# Efficiency of Bayesian Estimator

In the Wikipedia article for Minimum Mean Square Error

https://en.wikipedia.org/wiki/Minimum_mean_square_error

the Bayesian estimator is referred as Asymptotically Efficient using the similar arguments of Fisher information from frequentist statistics.

Does it even make sense to talk about the efficiency (or asymptotic unbiasedness) of a Bayesian estimator given a credible prior at hand?