Existence of arrow-debreu equilibrium with generalized stochastic differential utility

This paper establishes, in the setting of Brownian information, a general equilibrium existence result under a stochastic differential formulation of intertemporal recursive utility. The present class of utility functionals is generated by a backward stochastic differential equation and incorporates preference for the local risk of the stochastic utility process. The setting contains models in which Knightian uncertainty is repre- sented in the subjective and objective sense.