At a Rational Expectations Equilibrium (REE), individuals are assumed
to know the map from states to prices. This hypothesis has two compone
nts, that agents agree (consensus) and that they have point expectatio
ns (degeneracy). We consider economies where agents' beliefs are descr
ibed by a joint distribution on states and prices, and these beliefs a
re fulfilled at equilibrium. Beliefs are self-fulfilling if every pric
e in the support of the distribution is an equilibrium price. The corr
esponding equilibria are Beliefs Equilibria (BE). The further restrict
ion that agents have the same beliefs results in Common Beliefs Equili
bria (CBE). We study the relationship between BE, CBE, and REE, thus i
solating the role of consensus and of degeneracy in achieving rational
expectations. (C) 1997 Academic Press.