We consider a class of nonlinear dynamic economic models in which the
actual realizations of a certain variable (e.g., price) depend on the
agents' expectations about this variable. We define a consistent expec
tations equilibrium (CEE) by the property that the sample average and
the sample autocorrelations of the realizations of the actual law of m
otion equal the average and the autocorrelations of the perceived law
of motion. Along a CEE agent's expectations are thus self-fulfilling i
n terms of the observable sample average and sample autocorrelations.
Restricting ourselves to the case in which beliefs are described by an
AR(1) process, we study existence and stability of three different ty
pes of GEE: steady-state, two-cycle, and chaotic. We illustrate how th
ese equilibria can emerge in the nonlinear cobweb model. Learning dyna
mics based on sample average and sample autocorrelations are introduce
d and stability of CEE under this learning process is investigated.