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

competition risk and managerial incentives this paper examines how the degree of competition among firms in an industry affects the optimal incentives that firms provide to their managers a central assumption is that there is free entry and exit in the industry which implies that changes in the nature of competition lead to changes in the equilibrium market structure the main result is that as the intensity of product market competition increases as a result of greater product substitutability or greater market size principals unambiguously provide stronger incentives to their agents to reduce costs at the same time more intense competition also leads to more volatile firm level profits consequently managers incentives are positively correlated with firm level risk consistent with empirical evidence a decrease in the cost of entering the market has the opposite effect on incentives but still induces a positive correlation between risk and incentives

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

uncertain altruism and investment in children the authors discuss the concept of parental uncertainty about their childrens altruism and the consequences for investment in childrens human capital in this paper we show that if parents are uncertain about their childrens altruism but are at least sure that they will receive some support from their children then the unique optimal investment is the efficient one uncertainty over the exact level of the retirement gift does not alter the conclusion of the perfect certainty case even when parents are risk averse alternatively parents may not know enough about their childrens altruism to feel completely confident that some gift will be forthcoming regardless of the size of their investment under this assumption we show that the optimal investment must be less than the efficient amount excerpt

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

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 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

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

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

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

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

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