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E-STABILITY DOES NOT IMPLY LEARNABILITY

Published online by Cambridge University Press:  28 April 2005

CHRYSSI GIANNITSAROU
Affiliation:
University of Cambridge

Abstract

The concept of E-stability is widely used as a learnability criterion in studies of macroeconomic dynamics with adaptive learning. In this paper, it is demonstrated, via a counterexample, that E-stability generally does not imply learnability of rational expectations equilibria. The result indicates that E-stability may not be a robust device for equilibrium selection.

Type
NOTES
Copyright
© 2005 Cambridge University Press

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References

Barucci E. & L. Landi 1997 Least mean squares learning in self-referential linear stochastic models. Economics Letters 57, 313317.Google Scholar
DeCanio S. 1979 Rational expectations and learning from experience. Quarterly Journal of Economics 94, 4757.Google Scholar
Evans G.W. 1985 Expectational stability and the multiple equilibria problem in linear rational expectations models. Quarterly Journal of Economics 100, 12171233.Google Scholar
Evans G.W. & S. Honkapohja 2001 Learning and Expectations in Macroeconomics. Princeton, NJ: Princeton University Press.
Giannitsarou C. 2003 Heterogeneous learning. Review of Economic Dynamics 6, 885906.Google Scholar
Giannitsarou C. 2004 Supply-Side Reforms and Learning Dynamics. Mimeograph. Forthcoming.
Hansen G.D. 1985 Indivisible labor and the business cycle. Journal of Monetary Economics 16, 309327.Google Scholar
Heinemann M. 2000 Convergence of adaptive learning and expectational stability: The case of multiple rational-expectations equilibria. Macroeconomic Dynamics 4, 263288.Google Scholar
Marcet A. & T. Sargent 1989 Convergence of least squares mechanisms in self-referential linear stochastic models. Journal of Economic Theory 48, 337368.Google Scholar
McCallum B. 1983 On nonuniqueness in rational expectations models: An attempt at perspective. Journal of Monetary Economics 11, 139168.Google Scholar
McCallum B. 2002a Consistent Expectations, Rational Expectations, Multiple-Solution Indeterminacies, and Least-Squares Learnability. NBER working paper 9218.
McCallum B. 2002b The Unique Minimum State Variable RE Solution is E-Stable in All Well Formulated Linear Models. Mimeograph, Carnegie Mellon.
Schmitt-Grohé S. & M. Uribe 1997 Balanced-budget rules, distortionary taxes, and aggregate instability. Journal of Political Economy 105, 9761000.Google Scholar