Money and Price Dispersion

We relax restrictions on the storage technology in a prototypical monetary search model to study price dispersion. When multiple units of currency can be stored, buyers and sellers enter matches with potentially different willingness to buy or sell. Across the distribution of possible bilateral matches, prices will generally differ even though agents have identical preferences and technologies. We provide existence conditions for a particularly simple equilibrium pattern of exchange and prices. We prove that in the limiting case where search frictions are eliminated, equilibrium prices are uniform. We also prove that a higher initial money stock raises the average price level and increases price dispersion in certain regions of the parameter space. Numerical examples are also provided.