We examine a certain nonlinear model. Markov SSEs exist near an indeterminate steady state. ... We show that there exist Markov SSEs, that are E-stable, and therefore locally stable under adaptive learning, ...

We consider the stability under adaptive learning of the complete set of solutions x1 = ßE1*x1+1 when /ß/1. In addition to the fundamentals solution, the literature describes both finite-state Markov sunspot solutions, satisfying a resonant frequency condition, and autoregressive solutions...