A simple search model of money with heterogeneous agents and partial acceptability

Summary. Simple search models have equilibria where some agents accept money and others do not. We argue such equilibria should not be taken seriously. This is unfortunate if one wants a model with partial acceptability. We introduce heterogeneous agents and show partial acceptability arises naturally and robustly. There can be multiple equilibria with different degrees of acceptability. Given the type of heterogeneity we allow, the model is simple: equilibria reduce to fixed points in [0,1]. We show that with other forms of heterogeneity equilibria are fixed points in set space, and there is no method to reduce this to a problem in R¹.Received: 4 September 2002, Revised: 23 September 2002JEL Classification Numbers: C78, E40.A. Shevchenko, R. Wright: We thank seminar participants at the Federal Reserve Bank of Cleveland, Indiana University, Purdue University, University of Toronto, the 2002 Midwest Macroeconomics Conference at Vanderbilt University, and the 2001 Conference on Economic Dynamics at the University of Essex. The National Science Foundation and the Federal Reserve Bank of Cleveland provided financial support. Braz Ministerio de Camargo and Gabriel Camera provided some helpful suggestions. Correspondence to: R. Wright     

A note on asymmetric and mixed strategy equilibria in the search-theoretic model of fiat money

Summary. The simple search-theoretic model of fiat money has three symmetric Nash equilibria: all agents accept money with probability 1; all agents accept money with probability 0; and all agents accept money with probability y in (0,1). Here I construct an asymmetric pure strategy equilibrium, payoff-equivalent to the symmetric mixed strategy equilibrium, where a fraction N in (0,1) of agents always accept money and 1-N never accept money. Counter to what has been conjectured previously, I find N > y. I also introduce evolutionary dynamics, and show that the economy converges to monetary exchange iff the initial proportion of agents accepting money exceeds N. Received: September 10, 1997; revised version: April 24, 1998     

Currency restrictions,government transaction policies and currency exchange

Summary. We study how currency restrictions and government transaction policies affect the values of fiat currencies in a two country, divisible good, search model. We show that these policies can generate equilibria where both currencies circulate as medium of exchange and where currency exchange occurs between citizens of different countries. Restrictions on the internal use of foreign currency can cause the domestic currency to be relatively more valuable to domestic agents while taxes on domestic currency create an incentive for home agents to hold foreign currency. We demonstrate that some policies increase prices and lower welfare while others do the reverse. Received: September 5, 2001; revised version: March 1, 2002     

Currency interdependence and dollarization

This paper constructs a search model of currency interdependence, and uses it to examine how in dollarized economies the foreign currency reacts to various shocks to the domestic currency. Currency interdependence is generated by allowing sellers to take into account their outside option of trading with the domestic currency while bargaining with buyers holding the foreign currency. The shocks consist in movements in the domestic interest rate, domestic inflation and the domestic currency’s market power. We show that if the purchasing power of the domestic currency is low, any shock that increases its value, such as a higher domestic interest rate, translates into a depreciation of the foreign currency. However, the result is opposite when the purchasing power of the domestic currency is high. We show that when money is indivisible these shocks can drive in or out the foreign currency. When money is divisible, this currency substitution effect is more limited. We use our results to discuss the opportunity of various de-dollarization policies and show that some can be counterproductive.     

Optimal monetary and fiscal policies in a search theoretic model of monetary exchange

Search models of monetary exchange commonly assume that terms of trade in anonymous markets are determined via Nash bargaining, which generally causes monetary equilibrium to be inefficient. Bargaining frictions add to the classical intertemporal distortion present in most monetary models, whereby agents work today to obtain cash that can be used only in future transactions. In this paper, we study the properties of optimal fiscal and monetary policy within the framework of Lagos and Wright (2005). We show that fiscal policy can be implemented to alleviate underproduction while money is still essential. If lump sum monetary transfers are available, a production subsidy can restore the efficiency of monetary equilibria. The Friedman rule belongs to the optimal policy set, but higher inflation rates are also possible. When lump-sum monetary transfers are not available, equilibrium allocations are generally not first-best. Nevertheless, fiscal policy still results in substantial welfare gains. Money can be extracted from circulation via a sales tax on decentralized market activities, and the Friedman rule is only optimal if the buyer has relatively low bargaining power.     

