Mean-Field Delayed BSDEs with Jumps

Abstract

We establish sufficient conditions for the existence and uniqueness of mean-field backward stochastic differential equations with time delayed generator in the sense that at t, the generator may depend on previous values up to a delay constant {\delta} not on the hole past as in Delong and Imkeller [10], [13]. For sufficiently small delay constant {\delta} and for any finite time horizon, we get a unique solution.