We construct a search-theoretic model where fiat money coexists with real assets, and all assets can be used as a media of exchange. The terms of trade in bilateral matches are determined by a pairwise Pareto-efficient pricing mechanism. We do not have to appeal to exogenous liquidity...

I apply mechanism design to quantify the cost of inflation that can be attributed to monetary frictions alone. In an environment with pairwise meetings, the money demand that is consistent with a constrained-efficient allocation takes the form of a continuous correspondence that can fit the data...