Before revision:  To illustrate its use in financial optimisation problems, we analyse  dynamic portfolio optimisation problems under DSR, providing verification theorems for the optimal (equilibrium) strategies and the corresponding value functions in terms of associated (extended) HJB equations. In the case of a long-only investor we explicitly identify optimal portfolio allocation strategies .
After revision:  To illustrate its use in financial optimisation problems, we analyse dynamic portfolio optimisation problem under a DSR .