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 consumption function and intertemporal spillover effects the fact that consumers save more or consume less as long as they expect pessimistically that labor supply constraint will be binding in the future is speculated all the time however no theoretical works are developed satisfactorily without taking the intertemporal spillover effects into account in this paper an explicit solution to the consumer s intertemporal optimization problem is derived by taking account of the intertemporal spillover effects in addition it is shown that the extrinsic uncertainty of labor supply rationing induces people to save more money thus this model is an extension of clower s and barro grossman s models

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

coalition proof trade and the friedman rule in the lagos wright model the lagos wright model a monetary model in which pairwise meetings alternate in time with a centralized meeting has been extensively analyzed but always using particular trading protocols here trading protocols are replaced by two alternative notions of implementability one that allows only individual defections and one that also allows cooperative defections in meetings it is shown that the first best allocation is implementable under the stricter notion without taxation if people are sufficiently patient and if people are free to skip the centralized meeting then lump sum taxation used to pay interest on money does not enlarge the set of implementable allocations

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 relationship between the inflation rate and its variability the issues reconsidered this paper empirically reexamines the hypothesis of a positive relationship between the inflation rate and its variability the sample consists of 66 countries for the 1955 85 sample period using pooled cross section time series data empirical tests are performed for nine different country groupings ranging from the g 7 developed countries to a group of 10 developing asian countries several important conclusions can be derived first irrespective of the variability measure employed the results indicate the presence of a significant positive relationship between the inflation rate and its variability this provides strong support to okun s hypothesis second this relationship is stronger during the flexible rather than the fixed exchange rate period third there appears to be an optimum zone of inflation rate within which the predictability of inflation is at its highest and hence uncertainty cost is at its lowest for the 1955 85 sample period this optimum zone of average inflation rate lies in th

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

a search theoretic approach to monetary economics the essential function of money is its role as a medium of exchange the authors formalize this idea using a search theoretic equilibrium model of the exchange process that captures the double coincidence of wants problem with pure barter one advantage of the framework described here is that it is very tractable the authors also show that the model can be used to addre ss some substantive issues in monetary economics including the potenti al welfare enhancing role of money the interaction between specializat ion and monetary exchange and the possibility of equilibria with multip le fiat currencies copyright 1993 by american economic association

an equilibrium model of search unemployment this paper develops a simple general equilibrium model with sequential search in which a nondegenerate wage offer distribution is endogenously determined we use this model to analyze the comparati

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

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

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

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

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

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

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

price dispersion inflation and welfare we examine the implications of inflation for both price dispersion and welfare in a monetary search economy in our economy if the degree of buyers incomplete information about prices is fixed both price dispersion and real prices are increasing in inflation as the inflation rate approaches the friedman rule both price dispersion and welfare losses vanish if households choose the number of prices to observe then the optimal inflation rate may exceed the friedman rule as inflation induces search and up to a point raises welfare by eroding market power

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

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

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

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