money and capital abstract the effects of money anticipated inflation on capital formation is a classic issue in macroeconomics previous papers adopt reduced form approaches putting money in the utility function or imposing cash in advance but using otherwise frictionless models we follow instead a literature that tries to be explicit about the frictions making money essential this introduces new elements including a two sector structure with centralized and decentralized markets stochastic trading opportunities and bargaining these elements matter quantitatively and numerical results differ from findings in the reduced form literature the analysis also reduces a gap between microfounded monetary economics and mainstream macro

a model of debit card as a means of payment abstract this paper provides an explanation for both the rapid growth in the use of a debit card over time and the cross sectional difference in the use of a debit card using a search theoretic model the trade off between cash and a debit card as means of payment is incorporated such that a buyer incurs disutility cost proportional to the amount of cash holdings while a seller accepting a debit card bears a fixed record keeping cost regardless of transaction amount as record keeping cost decreases with the development of information technology over time disutility cost of cash holdings required for pairwise trade eventually exceeds record keeping cost so that all the agents with different wealth levels choose to use a debit card as a means of payment also disutility cost of cash holdings required for pairwise trade would be higher for the rich than for the poor implying the cross sectional feature of payment pattern that the rich use a debit card more frequently than the poor there are two distinct mechanisms that improve welfare as record keeping cost decreases one is to reduce deadweight loss from holding cash and the other is to reduce its distortionary effect on output produced in pairwise trade

anonymous markets and monetary trading abstract we study infinite horizon monetary economies characterized by trading frictions that originate from random pairwise meetings and commitment and enforcement limitations we prove that introducing occasional trade in centralized markets opens the door to an informal enforcement scheme that sustains a non monetary efficient allocation all is required is that trading partners be patient and their actions be observable we then present a matching environment in which trade may occur in large markets and yet agents trading paths cross at most once this allows the construction of models in which infinitely lived agents trade in competitive markets where money plays an essential role

a rudimentary random matching model with divisible money and prices abstract we consider a version of kiyotaki and wright s monetary search model in which agents can hold arbitrary amounts of divisible money a continuum of stationary equilibria indexed by the aggregate real money stock exists with all trading occurring at a single price there is always a maximum level of the real money stock consistent with existence of such an equilibrium in the limit as trading becomes faster relative to discounting any real money stock becomes feasible in such an equilibrium in contrast to the original kiyotaki wright model higher equilibrium real money stocks unambiguously correspond to higher welfare in this costless production environment journal of economic literature classification numbers d51 e40

a leviathan central bank modeling seigniorage in a money search model this paper studies the nature of optimal monetary policy under a utility maximizing monetary authority in a micro founded model of money based on lagos and wright 2005 such a monetary authority represents a monopoly private money supplier or situations where fiscal policy drives monetary policy and hence the name leviathan under no commitment i characterize an equilibrium with reputation concerns the centralized market interaction is modeled as an infinitely repeated game between the leviathan monetary authority a large player and the economic agents small players where the size of the players refers to the ability to influence aggregate outcomes this large small player dynamics pins down the equilibrium set of payoffs under the assumption that agents do not refuse to use money purely for coordination reasons the one shot game has a unique nash equilibrium with maximum inflation tax the set of equilibria is considerably enlarged in the infinite repetition of the game and equilibria with a lower inflation tax can also be supported by providing appropriate incentives to the money supplier

gift exchange versus monetary exchange theory and evidence abstract we study the lagos and wright 2005 model of monetary exchange in the laboratory with a finite population of sufficiently patient agents this model has a unique monetary equilibrium and a continuum of non monetary gift exchange equilibria some of which pareto dominate the monetary equilibrium we find that subjects avoid the gift exchange equilibria in favor of the monetary equilibrium we also study versions of the model without money where all equilibria involve non monetary gift exchange we find that welfare is higher in the model with money than without money suggesting that money plays a role as an efficiency enhancing coordination device jel c92 d12 e40 z13

the distribution of money balances and the nonneutrality of money recent monetary models with explicit microfoundations are made tractable by assuming that agents have access to centralized markets after one round of decentralized trade given quasi linear preferences this makes the distribution of money degenerate which keeps the models simple but precludes the discussion of distributional effects of monetary policy we generalize these models by assuming two rounds of trade before agents can readjust their money holdings to study a range of new distributional effects analytically we show that unexpected symmetric lump sum money injections may increase short run output and welfare whereas asymmetric injections may increase long run output and welfare

