  We study existence and uniqueness of continuous-time stochastic Radner
equilibria in an incomplete market model among a group of agents whose
preference is characterized by cash invariant time-consistent monetary
utilities. An assumption of "smallness" type is shown to be sufficient for
existence and uniqueness. In particular, this assumption encapsulates settings
with small endowments, small time-horizon, or a large population of weakly
heterogeneous agents. Central role in our analysis is played by a fully-coupled
nonlinear system of quadratic BSDEs.
