directed matching and monetary exchange we develop a model of monetary exchange where as in the random matching literature agents trade bilaterally and not through centralized markets rather than assuming they match exogenously and at random however we determine who meets whom as part of the equilibrium we show how to formalize this process of directed matching in dynamic models with double coincidence problems and present several examples and applications that illustrate how the approach can be used in monetary theory some of our results are similar to those in the random matching literature others differ significantly

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

output prices and the velocity of money in search equilibrium a monetary search model with match specific preferences and traded quantities is analyzed to assess how aggregate output the price level and the velocity of money are affected by various forms of technological change changes in the productive technology lead to output and prices moving in opposite directions but provide no prediction for monetary velocity the matching technology directly affects monetary velocity and output but has little impact on prices transactions technologies which affect the fixed cost of trading are ambiguous with respect to comovements of output and prices but systematically impact velocity

wealth as a signal in the search model of money this article investigates the possibility that wealth holdings of money serves as a signal of the ability to produce high quality products for agents who cannot directly observe the quality of the products a producer s wealth may advertise past success in selling products to agents who knew the producer s ability and thus signal its ability this analysis shows that such signaling effects may arise in equilibrium and may lead to more unequal distributions of wealth and lower welfare than would otherwise arise

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

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 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

the two pillars of the european central bank i interpret the european central bank s two pillar strategy by proposing an empirical model for inflation that distinguishes between the short and long run components of inflation the latter component depends on an exponentially weighted moving average of past monetary growth and the former on the output gap estimates for the 1971 2003 period suggest that money can be combined with other indicators to form the broadly based assessment of the outlook for future price developments that constitutes the ecb s second pillar however the analysis does not suggest that money should be treated differently from other indicators while money is a useful policy indicator all relevant indicators should be assessed in an integrated manner and a separate pillar focused on monetary aggregates does not appear necessary stefan gerlach

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

dollarization and currency exchange abstract we use a dual currency money search model to study dollarization agents hold portfolios consisting of two currencies one of which is risky we use numerical methods to solve for the steady state distributions of currency portfolios transaction patterns and value functions as risk increases agents increasingly use the safe currency as a medium of exchange dollarization occurs furthermore the safe currency trades for multiple units of the risky currency this type of currency exchange and the corresponding nominal exchange rate are often observed in black market or unofficial currency exchange markets in developing countries due to decentralized trading a distribution of exchange rates arises whose mean and variance change in predictable ways when currency risk increases

equilibrium using credit or money with indivisible goods this note studies the trade of indivisible goods using credit or money in a frictional market we show how indivisibility matters for monetary equilibrium under different assumptions about price determination bargaining generates a price and allocation that are independent of the nominal interest or inflation rate over some range this is not the case with price posting and directed search in either case we provide conditions the nominal rate cannot be too high under which stationary monetary equilibrium exists and we show it is unique or generically unique

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

existence of a monetary steady state in a matching model indivisible money abstract existence of a monetary steady state is established for a random matching model with divisible goods indivisible money an arbitrary bound on individual money holdings and take it or leave it offers by consumers the background environment is that in papers by shi and by trejos and wright the monetary steady state shown to exist has nice properties the value function defined on money holdings is strictly increasing and strictly concave and the measure over money holdings has full support

when demand creates its own supply saving traps the mechanism by which aggregate supply creates the income that generates its matching demand called say s law may not work in a general equilibrium with decentralized markets and savings in bonds or money full employment is an equilibrium but convergence to that state is slow a self fullling precautionary motive

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

wealth distribution inflation tax and societal benefits of illiquid bonds illiquid nominal government bonds are shown to have two opposing effects on welfare first the relatively poor choose to top up money balances for future consumption by purchasing nominal bonds at a discount the wealth distribution becomes more centered with a smaller consumption deviation from the first best second the higher inflation tax on monetary wealth to finance interest payments makes money less valuable so that the quantity of output produced in exchange for money decreases the trade off between the welfare enhancing effect on wealth distribution and the distortionary effect on output implies the socially optimal discount rate and liquidity

