I study how the specific details of a micro founded monetary economy affect the determination of government policy. I consider three variants of the Lagos-Wright monetary framework: a benchmark were all markets are competitive; a case which allows for financial intermediaries; and a case with trading frictions. Although intitutions/frictions are shown to have a significant structural impact in the determination of policy, the calibrated artificial economies are observationally equivalent in steady state. The policy response to aggregate shocks is qualitatively similar in the variants considered. However, there are significant quantitative differences in the response of government policy to productivity shocks, mainly due to the idiosyncratic behavior of money demand. The variants with no trading frictions display the best fit to U.S. post-war data.