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Learning with Bounded Memory in Stochastic Models

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Author Info
Kaushik Mitra () (University of Helsinki)
Seppo Honkapohja () (University of Helsinki)

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Abstract

There exists by now a sizeable literature that studies the dynamics of adaptive learning in stochastic macroeconomic models. A common starting point is to postulate that economic agents use standard econometric techniques to estimate the unknown parameters of the stochastic process of the relevant variables and forecast the future values using these estimated parameter values. A feature of learning is that, in the limit, agents are assumed to have access to an infinite amount of data. Our goal here, by contrast, is to analyze finite memory rules in stochastic economic models. We consider a wide variety of macroeconomic models, both linear and nonlinear, where agents are learning steady states. We study some basic issues here. Does the state of the economy have some invariant distribution in the long run? Is there convergence of the moments of the forecast? What is the influence of memory length on the residual variance of these forecasts? What can one say about these moments in nonlinear models? We provide answers to these questions for the models we analyze.

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 1999 with number 221.

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Date of creation: 01 Mar 1999
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Handle: RePEc:sce:scecf9:221

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Postal: CEF99, Boston College, Department of Economics, Chestnut Hill MA 02467 USA
Fax: +1-617-552-2308
Web page: http://fmwww.bc.edu/CEF99/
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  1. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
  2. George W. Evans & Seppo Honkapohja, 1993. "Adaptive forecasts, hysteresis, and endogenous fluctuations," Economic Review, Federal Reserve Bank of San Francisco, pages 3-13. [Downloadable!]
  3. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September. [Downloadable!] (restricted)
  4. Grandmont Jean-michel & Laroque G, 1990. "Economic dynamics with learning : some instability examples," CEPREMAP Working Papers (Couverture Orange) 9007, CEPREMAP.
  5. Evans, George W & Honkapohja, Seppo, 1995. "Local Convergence of Recursive Learning to Steady States and Cycles in Stochastic Nonlinear Models," Econometrica, Econometric Society, vol. 63(1), pages 195-206, January. [Downloadable!] (restricted)
  6. Evans George W. & Honkapohja Seppo, 1994. "On the Local Stability of Sunspot Equilibria under Adaptive Learning Rules," Journal of Economic Theory, Elsevier, vol. 64(1), pages 142-161, October. [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. Eva Carceles Poveda & Chryssi Giannitsarou, 2006. "Asset pricing with adaptive learning," Computing in Economics and Finance 2006 25, Society for Computational Economics. [Downloadable!]
    Other versions:
  2. Sharon Kozicki & P.A. Tinsley, 2003. "Permanent and Transitory Policy Shocks in an Empirical Macro Model with Asymmetric Information," CFS Working Paper Series 2003/41, Center for Financial Studies. [Downloadable!]
    Other versions:
  3. Evans, George W & Honkapohja, Seppo, 2008. "Expectations, Learning and Monetary Policy: An Overview of Recent Rersearch," CEPR Discussion Papers 6640, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  4. Orlando Gomes, 2008. "Adaptive Learning and Complex Dynamics," Working Papers ercwp2108, ISCTE, UNIDE, Economics Research Centre. [Downloadable!]
  5. Kaushik Mitra, 2004. "Is more data better?," Royal Holloway, University of London: Discussion Papers in Economics 04/19, Department of Economics, Royal Holloway University of London, revised Jul 2004. [Downloadable!]
    Other versions:
  6. 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:
  7. Orlando Gomes, . "Volatility, Heterogeneous Agents and Chaos," The Electronic Journal of Evolutionary Modeling and Economic Dynamics, IFReDE - Université Montesquieu Bordeaux IV. [Downloadable!]
    Other versions:
  8. Beechey, Meredith, 2004. "Excess Sensitivity and Volatility of Long Interest Rates: The Role of Limited Information in Bond Markets," Working Paper Series 173, Sveriges Riksbank (Central Bank of Sweden). [Downloadable!]
  9. Orlando Gomes, 2008. "Stability under Learning: the Endogenous Growth Problem," Working Papers ercwp1708, ISCTE, UNIDE, Economics Research Centre. [Downloadable!]
  10. Orlando Gomes & Vivaldo M. Mendes & Diana A. Mendes, 2007. "The Dynamics of Learning in Optimal Monetary Policy," Working Papers ercwp2008, ISCTE, UNIDE, Economics Research Centre. [Downloadable!]
  11. Verbic, Miroslav, 2006. "Memory and Asset Pricing Models with Heterogeneous Beliefs," MPRA Paper 1261, University Library of Munich, Germany. [Downloadable!]
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