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

search inflation and capital accumulation abstract this paper constructs a model to integrate the search monetary theory into a neoclassical growth model with divisible goods and money the model is used to examine the relationship between money growth and capital accumulation the framework uncovers a distinct extensive effect that an increase in the money growth rate increases the frequency of successful trades by increasing the number of agents in the market this positive extensive effect on the number of trades can dominate the conventional negative intensive effects of money growth on individuals labor input and real money balance in which case increasing the money growth rate increases aggregate capital and output

a model of money with multilateral matching we develop a model of decentralized monetary exchange to examine the distributional effects of inflation across heterogeneous agents the agents have private information about their productivity preferences or money holdings matching is multilateral and each seller is visited by a stochastic number of buyers the good is allocated according to a second price auction in money in equilibrium homogeneous buyers hold different amounts of money leading to price dispersion we find the closed form solution for the distribution of money holdings entry of sellers is suboptimal except at the friedman rule inflation acts as a regressive tax

unique monetary equilibrium with inflation in a stationary bewley aiyagari model abstract we prove the existence and uniqueness of a stationary monetary equilibrium in a bewley aiyagari model with idiosyncratic shocks this is an exchange economy with an infinite horizon and one consumption good and with each agent facing idiosyncratic endowment shocks at each period the agents may trade their endowments for the only asset fiat money the government increases the money supply at a constant growth rate that induces inflation in a stationary monetary equilibrium we identify the necessary and sufficient condition for a stationary monetary equilibrium where money has a positive value and the aggregate real balance is constant over time to exist and when it exists we show that it is unique the argument for uniqueness is based on a new monotonicity result for the average optimal consumption

coexistence of money and interest bearing securities abstract a random matching model with money is used to study the nominal yield on small denomination bearer safe discount securities issued by the government there is always one steady state with matured securities circulating at par and for some parameters another with them circulating at a discount in the former a necessary and sufficient condition for a positive nominal yield on not yet matured securities is exogenous discriminatory treatment of them by the government in the latter the post maturity discount on securities induces a deeper pre maturity discount even without such discriminatory treatment

identification results for duration models with multiple spells the purpose of this paper is to investigate the identifiability of duration models with multiple spells we prove that the results of elbers and ridder 1982 and heckman and singer 1984 can be generalized to multi spell models with lagged duration dependence we also prove that without lagged duration dependence the identification result does not depend on moment conditions or tail conditions on the mixing distribution this result is in contrast to ridder s 1990 result for single spell models

dynamic auction markets with fiat money in this paper we consider various types of models where fiat money is used to facilitate trades and investigate whether models with fiat money have the same equilibrium allocations in particular we investigate whether or not such models have a continuum of stationary equilibria we first present a dynamic centralized auction market model with money which has not been investigated in the literature we compare its outcome with that of walrasian models with cash in advance constraints and show that the outcomes are very different the walrasian markets model has determinate stationary equilibria and the auction markets model has a continuum of stationary equilibria moreover we also build models on decentralized auction markets and on decentralized markets with bargaining and obtain results similar to those of the dynamic centralized auction markets model

generalized search theoretic models of monetary exchange abstract virtually all simple search models of money assume agents with money cannot produce and so everyone has either 0 or 1 units of money in steady state we alternatively assume agents can always produce and simply restrict money inventories to 0 or 1 this seems better for many issues for example in the standard model it is difficult to interpret increases in the money supply because increasing the fraction of agents holding money decreases the economy s productive capacity our model avoids these problems and thus delivers more natural and simpler implications in many contexts we compare results on existence multiplicity and welfare across models

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 holdings inflation and welfare in a competitive market this paper examines an environment where money is essential and agents exchange in perfectly competitive walrasian markets agents consume and produce a homogeneous good but hold money to purchase consumption in the event of a relatively low productivity shock a walrasian market delivers a non degenerate distribution of money holdings across agents and avoids some of the computational difficulties associated with the market and pricing assumptions of bilateral matching and bargaining common to search theoretic environments the model is calibrated to long run us velocity and the welfare costs of inflation are assessed for variable buyer seller ratios and persistent states of buying and selling