money unit of account and nominal rigidity abstract in order to characterize the properties required to fulfill the roles of money as a unit of account uoa as well as a medium of exchange moe we consider the choice of a uoa in the context of a micro founded model where inflation uncertainty exists and some conversion cost is incurred in using a uoa that is different from an moe we show that it is not the level of inflation but its volatility that matters for the choice of a uoa in the presence of inflation uncertainty money can still become both an moe and a uoa as long as the conversion cost is higher than its maximum buyers are willing to bear for ensuring stable consumption against inflation uncertainty also the choice of a uoa in the presence of fiat money as an moe determines endogenously the nominal price rigidity or flexibility an economy adopting money as a uoa yields the short run nominal rigidity and the phillips curve relationship

efficient monetary allocations and the illiquidity of bonds abstract we construct a monetary economy with heterogeneity in discounting and consumption risk agents can insure against this risk with money and nominal government bonds but all trades must be monetary we demonstrate that a deflationary policy a la friedman cannot sustain the constrained efficient allocation as no arbitrage imposes too stringent a bound on the return money can pay the constrained efficient allocation can be sustained when bonds have positive yields and under certain conditions only if they are illiquid illiquidity meaning that bonds cannot be transformed into consumption as easily as cash is necessary to eliminate arbitrage opportunities due to disparities in shadow interest rates

inflation tax in the lab a theoretical and experimental study of competitive search equilibrium with inflation in this paper we measure the effect of the inflation tax on economic activity and welfare within a controlled setting to do so we develop a model of price posting and monetary exchange with inflation and finite populations the model which provides a game theoretic foundation to rocheteau and wright 2005 s competitive search monetary equilibrium is used to derive theoretical propositions regarding the effects of inflation in this environment which we test with a laboratory experiment that closely implements the theoretical framework we find that the inflation tax is harmful with cash holdings production and welfare all falling as inflation rises and that its effect is relatively larger at low inflation rates than at higher rates for instance for inflation rates between 0 and 5 welfare in the two markets we consider 2 seller 2 buyer and 3 2 falls by roughly 1 percent for each percentage point rise in inflation compared with 0 4 percent over the range from 5 to 30 our findings lead us to conclude that the impact of the inflation tax should not be underestimated even under low inflation

a divisible search model of fiat money this paper extends the kiyotaki wright search model of fiat money to allow for divisible money and goods the extension allows me to examine the standard issues in monetary economics such as the neutrality and superneutrality of money by severing the artificial link in the kiyotaki wright model between the money supply and the number of money holders it is shown that money is neutral but not superneutral money growth generates a trading opportunity effect it changes the fraction of different agents in the economy and hence changes the probability with which agents have a successful match in addition money growth has a negative effect on the real money balance that is familiar in walrasian monetary models the balance of the two effects can imply a positive optimal money growth rate

social norms and money abstract in an economy where there is no double coincidence of wants and without public record keeping of past transactions money is usually seen as the only mechanism that can support exchange in this paper we show that as long as the population is finite and agents are sufficiently patient a social norm establishing gift exchange can substitute for money however for a given discount factor population growth eventually leads to the breakdown of the social norm additionally increases in the degree of specialization in the economy can also undermine the social norm by contrast monetary equilibrium exists independent of the population size we conclude that money is essential as a medium of exchange when the population is large

separation of unit of account from medium of exchange the separation of a unit of account uoa from a medium of exchange moe in the commodity money system is investigated by considering explicitly a seller s choice of uoa in terms of either an moe or a unit of metal weight if the likelihood of debasement of an moe and its rate are high enough the price is posted in terms of a unit of metal weight rather than an moe interestingly this moe uoa separated equilibrium yields the flexible nominal price whereas an moe uoa integrated equilibrium yields the sticky one this implies the nominal price rigidity in the fiat money system where moe and uoa are integrated

money and credit redux do we need both money and credit in models with explicit roles for payment instruments we show the answer is no if credit is easy money is useless if credit is tight money can be essential but then credit is irrelevant and changes in debt limits are neutral real balances respond endogenously to leave total liquidity constant this is true for exogenous or endogenous policy and debt limits secured or unsecured credit and fairly general preferences and pricing mechanisms while we also show how to overturn some results the benchmark model suggests credit conditions matter less than some people think

