We study a class of forward looking economic models with heterogeneous agen
ts in a bounded rationality setting. The agents employ the same recursive l
earning rule to update beliefs but are characterized by different memory pa
rameters. The peculiarity of the learning mechanism is that the learning ra
te is not vanishing in the limit. Differently from what is obtained in the
case of a vanishing learning step, i.e., the stability conditions in the he
terogeneous agents case are those of the representative agent model, we sho
w that heterogeneity matters for the expectational stability of a stationar
y perfect foresight equilibrium and that the stability parameter restrictio
ns with heterogeneous agents are stronger than in the case of homogeneous a
gents. C62, D83, D84, E40.