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

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 fundamental theory of exchange rates and direct currency trades in this paper we construct a two country search model to determine the nominal exchange rate between two fiat monies our model allows agents to use any currency to trade for goods in all countries however search frictions restrict agents opportunities for instantaneous arbitrage and hence make the nominal exchange rate determinate the nominal exchange rate depends on the two countries economic fundamentals including the stocks and growth rates of the two monies direct exchanges between currencies are essential and they imply a nominal exchange rate that is different from the relative price between the two currencies in the goods markets there are persistent violations of the law of one price and purchasing power parity in equilibrium despite the fact that prices are perfectly flexible and all goods are tradeable between countries nominal and real exchange rates can move together in the steady state in response to money growth shocks

viewpoint a microfoundation of monetary economics in this lecture i explain what the microfoundations of money are about and why they are necessary for monetary economics then i review recent developments of a particular microfoundation of money commonly known as the search theory of money finally i outline some unresolved issues dans cette presentation l auteur explique ce que sont les microfondations de la monnaie et pourquoi elles sont necessaires a l economie monetaire ensuite il passe en revue certains developpements recents d une microfondation particuliere de la monnaie connue sous le nom de theorie de la recherche de la monnaie enfin l auteur fait le tour d un ensemble de problemes qui restent sans solution pour le moment

inventories and money holdings in a search economy the authors analyze a continuous time model with a walrasian labor market and a random search retail market with prices set on a take it or leave it basis the equilibrium distribution of money holdings is the asymptotic steady state of this stochastic process there is a unique uniform price steady state equilibrium the faster the search process the higher the absolute price wage and real wage the instantaneous effect of an equal per capita infusion of money is to raise the price wage real wage and transactions rate the immediate post infusion price and wage can overshoot their new asymptotic values copyright 1990 by the econometric society

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

equilibrium price dispersion in a matching model with divisible money the main purpose of this paper is to show that for any given parameter values an equilibrium with dispersed prices two price equilibrium exists in a simple matching model with divisible money presented by green and zhou 1998 we also show that our two price equilibrium is unique in certain environments moreover the welfare effect of price dispersion is analysed

liquidity quality production cost and welfare in a search model of money this paper examines a search model of money with divisible commodities of high and low quality while keeping the assumptions of indivisible money and unit inventory constraint with no direct barter and a higher fixed cost of producing high relative to low quality an increase in the money stock encourages the production of high quality output by trading off the larger trading opportunities against the significance of higher fixed cost as long as the fixed cost differential between high and low quality is sufficiently small relative to the utility gain from high quality consumption the quality improvement outweighs the negative effect of higher money stocks on aggregate production and hence implies higher welfare the most important function of money is its role as a medium of exchange wicksell 1906 1967 p 17 defined a general medium of exchange to be an object which is habitually and without hesitation taken by anybody in exchange for any commodity the main challenge facing monetary theory is to construct a model which permits the object s role in exchange to be endogenous 1 kiyotaki and wright 1991 1993 seems to be the first fully coherent model which specifies the environment and equilibrium concept in a way that does not force at the outset the assumption on which objects will play a special role in trade the kiyotaki wright model departs from the physical environment of the standard general equilibrium model through the assumption that trading histories are private information the medium of exchange role of money is obtained as an outcome of nash equilibrium together with some bargaining rule in pairwise random meetings however the standard kiyotaki wright model yields an undesirable welfare implication that an increase in the money stock eventually leads to a decrease in welfare because of a decrease in the number of agents who get to consume in a given period the same welfare property is obtained in the models with divisible commodities such as trejos and wright 1995 and shi 1995 2 this property has been regarded as the outcome of the original kiyotaki wright assumptions of indivisible money and the inventory constraint agents can only carry one object either commodity or money at a time despite simplifying the distribution of money holdings these assumptions impose the restriction that agents are not allowed to produce while they hold money