when are agents negligible the authors examine the following paradox in a dynamic setting equilibria can be radically different in a model with a finite number of agents than in a model with a continuum of agents they present a simple strategic setting in which this paradox is a general phenomenon however the paradox disappears when there is noisy observation of the players actions and the aggregate level of noise does not disappear too rapidly as the number of players increases the authors give several economic examples in which this paradox has recently received attention durable goods monopoly corporate takeovers and time consistency of optimal government policy copyright 1995 by american economic association

money in search equilibrium in competitive equilibrium and in competitive search equilibrium we compare three market structures for monetary economies bargaining search equilibrium price taking competitive equilibrium and price posting competitive search equilibrium we also extend work on the microfoundations of money by allowing a general matching technology and entry we study how equilibrium and the effects of policy depend on market structure under bargaining trade and entry are both inefficient and inflation implies first order welfare losses under price taking the friedman rule solves the first inefficiency but not the second and inflation may actually improve welfare under posting the friedman rule yields the first best and inflation implies second order welfare losses

on the multiplicity of monetary equilibria green zhou meets lagos wright abstract green and zhou relax the assumption made in early search based models of monetary exchange of indivisible money their paper and various extensions make much technical progress and derive some interesting substantive results in particular they show there is an indeterminacy of steady state monetary equilibria we reconsider this result in the framework of lagos and wright which is more tractable we show that a similar multiplicity arises and is much easier to derive and understand we also compare the results to those in related nonmonetary models and discuss how they depend on details including the number of agents and the timing

money and price dispersion we relax restrictions on the storage technology in a prototypical monetary search model to study price dispersion in this case buyers and sellers enter matches with potentially different willingness to trade across the distribution of possible bilateral matches prices generally will differ even though agents have identical preferences and technologies we provide existence conditions for a particularly simple equilibrium pattern of exchange we prove that in the limiting case where search frictions are eliminated equilibrium prices are uniform we also show that a higher initial money stock can raise the average price level and increase price dispersion

the essentiality of money in environments with centralized trade abstract lagos and wright 2005 introduced an influential model of monetary exchange in which trade alternates between centralized and decentralized markets and money is essential a limitation of their model and of the literature that follows is that they do not provide a microfoundation for the process of exchange in the centralized market in this paper we show that how one models exchange in the centralized market matters for the essentiality of money by describing the centralized market as a strategic market game and studying conditions under which money is essential

inflation and unemployment in general equilibrium when labor is indivisible there exist ecient outcomes with some agents randomly unemployed rogerson 1988 we integrate this idea into the modern theory of monetary exchange where some trade occurs in centralized markets and some in decentralized markets as in lagos and wright 2006 this delivers a general equilibrium model of unemployment and money with explicit microeconomic foundations we show the implied relation between inflation and unemployment can be positive or negative depending on simple preference conditions our phillips curve provides a long run exploitable trade o for monetary policy it turns out however that the optimal policy is the friedman rule

financial innovations money demand and the welfare cost of inflation in the 1990s the empirical relation between money demand and interest rates began to fall apart we analyze to what extent improved access to money markets can explain this break down for this purpose we construct a microfounded monetary model with a money market which provides insurance against liquidity shocks by offering short term loans and by paying interest on money market deposits we calibrate the model to u s data and find that improved access to money markets can explain the behavior of money demand very well furthermore we show that by allocating money more efficiently better access to money markets decrease the welfare cost of inflation substantially

dynamic monetary equilibrium in a random matching economy this article concerns an infinite horizon economy where trade must occur pairwise using a double auction mechanism and where fiat money overcomes lack of double coincidence of wants traders are anonymous and lack market power goods are divisible and perishable and are consumed at every date preferences are defined by utility stream overtaking money is divisible and not subject to inventory constraints the evolution of individual and economywide money holdings distributions is characterized there is a welfare ordered continuum of single price equilibria reflecting indeterminacy of the price level rather than of relative prices

a model of money and credit with application to the credit card debt puzzle many individuals simultaneously have significant credit card debt and money in the bank the credit card debt puzzle is given high interest rates on credit cards and low rates on bank accounts why not pay down the debt while economists have gone to elaborate lengths to explain this observation we argue it is a special case of the rate of return dominance puzzle from monetary economics we analyze the issue by extending standard monetary theory to incorporate consumer debt this seems interesting in its own right since developing models where money and credit coexist is a long standing challenge and it helps put into context recent discussions of consumer debt

