Beauchêne, Li, and Li (2019) show that ambiguous persuasion leads to new interim
equilibria with higher ex ante value for the Sender compared to the standard Bayesian
persuasion. However, in their equilibrium the strategy of the Receiver is in general
not ex ante optimal. This note, de fines rectangular beliefs over the full state space
in the same setting as Beauchêne et al. (2019) and shows that given rectangular be-
liefs the Receiver behaves dynamically consistent. Hence, the interim equilibrium of
Beauchêne et al. (2019) is an ante equilibrium, as well.