on the efficiency of monetary exchange how divisibility of money matters abstract we use alternative assumptions about the divisibility of goods and money and the ability of agents to use lotteries on money to investigate to what extent the indivisibility of money is the cause for the typically inefficient production and consumption decisions in search theoretic models of money our framework potentially generates three types of inefficiencies the no trade inefficiency where no trade takes place even though it would be socially efficient to trade and the too much trade and too little trade inefficiencies where the quantities produced and exchanged are either larger or smaller than what the solution to a social planner s problem would mandate it is shown that while the no trade and the too much trade inefficiencies are caused by the indivisibility of money the too little trade inefficiency remains even when money is divisible unless it is sufficiently valued

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

moral hazard vs liquidity and optimal unemployment insurance this paper presents new evidence on why unemployment insurance ui benefits affect search behavior and develops a simple method of calculating the welfare gains from ui using this evidence i show that 60 percent of the increase in unemployment durations caused by ui benefits is due to a liquidity effect rather than distortions on marginal incentives to search moral hazard by combining two empirical strategies first i find that increases in benefits have much larger effects on durations for liquidity constrained households second lump sum severance payments increase durations substantially among constrained households i derive a formula for the optimal benefit level that depends only on the reduced form liquidity and moral hazard elasticities the formula implies that the optimal ui benefit level exceeds 50 percent of the wage the exact identification approach to welfare analysis proposed here yields robust optimal policy results because it does not require structural estimation of primitives

frictional goods markets theory and applications we analyse dynamic general equilibrium models with more or less directed search by informed buyers and random search by uninformed buyers this nests existing specifications and generates new insights a quantitative application concerns the welfare cost of inflation which is known to be quite high with pure random search and low with pure directed search our calibration implies the impact of inflation is fairly low in part because in addition to the usual costs it provides benefits by more heavily taxing high price sellers that inefficiently profit from exploiting the uninformed other applications analyse analytically and numerically changes in credit conditions and information

international monetary trade and the law of one price abstract we endogenize circulation of currencies and price formation in a decentralized trading environment with two countries and two currencies in equilibrium sellers of homogeneous goods may post prices in the national or also in the foreign currency given unobservable buyers valuations we prove that under different monetary regimes the absence of well integrated international goods markets doesn t necessarily imply a violation of the law of one price we also illustrate the behavior of prices across regimes characterized by different degrees of monetary integration

nominal bonds and interest rates in this article i integrate the microfoundation of monetary theory with the model of limited participation to analyze the competition between nominal bonds and money the market for government nominal bonds is centralized and walrasian whereas the goods market is modeled as random matches the government imposes a legal restriction that requires all government goods to be purchased with money but not with bonds by contrast private agents can exchange between themselves with both money and bonds i show that an arbitrarily small legal restriction is sufficient to prevent matured bonds from being a medium of exchange i also analyze the effects of monetary policy with and without the legal restriction some of those effects differ significantly from traditional monetary models

intermediation in markets for goods and markets for assets abstract we analyze agents decisions to act as producers or intermediaries using equilibrium search theory extending previous analyses in various ways we ask when intermediation emerges and study its efficiency in one version of the framework meant to resemble retail middlemen hold goods which entails storage costs that model always displays uniqueness and simple transition dynamics in another version middlemen hold assets which entails negative costs i e positive returns that model can have multiple equilibria and complicated belief based dynamics these results are consistent with the venerable view that intermediation in financial markets is more prone to instability than in goods markets

comment on search money and capital a neoclassical dichotomy by s borag uan aruoba and randall wright before giving my general comments on the paper i think that it would be useful to describe the evolution of monetary search models for those who have not followed recent developments in the literature in this way one has a better sense of the contribution made by aruoba and wright 2003 this issue of jmcb most people are familiar with the basic monetary search model developed by kiyotaki and wright 1989 1993 and for many this may be the extent of their knowledge of money search models in this first generation of models goods and money are indivisible and agents can only hold one unit of goods or money the key contribution of the models was to carefully describe the decentralized trading environment that gives rise to a double coincidence of wants problem and to endogenize the decision to accept money as payment for goods and services in all search models assumptions regarding anonymity of trading histories and imperfect record keeping mean that credit is not feasible thus money is essential for trade i e better allocations can be achieved through the use of money than without it while analyzing the decision to accept money as a medium of exchange does not hinge on indivisibilities or inventory restrictions other questions such as how

