This paper studies the properties of the Bayesian approach to estimation and comparison of dynamic equilibrium economies. Both tasks can be performed even if the models are nonnested, misspecified and nonlinear. First, we show that Bayesian methods have a classical interpretation: asymptotically the parameter point estimates converge to their pseudotrue values and the best model under the Kullback-Leibler distance will have the highest posterior probability. Second, we illustrate the strong small sample behavior of the approach using a well-known application: the U.S. cattle cycle. Bayesian estimates outperform Maximum Likelihood results and the proposed model is easily compared with a set of BVARs.