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

the distribution of money and prices in search equilibrium this article considers a search theoretic model of monetary exchange agents bargain over both the amount of money and the quantity of goods to be exchanged in bilateral meetings determining endogenously the distributions of money and of prices i show that money is neutral if changes in the money supply are accomplished via proportional transfers however within the class of lump sum transfers an increase of the rate of monetary expansion tends to decrease the dispersion of wealth and prices and to improve welfare when inflation is low but when inflation is high enough the opposite effects occur

on the existence of sunspot equilibria in an overlapping generations model abstract the existence of sunspot equilibria is shown in a one commodity overlapping generations model without stationarity assumptions on preferences endowments or nominal taxes the essential assumption is that there is a continuum of perfect foresight equilibria the technique is also useful for constructing stationary sunspot equilibria when they exist consumption in a sunspot equilibrium is shown to lie within the range consistent with perfect foresight

can currency competition work abstract can competition among privately issued fiat currencies work only sometimes and partially to show this we build a model of competition among privately issued fiat currencies a purely private arrangement fails to implement an efficient allocation even though it can deliver price stability under certain technological conditions although currency competition creates problems for monetary policy it is possible to design a policy rule that uniquely implements an efficient allocation

general equilibrium with nonconvexities and money in a general equilibrium economy with nonconvexities there are sunspot equilibria with good welfare properties sunspots can ameliorate the effects of the nonconvexities for these economies we show that agents act as if they have quasi linear utility functions we use this result to construct a new model of monetary exchange along the lines of lagos and wright where trade occurs in both centralized and decentralized markets but instead of quasi linear preferences we assume general preferences but with indivisible labor this suggests that modern monetary theory is more robust than one might have thought it also constitutes progress on the classic problem of integrating monetary economics and general equilibrium theory

a uniqueness proof for monetary steady state abstract the framework in lagos and wright 2005 20 combining decentralized and centralized markets is used extensively in monetary economics much is known about that model but there is a loose end only under special assumptions about bargaining power or decentralized market preferences has it been shown that the monetary steady state is unique for general decentralized market utility and bargaining i prove uniqueness for generic parameters with fiat money and for all parameters with commodity money as a corollary i get monotone comparative statics

heterogeneous beliefs and trading inefficiencies abstract heterogeneous beliefs are introduced into the monetary economy of lagos and wright 2005 and the implications for monetary equilibria are considered an endogenous fraction of agents hold rational expectations and the remaining agents employ an adaptive learning rule similar to evans and honkapohja 2001 and brock and hommes 1997 three primary results follow from the finding that heterogeneous beliefs can destabilize a stationary monetary equilibrium and lead to non linear dynamics bounded around the monetary steady state first heterogeneous beliefs can lead to equilibria that are welfare reducing due in part to a lower acceptance rate in decentralized meetings second when buyers who are uncertain about their beliefs behave like bayesians by placing a prior on sellers beliefs uncertainty impacts dynamic stability and welfare third the model s unique predictions provide an explanation of new findings about the acceptance rate in monetary laboratory experiments

the great capitol hill baby sitting co op anecdote or evidence for the optimum quantity of money this paper studies a centralized market with idiosyncratic uncertainty and money as a medium of exchange from a theoretical as well as an experimental perspective in our model prices are fixed and markets are cleared by rationing we prove the existence of stationary monetary equilibria and of an optimum quantity of money the rational solution of our model which is based on the assumption of individual rationality and rational expectations is compared with actual behavior in a laboratory experiment the theoretical results are strongly supported by this experiment

a tractable monetary model under general preferences this article studies an economy with both centralized and decentralized monetary exchanges under search frictions a degenerate asset distribution is featured under a broad class of preferences including for example constant return to scale constant elasticity of substitution cara and others from a range of macroeconomic literatures some novel applications impossible under quasi linear preferences for example endogenous growth are illustrated under this class of preferences this article finds that the welfare cost and growth loss of inflation can be much higher in these applications than previous estimates

inflation output and welfare this paper studies the effects of anticipated inflation on aggregate output and welfare within a search theoretic framework we allow money holders to choose the intensities with which they search for trading partners so inflation affects the frequency of trade as well as the quantity of output produced in each trade we consider the standard pricing mechanism for search models i e ex post bargaining as well as a notion of competitive pricing if prices are bargained over the equilibrium is generically inefficient and an increase in inflation reduces buyers search intensities output and welfare if prices are posted and buyers can direct their search search intensities are increasing with inflation for low inflation rates and decreasing for high inflation rates the friedman rule achieves the first best allocation and inflation always reduces welfare even though it can have a positive effect on output for low inflation rates

search bargaining money and prices the goal of this paper is to extend existing search theoretic models of fiat money which until now have assumed that the price level is exogenous by explicitly incorporating bilateral bargaining this allows us to determine the price level endogenously and leads to additional insights concerning the role of money for example we find that monetary equilibria are generally inefficient in the sense that output and prices differ from the solution to a social planner s problem although the difference can become small as the discount rate or search friction vanishes we also find that there exist nonstationary inflationary equilibria

money and collateral this paper presents a model in which money and collateral are both essential and complement each other as media of exchange the model has implications for asset prices output in ation and monetary policy both in steady state and