endogenous censoring in the mixed proportional hazard model with an application to optimal unemployment insurance in economic duration analysis it is routinely assumed that the process which led to censoring of the observed duration is independent of unobserved characteristics the objective of this paper is to examine the sensitivity of parameter estimates to this independence assumption in the context of an economic model of optimal unemployment insurance we assume a parametric model for the duration of interest and leave the distribution of censoring unrestricted allowing it to be correlated with both observed and unobserved characteristics this leads to loss of point identification we provide a practical characterization of the identified set with moment inequalities and suggest methods for estimating this set in particular we propose a profiled procedure that allows us to build a confidence set for a subvector of the model parameters we apply this approach to estimate the elasticity of exit rate from unemployment with respect to unemployment benefit and find that both positive and negative values of this elasticity are supported by the data when combined with the welfare formula in chetty 2008 these estimates do not permit us to put an upper bound on the size of the welfare change due to an increase in the unemployment benefit we conclude that given the available data alone one cannot credibly judge if the unemployment benefits in the us are close to the optimal level

stationary monetary equilibria with strictly increasing value functions and non discrete money holdings distributions an indeterminacy result abstract in this paper we present a search model with divisible money in which there exists a continuum of monetary equilibria with strictly increasing continuous value functions and with non discrete money holdings distributions

does commodity money eliminate the indeterminacy of equilibrium abstract previous studies have shown that a random matching model with divisible fiat money and without constraint on agents money inventories possesses a continuum of stationary single price equilibria wallace j econom theory 81 1998 223 conjectures that the indeterminacy can be eliminated by the use of commodity money instead i find that in a similar random matching model with dividend yielding commodity money a continuum of stationary single price equilibria exists when the utility of dividend is not too high this result casts doubt on the conventional belief that the indeterminacy of monetary equilibrium is be caused only by the nominal nature of money

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

true and spurious duration dependence the identifiability of the proportional hazard model lancaster and nickell 1980 have argued that in the proportional hazard model the effects of time dependence true duration dependence and unobserved sample heterogeneity spurious duration dependence cannot be distinguished we show that both effects can be distinguished if the model allows for observed explanatory variables in the hazard we also discuss the application of our result to practical situations

the future of monetary aggregates in monetary policy analysis this paper considers the role of monetary aggregates in modern macroeconomic models of the new keynesian type the focus is on possible developments of these models that are suggested by the monetarist literature and that in addition seem justified empirically both the relation between money and inflation and between money and aggregate demand are considered regarding the first relation it is argued that both the mean and the dynamics of inflation in present day models are governed by money growth this relationship arises from a conventional aggregate demand channel claims that an emphasis on the link between monetary aggregates and inflation requires a direct channel connecting money and inflation are wide of the mark the relevance of money for aggregate demand in turn lies not via real balance effects or any other justification for money in the is equation but on money s ability to serve as a proxy for the various substitution effects of monetary policy that exist when many asset prices matter for aggregate demand this role for monetary aggregates which is supported by empirical evidence enhances the value of money to monetary policy

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

on the role of tax subsidy scheme in money search models this article investigates the roles of policy in search models with divisible money recently real indeterminacy of stationary equilibria has been found in both specific and general search models with divisible money thus if we assume the divisibility of money it would be quite difficult to make accurate predictions of the effects of simple monetary policies therefore in this article we introduce a certain tax subsidy scheme and show that this is effective in selecting a determinate efficient equilibrium in other words for a given efficient equilibrium and for any real number 0 a certain tax subsidy scheme induces a locally determinate equilibrium within the neighborhood of the given equilibrium moreover the size of the tax subsidy can be arbitrarily small

