 Finally, we prove a policy improvement theorem (PIT) for the continuous-time MV problem under both entropy regularization and control relaxation. The PIT leads to an implementable RL algorithm for the continuous-time MV problem.
<clarity>  Finally, we prove a policy improvement theorem (PIT) for the continuous-time MV problem under both entropy regularization and control relaxation. The PIT leads to an implementable RL algorithm for the continuous-time MV problem.
 Finally, we prove a policy improvement theorem , based on which we devise an implementable RL algorithm for the continuous-time MV problem.