The theory of fiat money and private money as alternative media of exchange

A random-matching model with a clearinghouse is constructed to investigate the impact of private money on economic efficiency and social welfare in three monetary regimes. A subset of agents, called bankers, whose credit histories are recorded by the clearinghouse, are allowed to issue private banknotes in order to consume. Those private liabilities may serve as media of exchange, either by themselves, or alongside a stock of fiat money. Under certain conditions, welfare in a monetary steady state with private money is strictly higher than that attained in a steady state where private money is prohibited.     

Endogenous supply of fiat money

We consider whether reputation concerns can discipline the behavior of a long-lived self-interested agent who has a monopoly over the provision of fiat money. We obtain that when this agent can commit to a choice of money supply, there is a monetary equilibrium where it never overissues. We show, however, that monetary equilibria with no overissue do not exist when there is no commitment. This happens because the incentives this agent has to maintain a reputation for providing valuable currency disappear once its reputation is high enough. More generally, we prove that in the absence of commitment overissue happens infinitely often in any monetary equilibrium. We conclude by showing that imperfect memory can restore the positive result obtained with commitment.     

The tax-foundation theory of fiat money

Throughout modern history governments have tried to promote the general acceptance of their unbacked paper currencies. One of the most common devices has been legal tender laws that have assured the acceptance of these currencies as tax payments. Economic theory has largely ignored this mechanism, except for the static models of Starr (Econometrica 42:45?C54, 1974; Econ Theory 21:455?C474, 2003). I provide the first dynamic model of this mechanism, thus showing explicitly the medium of exchange role of money, accounting for expectations about the government??s survival, and enabling more realistic taxation systems. I show that a stable government can promote its currency by refusing to accept other objects in tax payments. While this mechanism has similarities to convertibility, it differs from it on a critical aspect: with this mechanism the government can often keep its favorite money in circulation even while increasing its quantity and thus causing it to decrease in value. This opens the door for a successful inflationary policy.     

Inside and outside fiat money, gains to trade, and IS-LM

Summary. We build a one-period general equilibrium model with money. Equilibrium exists, and fiat money has positive value, as long as the ratio of outside money to inside money is less than the gains to trade available at autarky. We show that the nominal effects of government fiscal and monetary policy can be completely described by a diagram identical in form to the IS-LM curves introduced by Hicks to describe Keynes' general theory. IS-LM analysis is thus not incompatible with full market clearing, multiple commodities, and heterogeneous households. We show that as the government deficit approaches a finite threshold, hyperinflation sets in (prices converge to infinity and real trade collapses). At the other extreme, if the government surplus is too large, the economy enters a liquidity trap in which nominal GNP sinks and monetary policy is ineffectual. Received: January 2, 2002; revised version: April 8, 2002 Correspondence to: P. Dubey     

Stationary solution to the overlapping generations model of fiat money: Experimental evidence

Overlapping generations model of fiat money yields an infinity of competitive equilibrium solutions, only one of which is stationary. Economies reported in this paper involved a sequence of overlapping generations of three or four individuals; each individual lived for two periods. In their young age individuals were endowed with chips that could be traded for fiat money wish the individuals of the old generation. In their old age, individuals could exchange their units o flat money for the consumption good. Results of the experiments exhibit some support for the stationary solution. The results are robust to two designs of exchange institutions (double oral auctior and supply schedule auction) and to two different endogenous ways of converting money into chips at the end of the game (average price prevailing during the last period the game is actually played and the average price forecast made during the last period the game is actually played).A preliminary version of this paper was presented at the meeting of the Economic Science Association and at the Federal Reserve Bank of Minneapolis. The authors are grateful for comments received from various participants at both presentations. Financial support was provided by the McKnight Foundation, the Honeywell Foundation, National Science Foundation (SES 89-12552), and Richard. M. and Margaret Cyert Family Funds.     

A note on asymmetric and mixed strategy equilibria in the search-theoretic model of fiat money

Summary. The simple search-theoretic model of fiat money has three symmetric Nash equilibria: all agents accept money with probability 1; all agents accept money with probability 0; and all agents accept money with probability y in (0,1). Here I construct an asymmetric pure strategy equilibrium, payoff-equivalent to the symmetric mixed strategy equilibrium, where a fraction N in (0,1) of agents always accept money and 1-N never accept money. Counter to what has been conjectured previously, I find N > y. I also introduce evolutionary dynamics, and show that the economy converges to monetary exchange iff the initial proportion of agents accepting money exceeds N. Received: September 10, 1997; revised version: April 24, 1998     

More on money as a medium of exchange

Summary We extend the analysis of Kiyotaki and Wright, who study economies where the commodities that serve as media of exchange (or, commodity money) are determined endogenously. Kiyotaki and Wright consider only steady-state, pure-strategy equilibria; here we allow dynamic and mixed-strategy equilibria. We demonstrate that symmetric, steady-state equilibria in mixed-strategies always exist, while sometimes no such equilibria exist in pure-strategies. We prove that the number of symmetric steady-state equilibria is generically finite. We also show, however, that for some parameter values there exists a continuum of dynamic equilibria. Further, some equilibria display cycles.We thank the National Science Foundation and the University of Pennsylvania Research Foundation for financial support, as well as seminar participants at Stanford University, the London School of Economics, the Econometric Society World Congress in Barcelona, and the Conference on Monetary Theory and Financial Institutions at the Federal Reserve Bank of Minneapolis for their comments or suggestions. Alberto Trejos provided research assistance. The views expressed here are those of the authors and not necessarily those of the Federal Reserve Bank of Minneapolis or the Federal Reserve System.     

