Expectational Stability of Stationary Sunspot Equilibria in a Forward-looking Linear Model
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Date
2002-01-14
Authors
Evans, George W., 1949-
Honkapohja, Seppo, 1951-
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oregon, Dept. of Economics
Abstract
We consider the stability under adaptive learning of the complete set of solutions to the model x_i=beta(Ei*)(x_i+1) when |beat| >1. In addition to the fundamentals solution, the literature describes both finite-state Markov sunspot solutions 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 representations used by agents in the learning process. Autoregressive forms of solutions are not learnable, but finite-state Markov sunspot solutions are stable under learning if beta < -1.
Description
Keywords
Indeterminacy, Representations of solutions, Learnability, Expectational stability, Endogenous fluctuations, Microeconomics