Limited participation,private money,and credit in a spatial model of money

Summary. The purpose of this paper is to explore the implications of private money issue for the effects of monetary policy, for optimal policy, and for the role of fiat money. A locational model is constructed which gives an explicit account of the role for money and credit, and for limited financial market participation. When private money issue is prohibited, there is a liquidity effect as the result of a money injection from the central bank, but this effect goes away when private money is permitted. Private money issue changes dramatically the nature of optimal monetary policy. With private money, fiat currency is no longer used in transactions involving goods, but currency and central bank reserves play an important part in the clearing and settlement of private money returned for redemption.Received: 5 May 2003, Revised: 1 December 2003JEL Classification Numbers: E4, E5.The author thanks seminar participants at the Federal Reserve Bank of Richmond and Duke University, conference participants at the Texas Monetary Conference at U.T. Austin, February 2002, and the Conference on Recent Developments in Money and Finance at Purdue University, May 2003, as well as Gabriele Camera, Ed Nosal, Will Roberds, and two anonymous referees for their helpful comments and suggestions.     

General equilibrium in economies with adverse selection

We model economies of adverse selection as Arrow–Debreu economies. In the spirit of Prescott and Townsend (Econometrica 52(1), 21–45, 1984a), we identify the consumption set of the individuals with the set of lotteries over net transfers. Thus, prices are linear in lotteries, but they may be non linear in commodity bundles. First, we study a weak equilibrium notion by viewing the economy of adverse selection as a pure exchange economy. The weak equilibrium set is non empty, but some of the allocations may be inefficient, and the equilibria indeterminate. Second, following Prescott and Townsend (Econometrica 52(1), 21–45, 1984a), we introduce an intermediary (firm) supplying feasible and incentive compatible measures. Equilibria are constrained efficient, but the equilibrium set is empty for an open set of economies containing the Rothschild and Stiglitz insurance economies. The research of A. Rustichini was supported by the NSF grant NSF/SES-0136556.     

Decentralized credit and monetary exchange without public record keeping

Summary. We relax a standard assumption on the matching technology in a search model of money. In particular, agents may remain in a long-term partnership as long as it is in their self-interest. With this simple modification, it is possible to support self-enforcing, intertemporal trade which resembles credit without a public record keeping device. We examine conditions for co-existence of currency and credit and the welfare gains/losses associated with the introduction of money.Received: 20 April 2003, Revised: 10 July 2003JEL Classification Numbers: E0.An earlier version of this paper was entitled Money and Search with Enduring Relationships. We wish to thank Narayana Kocherlakota, Rachel Kranton, Jeff Lacker, Andrei Shevchenko, Shouyong Shi, Ted Temzelides, Chris Waller, and especially David Andofolatto, Gabriele Camera, Drew Saunders, and Randy Wright for helpful comments on that earlier draft, as well as seminar participants at the University of Pennsylvania, Purdue University, American Economic Association Meetings, Summer Econometric Society Meetings, and NBER Summer Workshop. Corbae wishes to thank the Research Department at the Federal Reserve Bank of St. Louis for research support.Correspondence to: D. Corbae     

企业技术创新搜寻研究综述

阐述了企业技术搜寻的研究现状,对现有研究成果进行了梳理,概括了当前企业技术搜寻的主要研究内容,并对今后的研究趋势和研究重点进行了分析。     

Debt, liquidity and dynamics

Summary. Money, which provides liquidity, is distinct from debt. The introduction of a bank that issues money in exchange for debt and pays out its profit as dividend to shareholders modifies the model of overlapping generations. The set of equilibrium paths, their dynamic properties, as well as the scope and effectiveness of monetary policy are significantly altered: though low rates of interest are associated with superior steady state allocations, stability of the steady state may require a nominal rate of interest above a certain minimum: without production, a decrease in the nominal rate of interest may result in explosive behavior or convergence to an endogenous cycle, while in an economy with production, an increase in the nominal rate of interest may lead to indeterminacy and fluctuations.Received: 5 October 2004, Revised: 5 November 2004 JEL Classification Numbers: E30, E32, E50, E52.C. Rochon, H.M. Polemarchakis: We thank Jean-Michel Grandmont for helpful comments. Correspondence to: C. RochonThis revised version was published online in May 2005 with a corrected abstract.     

