The Scheinkman-Weiss model and later works by Conze-Lasry-Scheinkman p
rovide insights on cycles and correlations of economies with incomplet
e markets, namely with borrowing constraints. This work gives a mathem
atical solution in the case of high relative risk aversion, which has
not yet been solved. The existence of an equilibrium results from the
solution of a system of nonlinear functional differential equations. H
igh risk aversion leads to new mathematical difficulties, not present
in previous papers on this subject.