Before revision:  We further obtain quasi-Bayes decision rules as the limit of sequences in this class, and derive weighted average power-optimal identification-robust frequentist tests . Finally, we prove a Bernstein-von Mises-type result for the quasi-Bayes posterior under weak and partial identification.
After revision:  We further obtain quasi-Bayes decision rules as the limit of sequences in this class, and derive weighted average power-optimal identification-robust frequentist tests and confidence sets, and prove a Bernstein-von Mises-type result for the quasi-Bayes posterior under weak and partial identification.