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Friedman Meets Hosios: Efficiency in Search Models of Money

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Author Info
Aleksander Berentsen
Guillaume Rocheteau
Shouyong Shi

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Abstract

In this paper we study the inefficiencies of the monetary equilibrium and optimal monetary policies in a search economy. We show that the same frictions that give fiat money a positive value generate an inefficient quantity of goods in each trade and an inefficient number of trades (or search decisions). The Friedman rule eliminates the first inefficiency and the Hosios rule the second. A monetary equilibrium attains the social optimum if and only if both rules are satisfied. When the two rules cannot be satisfied simultaneously, which occurs in a large set of economies, optimal monetary policy achieves only the second best. We analyze when the second-best monetary policy exceeds the Friedman rule and when it obeys the Friedman rule. Furthermore, we extend the analysis to an economy with barter and show how the Hosios rule must be modified in order to internalize all search externalities.

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Paper provided by Institute for Empirical Research in Economics - IEW in its series IEW - Working Papers with number iewwp154.

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Handle: RePEc:zur:iewwpx:154

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Keywords: Money Search Friedman rule Hosios rule

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Find related papers by JEL classification:
E00 - Macroeconomics and Monetary Economics - - General - - - General
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    Other versions:
  4. Aleksander Berentsen & Guillaume Rocheteau, 2003. "Money and the Gains from Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 263-297, February. [Downloadable!] (restricted)
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  5. Alexei Deviatov & Neil Wallace, 2001. "Another Example in which Lump-sum Money Creation is Beneficial," Advances in Macroeconomics, Berkeley Electronic Press, vol. 1(advances/), pages 1001-1001. [Downloadable!] (restricted)
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  7. Levine, David K., 1991. "Asset trading mechanisms and expansionary policy," Journal of Economic Theory, Elsevier, vol. 54(1), pages 148-164, June. [Downloadable!] (restricted)
  8. Aleksander Berentsen, 2002. "On the Distribution of Money Holdings in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(3), pages 945-954, August. [Downloadable!] (restricted)
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  26. Li, Victor E, 1995. "The Optimal Taxation of Fiat Money in Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 927-42, November. [Downloadable!] (restricted)
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  33. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Optimal fiscal and monetary policy under imperfect competition," Journal of Macroeconomics, Elsevier, vol. 26(2), pages 183-209, June. [Downloadable!] (restricted)
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  34. Zhou, Ruilin, 1999. "Individual and Aggregate Real Balances in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 1009-38, November.
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  35. Bernheim, B Douglas, 1991. "Optimal Fiscal and Monetary Policy: Some Recent Results," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 540-42, August. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Etienne Lehmann & Bruno Van der Linden, 2007. "Search Frictions on Product and Labor Markets: Money in the Matching Function," IZA Discussion Papers 2718, Institute for the Study of Labor (IZA). [Downloadable!]
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  2. Ricardo Lagos & Guillaume Rocheteau, 2004. "Inflation, output, and welfare," Working Paper 0407, Federal Reserve Bank of Cleveland. [Downloadable!]
    Other versions:
  3. Ben Craig & Guillaume Rocheteau, 2006. "Inflation and welfare: a search approach," Policy Discussion Papers, Federal Reserve Bank of Cleveland, issue Jan. [Downloadable!]
  4. Aleksander Berentsen & Christopher Waller, 2005. "Optimal Stabilization Policy with Flexible Prices," CESifo Working Paper Series CESifo Working Paper No. , CESifo GmbH. [Downloadable!]
  5. Ritter, Moritz, 2007. "The Optimum Quantity of Money Revisited: Distortionary Taxation in a Search Model of Money," MPRA Paper 1973, University Library of Munich, Germany. [Downloadable!]
  6. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis. [Downloadable!]
    Other versions:
  7. Guillaume Rocheteau & Randall Wright, 2003. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," PIER Working Paper Archive 03-031, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
    Other versions:
  8. Guillaume Rocheteau & Randall Wright, 2003. "Inflation and Welfare in Models with Trading Frictions," PIER Working Paper Archive 03-032, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
  9. S. Boragan Aruoba & Randall Wright, 2002. "Search, Money and Capital: A Neoclassical Dichotomy, Second Version," PIER Working Paper Archive 03-028, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Sep 2003. [Downloadable!]
  10. Etienne Lehmann, 2006. "A Search Model of Unemployment and Inflation," IZA Discussion Papers 2194, Institute for the Study of Labor (IZA). [Downloadable!]
  11. Brian Peterson & Shouyong Shi, 2006. "Money, Price Dispersion and Welfare," Working Papers tecipa-191, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  12. Guillaume Rocheteau & Christopher Waller, 2005. "Bargaining and the value of money," Working Paper 0501, Federal Reserve Bank of Cleveland. [Downloadable!]
    Other versions:
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