Nominal uniqueness and money non-neutrality in the limit-price exchange process

We define continuous-time dynamics for exchange economies with fiat money. Traders have locally rational expectations, face a cash-in-advance constraint, and continuously adjust their short-run dominant strategy in a monetary strategic market game involving a double-auction with limit-price orders. Money has a positive value except on optimal rest-points where it becomes a ??veil?? and trade vanishes. Typically, there is a piecewise globally unique trade-and-price curve both in real and in nominal variables. Money is not neutral, either in the short-run or long-run and a localized version of the quantity theory of money holds in the short-run. An optimal money growth rate is derived, which enables monetary trade curves to converge towards Pareto optimal rest-points. Below this growth rate, the economy enters a (sub- optimal) liquidity trap where monetary policy is ineffective; above this threshold inflation rises. Finally, market liquidity, measured through the speed of real trades, can be linked to gains-to-trade, households?? expectations, and the quantity of circulating money.     

Efficient strategy-proof exchange and minimum consumption guarantees

For exchange economies with classical economic preferences, it is shown that any strategy-proof social choice function that selects Pareto optimal outcomes cannot guarantee everyone a consumption bundle bounded away from the origin. This result demonstrates that there is a fundamental conflict between efficiency and distributional goals in exchange economies if the social choice rule is required to be strategy-proof.     

Can ice cream be money?: Perishable medium of exchange

The aim of this paper is to demonstrate that a perishable good may be used as commodity money, even in economies in which perfectly durable commodities are available. This is shown in the general context of a search-theoretical model of a decentralized economy.     

Synthetic money

This paper provides a methodology for constructing synthetic money, which is defined as an optimal currency basket that mimics a single currency. Empirical evidence is provided by constructing a synthetic dollar from a currency basket comprised of six currencies that excludes the U.S. dollar. We believe that synthetic money has a number of practical applications, including currency pegging operations by nations, denomination of global bond issues by large firms and countries, and analyses of currency movements over time by interested parties.     

My money or yours: house money payment effects

This paper reports the results of an experiment designed to study how subjects’ decision making may be affected by the timing of participation payments (or show-up fees). The experiment follows Davis et al. (J. Econ. 30:69–95, 2004) where subjects were asked to make a sequential purchase decision and were given the opportunity to purchase information about the value of a good prior to a decision to purchase the good itself. There, subjects purchased information less often than expected which was interpreted as risk-seeking behavior. Here, we test a payment hypothesis by varying the timing of the participation payment. Payment of a show-up fee before the decision-making stages of the experiment increases information purchase, which we interpret as an increase in risk-averse behavior.     

The Mises-Hayek business cycle theory,fiat currencies and open economies

This paper extends the Mises-Hayek business cycle theory to open economies with fiat currencies. I explore: (1) the problem of domestic versus international monetary policy with fiat currencies in an international setting. (2) How the feedback effects between central banks in the context of an expansionary monetary contributes to extend and transmit a Mises-Hayek business cycle from big economies to small financially integrated economies. I find that a lengthening of the period of production is not the only effect produced on the capital structure, but also a misallocation of capital goods between the production of tradable and non-tradable goods and services and that business cycles can become more severe when there are open economies with fiat currencies.     

Optimal divisibility of money when money is costly to produce

There is wide agreement that currency was not available in conveniently small denominations prior to the 19th century. Here, estimates of the costs of providing and maintaining money (coins) in 15th century Europe and parameterized versions of a matching model of money are used to find the optimal degree of divisibility. Although the optima are sensitive to the specification of the matching model, the optimal sizes we find agree in order of magnitude with the sizes of the most common coins in 15th century Europe.     

Essential interest-bearing money

I examine optimal monetary policy in a Lagos and Wright [R. Lagos, R. Wright, A unified framework for monetary theory and policy analysis, J. Polit. Economy 113 (2005) 463-484] model where trade is centralized and all exchange is voluntary. I identify a class of incentive-feasible policies that improve welfare beyond what is achievable with zero intervention. Any policy in this class necessarily entails a non-negative inflation rate and a strictly positive nominal interest rate. Despite the absence of a lump-sum tax instrument, there exists an incentive-feasible policy that implements the first-best allocation.