Conditions are given for the existence and uniqueness of equilibria in incomplete dynamic market models when agents have translation invariant preferences. This includes meanvariance type preferences and expected exponential utility. General results are provided in discrete time. Then a special case is discussed where equilibrium prices can be represented as solutions to a system of backward stochastic difference equations. In the continuoustime limit, a system of coupled backward stochastic differential equations with drivers of quadratic growth appears. Joint work with Ulrich Horst, Michael Kupper and Traian Pirvu.