perfectly competitive bilateral exchange without discounting in a random matching economy of traders who maximize cumulative consumption overtaking criterion the stationary markov bayesian perfect equilibrium is studied at such equilibrium two results hold 1 perfect substitutability between current and future consumption implies a no surplus condition and 2 by the no surplus condition there is a nominal price at which all trades must occur these results strengthen the seminal results of ostroy 1973 regarding monetary bilateral exchange in two ways the incentive compatibility of the equilibrium trading pattern is established and a less roundabout trading pattern enhances welfare by enabling consumption to occur more frequently

unemployment insurance and unemployment spells this paper tests the effects of the level and length of unemployment insurance benefits on unemployment durations the paper particularly studies individual behavior during the weeks just prior to when benefits lapse higher unemployment insurance benefits are found to have a strong negative effect on the probability of leaving unemployment however the probability of leaving unemployment rises dramatically just prior to when benefits lapse individual data are used with accurate information of spell durations and the level and length of benefits the semiparametric estimation techniques used in the paper yield more plausible estimates than conventional approaches and provide useful diagnostics copyright 1990 by the econometric society

why money growth determines inflation in the long run answering the woodford critique woodford 2007 argues that it is not appropriate to regard inflation in the steady state of new keynesian models as determined by steady state money growth woodford instead argues that the intercept term in the monetary authority s interest rate policy rule determines steady state inflation in this paper i offer an alternative interpretation of steady state behavior according to which it is appropriate to regard steady state inflation as determined by steady state money growth the argument relies on traditional interpretations of the central bank s power in the long run and appeals to model properties that are common to textbook and new keynesian analysis according to this argument the only way the central bank can control interest rates in the long run is via affecting inflation and its only means available for determining inflation is by determining the money growth rate

search based models of money and finance an integrated approach many applications in monetary economics of search and bargaining theory use shi trejos wright hereafter stw many applications in finance use duffie g rleanu pedersen hereafter dgp these models share several features and both concern liquidity yet they also differ in stw agents use assets as payment instruments when trading goods in dgp they pay with goods or transferable utility when trading assets we integrate the two this clarifies connections between the literatures and generates novel insights several new results are provided for the baseline stw and dgp models while the integrated structure generates even more interesting outcomes including endogenous transactions patterns and belief based dynamics

sticky prices and costly credit we develop a theory of money and credit as competing payment instruments then put it to work in applications agents use cash and credit because the former latter is subject to the inflation tax transaction costs frictions that make the choice of payment method interesting also imply equilibrium price dispersion we derive closed form solutions for money demand and show how to simultaneously account for the price change facts cash credit shares in micro data and money interest correlations in macro data the effects of inflation on welfare price dispersion and markups are discussed as are nonstationary equilibria with dynamics in the price distribution

self confirming price dispersion in monetary economies abstract in a monetary economy we show that price dispersion arises as an equilibrium outcome without the need for costly simultaneous search or any heterogeneity in preferences production costs or search technologies a distribution of money holdings among buyers makes sellers indifferent across a set of posted prices leading to a non degenerate price distribution this price distribution in turn makes buyers indifferent across a range of money balances rationalizing the non degenerate distribution of money holdings we completely characterize the distribution of posted prices and money holdings in any equilibrium equilibria with price dispersion admit higher maximum prices than observed in any single price equilibrium and feature an increasing density of prices in contrast to existing theories price dispersion reduces welfare by creating mismatch between posted prices and money balances inflation exacerbates this welfare loss by shifting the distribution towards higher prices

a matching model with bounded holdings of indivisible money recent versions of pairwise random matching models of money with divisible and perishable goods are amended to allow individuals to hold more than one unit of an indivisible asset the asset resembles a fiat asset except that nominal holdings of it yield a small amount of utility there is a general upper bound on the number of units of the asset that individuals can hold a steady state with trade is shown to exist the model is applied to study numerically the effect on welfare of the degree to which the asset is divisible