cooperation among strangers under the shadow of the future we study the emergence of norms of cooperation in experimental economies populated by strangers interacting indefinitely can these economies achieve full efficiency even without formal enforcement institutions which institutions for monitoring and enforcement facilitate cooperation finally what classes of strategies do subjects employ we find that first cooperation can be sustained even in anonymous settings second some type of monitoring and punishment institutions significantly promote cooperation and third subjects mostly employ strategies that are selective in punishment

monetary equilibrium and the differentiability of the value function abstract in this study we offer a new approach to proving the differentiability of the value function which complements and extends the literature on dynamic programming this result is then applied to the analysis of equilibrium in the recent class of monetary economies developed in lagos r wright r 2005 a unified framework for monetary theory and policy analysis journal of political economy 113 463 484 for this type of environments we demonstrate that the value function is differentiable and this guarantees that the marginal value of money balances is well defined

degreasing the wheels of finance can there be too much trading in financial markets we construct a dynamic general equilibrium model where agents face idiosyncratic liquidity shocks a financial market allows agents to adjust their portfolio of liquid and illiquid assets in response to these shocks the optimal policy is to restrict access to this market because portfolio choices exhibit a pecuniary externality agents do not take into account that by holding more of the liquid asset they not only acquire additional insurance against these liquidity shocks but also marginally increase the value of the liquid asset which improves insurance for other market participants

financial sophistication and the distribution of the welfare cost of inflation abstract the welfare cost of anticipated inflation is quantified in a calibrated model of the u s economy that exhibits tractable equilibrium dispersion in wealth and earnings inflation does not generate large losses in societal welfare yet its impact varies noticeably across segments of society depending also on the financial sophistication of the economy if money is the only asset then inflation mostly hurts the wealthier and more productive agents while those poorer and less productive may even benefit from inflation the converse holds in a more sophisticated financial environment where agents can insure against consumption risk with assets other than money

the challenge of monetary theory departing from custom i want to address a problem that needs to be solved rather than one that has been solved i do not have much to contribute to its solution but i believe that the problem is important and want to focus attention on it in general terms the problem is to find appropriate conceptual foundations for monetary economics i believe that we do not as yet have a suitable theoretical framework for studying the functioning of a monetary system the main obstacle to the development of such a framework is our habit of thinking in terms of frictionless organized i e walrasian markets the problem is partly a problem of language the central concepts of economics demand supply and price are concepts that presuppose a system of centralized walrasian markets we are used to thinking in terms of these concepts and we tend to apply them rather automatically to the market for money frequently without realizing that the market for money must be a rather non walrasian market if indeed it can be called a market at all more or less all the models of monetary economics that are being used in practice proceed in this way using artifical adaptations of the walrasian centralized markets model to accommodate money without actually giving an account of what the role of money in the economy is the problem is one of pure economic theory however it bears on many important questions of applied economics and economic policy to study the relation between money income and prices we need a framework which gives a satisfactory account of the relation between the monetary system and the price mechanism to study the effects of central bank open market

on money as a medium of exchange we analyze economies in which individuals specialize in consumption and production and meet randomly over time in a way that implies that trade must be bilateral and quid pro quo nash equilibria in trading strategies are characterized certain goods emerge endogenously as media of exchange or commodity money depending both on their intrinsic properties and on extrinsic beliefs there are also equilibria with genuine fiat currency circulating as the general medium of exchange we find that equilibria are not generally pareto optimal and that introducing fiat currency into a commodity money economy may unambiguously improve welfare velocity acceptability and liquidity are discussed

capitalist development the labor process and the law1 this article critiques and extends michael burawoy s perspective on the political apparatuses of production by arguing that he fails to take into account the embeddedness of labor control within legal institutions through a synthesis with new institutionalism and sociolegal studies the author argues that production regimes using unfree labor are favorable for capitalist labor subordination given their particular historical embeddedness in legal institutions the other alternatives available for exploitation and capitalists social embeddedness in local institutions this is demonstrated through an analysis of how capitalists in the victorian english pottery industry used law as a foundation for the construction of a factory regime based in unfree labor

monetary policy in a channel system abstract channel systems for conducting monetary policy are becoming increasingly popular despite its popularity the consequences of implementing policy with a channel system are not well understood we develop a general equilibrium framework of a channel system and study the optimal policy a novel aspect of the channel system is that a central bank can tighten or loosen its policy without changing its policy rate this policy instrument has so far been overlooked by a large body of the literature on the optimal design of interest rate rules