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

whither monetary economics i argue that monetary economics should be pursued by applying implementation theory to models which contain explicit frictions that make money essential the argument has two parts first i argue that models in which real balances are assumed to be productive models with money in utility or production functions or with cash in advance constraints contain hidden inconsistencies second i argue that the approach advocated is capable of providing new insights about some of the main issues in monetary economics the effects of monetary shocks the welfare cost of inflation and the roles of inside and outside money

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

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

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

liquidity and asset market dynamics this study analyzes economies with an essential role for liquid assets in the exchange process the model can generate multiple stationary equilibria across which asset prices market participation capitalization output and welfare are positively related it can also generate a variety of nonstationary equilibria even when fundamentals are deterministic and time invariant including periodic chaotic and stochastic sunspot equilibria with recurrent market crashes some equilibria have asset price trajectories that resemble bubbles growing and bursting endogenous private and public liquidity is also introduced sometimes it is efficient to provide enough liquid assets to satiate demand other times it is not

an experimental study on the incentives of the probabilistic serial mechanism we report an experiment on the probabilistic serial ps mechanism for allocating indivisible goods the ps mechanism a recently discovered alternative to the widely used random serial dictatorship mechanism has attractive fairness and efficiency properties if people report their preferences truthfully however the mechanism is not strategy proof so participants may not truthfully report their preferences we investigate misreporting in a set of simple applications of the ps mechanism we confront subjects with situations in which the theory suggests that there is an incentive or no incentive to misreport we find little misreporting in situations where misreporting is a nash equilibrium however we also find a significant degree of misreporting in situations where there is actually no benefit to doing so these findings suggest that the ps mechanism may have problems in terms of truthful elicitation

some results on the optimality and implementation of the friedman rule in the search theory of money abstract i characterize a large family of monetary policies that implement milton friedman s prescription of zero nominal interest rates in a monetary search economy with multiple assets and aggregate uncertainty this family of optimal policies is defined by two properties i the money supply must be arbitrarily close to zero for an infinite number of dates and ii asymptotically on average over the dates when fiat money plays an essential role the growth rate of the money supply must be at least as large as the rate of time preference

asset prices liquidity and monetary policy in an exchange economy i formulate a model in which money coexists with equity shares on a risky aggregate endowment agents can use equity as a means of payment so shocks to equity prices translate into aggregate liquidity shocks that disrupt the mechanism of exchange i characterize a family of optimal monetary policies and find that the resulting equity prices are independent of monetary considerations i also study a perturbation of the family of optimal policies that targets a positive constant nominal interest rate and find that in this case the real equity return includes a liquidity return that depends on monetary considerations

collateral fluctuations in a monetary economy this paper studies economy wide fluctuations that occur endogenously in the presence of monetary and real assets using a standard monetary search model we consider an economy in which agents can increase consumption over and above what their liquid monetary asset holdings would allow pledging real assets as collateral for monetary loans it is shown that if the liquidation value of real assets is below full market value a stable cyclical equilibrium can emerge in consumption and capital around the unstable steady state we also provide conditions for the existence of cycles of higher order chaos and sunspot equilibria

liquidity premiums on government debt and the fiscal theory of the price level we construct a dynamic general equilibrium model where agents use nominal government bonds as collateral in secured lending arrangements if the collateral constraint binds agents price in a liquidity premium on bonds that lowers the real rate on bonds in equilibrium the price level is determined according to the fiscal theory of the price level however the market value of government debt exceeds its fundamental value we then examine the dynamic properties of the model and show that the market value of the government debt can fluctuate even though there are no changes to current or future taxes or spending the price dynamics are driven solely by the liquidity premium on the debt

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

rational expectations business cycles in search equilibrium we examine the rational expectations equilibrium paths of the model of search and barter in diamond s aggregate demand management in search equilibrium for some initial positions there are two equilibrium paths converging to different steady states with the high activity path pareto dominating the low activity path with some parameters there is also a continuum of equilibrium paths converging to another steady state moreover there can be cycles that are equilibrium paths even though the environment is stationary

extraction costs and the economics of nonrenewable resources the study questions the fundamental assumption of the standard aggregate exploration extraction model of nonrenewable resources that extraction costs and the level of reserves are inversely related it also raises questions about the model s conclusions regarding exploration incentives and the valuation of reserves an empirically tested disaggregate model is presented that suggests that exploration activity occurs from firms attempting to balance marginal extraction plus user costs at the intensive and extensive margins exploration is carried out until the marginal discovery cost of a deposit equals its present asset value and a u shaped price path is indicated

