. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    5. Johnson, Charles R., 1974. "Sufficient conditions for D-stability," Journal of Economic Theory, Elsevier, vol. 9(1), pages 53-62, September.
    6. Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, April.
    7. Clarida, Richard & Gali, Jordi & Gertler, Mark, 2002. "A simple framework for international monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 49(5), pages 879-904, July.
    8. Honkapohja, Seppo & Mitra, Kaushik, 2005. "Performance of monetary policy with internal central bank forecasting," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 627-658, April.
    9. George W. Evans & Seppo Honkapohja & Noah Williams, 2010. "Generalized Stochastic Gradient Learning," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 237-262, February.
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    12. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
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    More about this item

    Keywords

    Monetary policy rules; new Keynesian model; adaptive learning; stability of equilibrium; heterogeneous agents.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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