Adaptive learning in models with lagged variables

In this work I study the stability of the dynamics generated by adaptive learning processes in intertemporal economies with lagged variables. I prove that determinacy of the steady state is a necessary condition for the convergence of the learning dynamics and I show that the reciprocal is not true characterizing the economies where convergence holds. In the case of existence of cycles I show that there is not, in general, a relationship between determinacy and convergence of the learning process to the cycle. I also analyze the expectational stability of these equilibria.