foundation of competitive equilibrium with non transferable utility abstract this paper investigates the dynamic foundation of a competitive equilibrium studying a sequence of random matching models between ex ante heterogeneous buyers and sellers under two sided incomplete information with no entry where each agent is endowed with non transferable utility the economy is populated with two sets of infinitesimal agents buyers and sellers who have private information about their own valuations of the object in each period buyers and sellers in the pool are matched to draw randomly a pair of expected payoffs which will realize if the long term relationship is formed each player decides whether or not to agree to form a long term relationship conditioned on his private information if both parties agree then they leave the pool receiving the expected payoff in each period while the long term relationship continues the existing long term relationship is terminated either by will or by a random shock upon which both parties return to the respective pools of agents we quantify the amount of friction by the time span of each period we demonstrate that as the friction vanishes any sequence of stationary equilibrium outcomes in which trade occurs with a positive probability converges to the competitive equilibrium under a general two sided incomplete information about the private valuation of each agent

a theory of money and marketplaces this article considers an infinitely repeated economy with divisible fiat money the economy has many marketplaces that agents choose to visit in each marketplace agents are randomly matched to trade goods there exist a variety of stationary equilibria in some equilibrium each good is traded at a single price whereas in another every good is traded at two different prices there is a continuum of such equilibria which differ from each other in price and welfare levels however it is shown that only the efficient single price equilibrium is evolutionarily stable

attrition in longitudinal panel data and the empirical analysis of dynamic labour market behaviour in the empirical analysis of unemployment durations and job durations it is generally assumed that the stochastic processes underlying labour market behaviour and the behaviour concerning participation in a panel survey are independent however there are reasons to believe that the probability of dropping out of the panel is related to the rate at which a different job is found if there is such a relation and if it is ignored then the estimator of the rate at which individuals become employed or change jobs will generally be inconsistent in this paper we analyse the relation between the duration spent in a particular labour market state and the duration of panel survey participation by explicitly modelling and estimating the joint distribution of both durations the emphasis will be on models allowing for stochastically related unobserved determinants of both types of duration we estimate models both for unemployment durations and for job durations copyright 1994 john wiley sons ltd

price setting price dispersion and the value of money or the law of two prices abstract we study models combining search money price posting and preference shocks we show how these features interact to influence the price level and price dispersion first price posting equilibria exist with valued fiat currency second although both are possible price dispersion is more common than a single price third we prove that generically there cannot be more than two prices we provide intuition for this law of two prices show it also holds in some nonmonetary search models and discuss variations of the assumptions under which it may not hold

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

endogenously censored median regression with an application to benefit elasticity of us unemployment duration abstract we suggest a new inference method for median regression which is robust to assumptions on the censoring mechanism applying the method on the sipp data we obtain that the benefit elasticity of median unemployment duration is between 1 1 and 7 9

contingent prices and money price posting with directed search is a widely used trading mechanism coles and eeckhout showed that if sellers are allowed to post prices contingent on realized demand instead of one price then there is real market indeterminacy in this article we fit this contingent price posting protocol into a monetary economy we show that as long as holding money is costly there exists a unique equilibrium rather than a continuum in this equilibrium sellers post a low price for when the buyer is alone a high price for when several buyers show up and buyers randomize between sellers and money holdings

on the distribution of money holdings in a random matching model this article studies stationary and nonstationary distributions of money holdings in a random matching model the first part characterizes the stationary distributions of money holdings and derives the optimum quantity of money the second part considers nonstationary distributions of the optimum quantity of money to show that if the production costs are not too large any distribution of the optimum quantity of money converges asymptotically to the uniform distribution

indivisibilities lotteries and monetary exchange we introduce lotteries randomized trading into search theoretic models of money in a model with indivisible goods and fiat money we show goods trade with probability 1 and money trades with probability where 1 iff buyers have sufficient bargaining power with divisible goods a nonrandom quantity q trades with probability 1 and again money trades with probability where 1 iff buyers have sufficient bargaining power moreover q never exceeds the efficient quantity not true without lotteries we consider several extensions designed to get commodities as well as money to trade with probability less than 1 and to illuminate the efficiency role of lotteries