to protect or not to protect modes of appropriability in the small enterprise sector abstract what appropriation strategies are chosen by innovative small firms a cluster analysis of data from the german cis was carried out to indentify four distinct modes of appropriability in the small enterprise sector the results show that for many innovative small firms the key question is not whether to use intellectual property rights iprs or not but whether to protect their innovations from imitation at all furthermore formal and informal innovation protection mechanisms should not be seen as mutually exclusive since several are employed jointly secrecy and lead time advantages over competitors are often combined with iprs yet a number of small firms use complexity of design as a substitute to patent protection the relevance of each appropriation mode depends on such factors as the degree of innovativeness the type of innovator and the general market environment which implies that the importance of iprs is limited to specific business contexts furthermore regarding firm performance as measured by innovation effects some evidence is found that choosing both ipr and non ipr oriented appropriation strategies can prove to be effective in achieving company goals taken all together the study implies that the use of iprs by innovative small firms is highly selective the paper concludes with a discussion of the implications for policy and research

a unified framework for monetary theory and policy analysis search theoretic models of monetary exchange are based on explicit descriptions of the frictions that make money essential however tractable versions of these models typically make strong assumptions that render them ill suited for monetary policy analysis we propose a new framework based on explicit micro foundations within which macro policy can be studied the framework is analytically tractable and easily quantifiable we calibrate the model to standard observations and use it to measure the cost of inflation we find that going from 10 percent to 0 percent inflation is worth between 3 and 5 percent of consumption much higher than previous estimates

inflation and unemployment in the long run we study the long run relation between money measured by inflation or interest rates and unemployment we first document in the data a positive relation between these variables at low frequencies we then develop a framework where unemployment and money are both modeled using microfoundations based on search and bargaining theory providing a unified theory for analyzing labor and goods markets the calibrated model shows that money can account for a sizable fraction of trends in unemployment we argue it matters qualitativelynand quantitatively whether one uses monetary theory based on search and bargaining or an alternative ad hoc specification

endogenous credit cycles this paper studies models of credit with limited commitment and therefore endogenous debt limits there are multiple stationary equilibria plus nonstationary equilibria in which credit conditions change simply because of beliefs there can be equilibria in which debt limits display deterministic cyclic or chaotic dynamics as well as stochastic sunspot equilibria in which they fluctuate randomly even though fundamentals are deterministic and time invariant examples and applications are discussed we also consider different mechanisms for determining the terms of trade and compare the setup to other credit models in the literature

playing with money abstract experimental work in monetary economics is usually based on theory that incorporates an infinite horizon yet hard constraints on laboratory sessions lead to finite times when the game must with probability 1 end and then simple backward induction implies monetary equilibria cannot exist hence these experiments cannot evaluate subjects ability to settle on the use of money as a medium of exchange that ameliorates trading frictions as an equilibrium outcome to address this we present some finite horizon games where monetary exchange is an equilibrium outcome and report some experimental results using these games

money is memory abstract this paper examines the sets of feasible allocations in a large class of economic environments in which commitment is impossible following myerson 8 the standard definition of feasibility is adapted to take account of the lack of commitment the environments feature either memory or money memory is defined as knowledge on the part of an agent of the full histories of all agents with whom he has had direct or indirect contact in the past money is defined as an object that does not enter utility or production functions and is available in fixed supply the main proposition is that any allocation that is feasible in an environment with money is also feasible in the same environment with memory depending on the environment the converse may or may not be true hence from a technological point of view money is equivalent to a primitive form of memory journal of economic literature classification numbers e40 c73 d82

keynesian inefficiency and optimal policy a new monetarist approach a simple model of monetary labor search is constructed to study keynesian indeterminacy and optimal policy in the model economic agents have trouble splitting the surplus from exchange appropriately and we consider monetary and fiscal policies that correct this keynesian inefficiency a taylor rule neither implies determinacy nor does it support an efficient outcome an optimal policy yields an efficient and determinate allocation of resources but equilibrium policy actions wages and prices are indeterminate at the optimum

liquidity a new monetarist perspective this essay surveys the new monetarist approach to liquidity work in this literature strives for empirical and policy relevance plus rigorous foundations questions include what is liquidity is money essential in achieving desirable outcomes which objects can or should serve in this capacity when can asset prices differ from fundamentals what are the functions of commitment and collateral in credit markets how does money interact with credit and intermediation what can and should monetary policy do the research summarized emphasizes the micro structure of frictional transactions and studies how institutions like monetary exchange credit arrangements or intermediation facilitate the exchange process