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Convergence of Adaptive Learning and the Concept of Expectational Stability in Linear Rational Expectations Models with Multiple Equilibria

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  • Heinemann, Maik

Abstract

This paper analyzes the relationship between the expectational stability of rational expectations equilibria and the possible convergence of adaptive learning processes. Results obtained using recursive least squares lead to the conjecture that a correspondence between these both selection criteria exists. This paper demonstrates on the basis of a simple linear model and an alternative learning procedure that such a conjecture would be incorrect: there exist learning procedures that may converge to rational expectations equilibria which are not expectationally stable.

Suggested Citation

  • Heinemann, Maik, 1997. "Convergence of Adaptive Learning and the Concept of Expectational Stability in Linear Rational Expectations Models with Multiple Equilibria," Hannover Economic Papers (HEP) dp-207, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    • Handle: RePEc:han:dpaper:dp-207
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    References listed on IDEAS

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    3. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
    4. Marcet, Albert & Sargent, Thomas J, 1988. "The Fate of Systems with "Adaptive" Expectations," American Economic Review, American Economic Association, vol. 78(2), pages 168-172, May.
    5. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
    6. George W. Evans & Seppo Honkapohja, 1992. "Adaptive Learning and Expectational Stability: An Introduction - (Now published as Ch.4 in 'Learning Rationality in Economics', A Kirman and M Salmon (eds), 1995, Basil Blackwell, Oxford), pp.102-126.," STICERD - Theoretical Economics Paper Series 248, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    7. Stephen J. DeCanio, 1979. "Rational Expectations and Learning from Experience," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(1), pages 47-57.
    8. Chung-Ming Kuan, 2006. "Artificial Neural Networks," IEAS Working Paper : academic research 06-A010, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    9. George Evans & Seppo Honkapohja, 1986. "A Complete Characterization of ARMA Solutions to Linear Rational Expectations Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 227-239.
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    11. George Evans, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(4), pages 1217-1233.
    12. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    13. Evans, George W & Honkapohja, Seppo, 1992. "On the Robustness of Bubbles in Linear RE Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(1), pages 1-14, February.
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    More about this item

    Keywords

    Multiple equilibria; Learning; Expectational stability;
    All these keywords.

    JEL classification:

    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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