“…[24] examines the robust consumption and portfolio choice for time-varying investment opportunities. [25] discusses a continuous-time intertemporal consumption and portfolio choice problem under ambiguity, where expected 1 As the statement in [8], for a dynamic optimization problem, if the strategy πt 1 is optimal for the decision-maker at some time t 1 , and for any later time t 2 > t 1 , she will follow the strategy πt 1 if it is still optimal at time t 2 , i.e., πt 1 (t) = πt 2 (t) for all t > t 2 , then it is called a time-consistent strategy, see [5], [6], and so on. If a strategy is optimal at a time t 1 , while is not optimal at some later time t 2 , i.e., πt 1 (t) = πt 2 (t) for some t > t 2 , then πt 1 (t) is a time-inconsistent strategy.…”