a contribution to the pure theory of money abstract this article analyzes a general equilibrium model with search frictions and differentiated commodities because of the many differentiated commodities barter is difficult in that it requires a double coincidence of wants and this provides a medium of exchange role for fiat currency we prove the existence of equilibrium with valued fiat money and show it is robust to certain changes in the environment rate of return dominance liquidity and the welfare implications of fiat money are discussed

money and prices a model of search and bargaining abstract this paper makes commodities divisible and incorporates bargaining into the search theoretic model of money to determine the purchasing power of money or price it is shown that two monetary equilibria always coexist where fiat money is universally accepted the two equilibria differ in price output welfare and the velocity of money sunspot monetary equilibria exist in which money is universally accepted in all states of the economy multiplicity has novel implications on the effectiveness of currency substitution and exchange market intervention journal of economic literature classification numbers c78 e40

dynamics cycles and sunspot equilibria in genuinely dynamic fundamentally disaggregative models of money abstract this paper pursues a line of cass and shell who advocate monetary models that are genuinely dynamic and fundamentally disaggregative and incorporate diversity among households and variety among commodities recent search theoretic models fit this description we show that like overlapping generations models search models generate interesting dynamic equilibria including cycles chaos and sunspot equilibria this helps us understand how alternative models are related and lends support to the notion that endogenous dynamics and uncertainty matter perhaps especially in monetary economies we also suggest such equilibria in search models may be more empirically relevant than in some other models

government transaction policy media of exchange and prices abstract we study government transaction policies in search theoretic models of money we model government as a subset of agents who are subject to the same random matching technology and other constraints as private agents but who behave in an exogenous way regarding which objects they accept in trade and at what price the objective is to see how these policies affect private agents strategies and hence the set of equilibria we analyze how the effects depend on factors like the size of government the intrinsic properties of money and the availability and efficacy of substitutes like barter or foreign currency journal of economic literature classification numbers c78 e31 e42

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

indeterminacy in credit economies abstract we characterize the equilibrium set of a two good pure credit economy with limited commitment under both pairwise and centralized meetings we show that the set of equilibria derived under not too tight solvency constraints alvarez and jermann 2000 commonly used in the literature is of measure zero in the whole set of perfect bayesian equilibria there exist a continuum of stationary equilibria a continuum of endogenous credit cycles of any periodicity and a continuum of sunspot equilibria irrespective of the assumed trading mechanism equilibria featuring too tight solvency constraints can generate growing credit limits over time periodic credit shutdowns and heterogeneous debt limits across ex ante identical borrowers moreover we provide examples of credit cycles that dominate from a social welfare point of view all equilibria with not too tight solvency constraints

money search and business cycles monetary models that specify explicit frictions to generate money demand have been developed over the last 20 years and have been used to address many questions in this article i investigate the short run properties of a particular model considering a number of versions based on some modeling choices all versions feature flexible prices i find that in many aspects both real and nominal the model resembles other more reduced form models some variations of the model come closer to matching some key nominal facts than a reduced form model the model also generates counter cyclical markups in line with the data

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

two monetary models with alternating markets we examine two monetary models with periodic interactions in centralized and decentralized markets the cash in advance model and the model in lagos and wright 2005 given conformity of preferences technologies and shocks both models reduce to a single difference equation in stationary equilibrium such equations coincide when the price distortion present in one model due to nash bargaining is replicated in the other using a tax on cash revenues in that case the quantitative implications for the welfare cost of inflation in each model are also comparable differences in the model s performance reduce to differences in the pricing mechanism assumed to govern those transactions that must be settled with the exchange of cash

multiplicity of monetary steady states abstract we investigate a monetary model in which the centralized market opens once but the decentralized markets open twice in each period we show that there may be multiple stationary equilibria

search money and capital a neoclassical dichotomy recent work has reduced the gap between search based monetary theory and mainstream macroeconomics by incorporating into the search model some centralized markets as well as some decentralized markets where money is essential this paper takes a further step toward this integration by introducing labor capital and neoclassical firms the resulting framework nests a search theoretic monetary model and a standard neoclassical growth model as special cases perhaps surprisingly it also exhibits a dichotomy one can determine the equilibrium path for the value of money independent of the paths of consumption investment and employment in the centralized market

a dynamic equilibrium model of search bargaining and money abstract this paper considers dynamic equilibria in a model with random matching strategic bargaining and money equilibrium in the bargaining game is characterized in terms of a simple differential equation when we embed this characterization into the monetary economy the model can generate outcomes such as limit cycles that never arise if one imposes a myopic nash bargaining solution as has been done in the past journal of economic literature classification numbers c78 d83 e31

a note on sunspot equilibria in search models of fiat money abstract search models can generate an endogenous role for fiat money in the sense that there exist equilibria where intrisically useless unbacked paper currency is valued due to its function as a medium of exchange in this note i ask if there exist sunspot equilibria in these models where the value or acceptability of money fluctuates along with extrinsic random events even though the fundamentals of the economy are deterministic and time invariant the answer is yes journal of economic literature classification numbers c70 e40