Expectational Stability of Stationary Sunspot Equilibria in a Forward-looking Linear Model
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
|Date of creation:||14 Jan 2002|
|Date of revision:||14 Jan 2002|
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DELTA Working Papers
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THEMA Working Papers
2001-13, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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86-16, C.V. Starr Center for Applied Economics, New York University.
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