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AbstractThis paper studies different welfare-enhancing roles that fiat money can have. To do so, we consider an indivisible monetary framework where agents are randomly and bilaterally matched, while the government has weak enforcement powers. Within this environment, we analyze state contingent monetary policies and characterize the resulting equilibria under different government record-keeping technologies. We show that a threat of injecting fiat money, conditional on private actions, can improve allocations and achieve efficiency. This type of state contingent policy is effective even when the government cannot observe any private trades and agents can only communicate with the government through cheap talk. In all these equilibria fiat money and self-enforcing credit are complements in the off equilibrium. Finally, this type of equilibria can also emerge even when the injection of fiat money is not a public signal.

Abstract:We consider a frictional market where an element of the terms of trade (price or quantity) is posted ex-ante (before the matching process) while the other is determined ex-post. By doing so, sellers can exploit their local monopoly power by adjusting prices or quantities once the local demand is realized. We find that when sellers can adjust quantities ex-post, there exists a unique symmetric equilibrium where an increase in the buyer-seller ratio leads to higher quantities and prices. When buyers instead can choose quantities ex-post, a higher buyer-seller ratio leads to higher prices but lower traded quantities. These equilibrium allocations are generically constrained inefficient in both intensive and extensive margins. When sellers post ex-ante quantities and adjust prices ex-post, a symmetric equilibrium exists where buyers obtain no surplus from trade. This equilibrium allocation is not constrained efficient either. If buyers choose prices ex-post, there is no trade in equilibrium when entry is costly.