Expectational Stability of Resonant Frequency Sunspot Equilibria

15 Pages Posted: 1 Aug 2001

See all articles by George W. Evans

George W. Evans

University of Oregon - Department of Economics; University of St. Andrews - School of Economics and Finance

Seppo Honkapohja

Centre for Economic Policy Research (CEPR); Aalto University School of Business; CESifo (Center for Economic Studies and Ifo Institute for Economic Research); Aalto University - School of Business

Date Written: June 2001

Abstract

We consider the stability under adaptive learning of the complete set of solutions to the basic linear forward looking model in which the current value of the state variable depends linearly on the (subjectively) expected value of the state next period and the coefficient of the expected state is bigger than one in absolute value. In addition to the fundamentals solution, the literature describes both finite-state Markov sunspot solutions, satisfying a resonant frequency condition, and autoregressive solutions depending on an arbitrary martingale difference sequence. We clarify the relationships between these solutions and show that the stability properties of equilibria may depend crucially on the representation used by agents in the learning process. Only the finite-state Markov sunspot solutions can be stable under learning.

Keywords: Indeterminacy, Representations of Solutions, Learnability, Expectational Stability, Endogenous Fluctuations

JEL Classification: C62, D83 D84, E31, E32

Suggested Citation

Evans, George W. and Honkapohja, Seppo and Honkapohja, Seppo, Expectational Stability of Resonant Frequency Sunspot Equilibria (June 2001). Available at SSRN: https://ssrn.com/abstract=277271 or http://dx.doi.org/10.2139/ssrn.277271

George W. Evans

University of Oregon - Department of Economics ( email )

1285 University of Oregon
Eugene, OR 97403
United States
541-346-4662 (Phone)
541-346-1243 (Fax)

University of St. Andrews - School of Economics and Finance ( email )

The Scores, Castlecliff
St. Andrews, Fife KY16 8RD
United Kingdom
44-1334-462435 (Phone)

HOME PAGE: http://www.st-andrews.ac.uk/economics/staff/pages.g.evans.shtml

Seppo Honkapohja (Contact Author)

Centre for Economic Policy Research (CEPR)

London
United Kingdom

Aalto University School of Business ( email )

, PO Box 21210
Aalto FI-00076
Finland

CESifo (Center for Economic Studies and Ifo Institute for Economic Research)

Poschinger Str. 5
Munich, DE-81679
Germany

HOME PAGE: http://www.CESifo.de

Aalto University - School of Business

Finland

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