Monetary equilibria over an infinite horizon

Summary. Money provides liquidity services through a cash-in-advance constraint. The exchange of commodities and assets extends over an infinite horizon under uncertainty and a sequentially complete asset market. Monetary policy sets the path of rates of interest and accommodates the demand for balances through open market operations or loans. A public authority, which, most pertinently, inherits a strictly positive public debt, raises revenue from taxes and seignorage, and it distributes possible budget surpluses to individuals through transfers. Competitive equilibria exist, under mild solvency conditions. But, for a fixed path of rates of interest, there is a non-trivial multiplicity of equilibrium paths of prices of commodities. Determinacy requires that, subject to no-arbitrage and in addition to rates of interest, the prices of state-contingent revenues be somehow determined.Received: 16 April 2003, Revised: 16 January 2004, JEL Classification Numbers: D50, E40, E50.We are grateful to Pietro Reichlin, Rabah Amir, Tomoyuki Nakajima, Armando Dominioni and Leo Ferraris for helpful discussions and their reading of preliminary drafts. The usual disclaimer applies. An earlier version was circulated as [4].     

货币流通速度的再认识——对我国1992-2008年交易流通速度的分析

本文考察了我国1992—2008年期间交易流通速度的变动特征。研究发现,我国交易流通速度的波动具有较明显的顺周期特征,且2000年以后,交易流通速度与收入流通速度的同步波动性消失,二者出现发散趋势。对于交易流通速度的分析可以更好地指示货币需求的变化,为我国货币供给规划以及货币政策的实施提供参照。     

Money,price dispersion and welfare

Summary. We introduce heterogeneous preferences into a tractable model of monetary search to generate price dispersion, and then examine the effects of money growth on price dispersion and welfare. With buyers search intensity fixed, we find that money growth increases the range of (real) prices and lowers welfare as agents shift more of their consumption to less desirable goods. When buyers search intensity is endogenous, multiple equilibria are possible. In the equilibrium with the highest welfare level, money growth reduces welfare and increases the range of prices, while having ambiguous effects on search intensity. However, there can be a welfare-inferior equilibrium in which an increase in money growth increases search intensity, increases welfare, and reduces the range of prices.Received: 25 July 2003, Revised: 12 December 2003JEL Classification Numbers: E31, D60.B. Peterson, S. Shi: We thank Gabriele Camera, Aleksander Berentsen and an anonymous referee for useful suggestions. We have also received valuable comments from the participants of the workshop at Michigan State, the Purdue Conference on Monetary Theory (2003) and the Midwest Macro Meeting (Chicago, 2003). Shi gratefully acknowledges financial support from the Bank of Canada Fellowship and the Social Sciences and Humanities Research Council of Canada. The opinion expressed here is the authors own and does not reflect the view of the Bank of Canada.Correspondence to: S. Shi     

转型经济的货币深化与货币挤出:中国和俄罗斯的不同

通货膨胀是转型经济所要面临的挑战,因此分析转型经济的货币问题十分必要。通过构建货币深化和货币挤出两种不同货币现象的分析框架,并对中国和俄罗斯的现实情况进行比较,可以发现,货币超发并非通货膨胀的充分条件,只要能够控制好货币的流向,引导货币向货币资本转化,就能够防范和治理通货膨胀,以交易方程式和鲍莫尔—托宾模型的实证检验也印证了上述观点。     

外部知识搜寻及其双元性对科技型中小企业管理创新的影响

外部知识搜寻对内部资源不足的科技型中小企业管理创新有着重要意义,结合知识搜索理论和组织双元理论,探讨外部知识搜寻及其双元性对科技型中小企业管理创新的影响与边界条件。通过318家科技型中小企业调查数据,运用层次回归方法进行实证分析,得出以下结论:知识搜寻宽度对科技型中小企业管理创新有着倒U型影响;知识搜寻深度对管理创新有着正U型影响;平衡式知识搜寻正向促进科技型中小企业管理创新;组合式知识搜寻对管理创新不存在显著影响。