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Friedman meets Hosios: efficiency in search models of money

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Listed:
  • Aleksander Berentsen
  • Guillaume Rocheteau
  • Shouyong Shi

Abstract

In this paper the authors study the inefficiencies of the monetary equilibrium and optimal monetary policies in a search economy. They 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. The authors analyze when the second-best monetary policy exceeds the Friedman rule and when it obeys the Friedman rule. Furthermore, they extend the analysis to an economy with barter and show how the Hosios rule must be modified in order to internalize all search externalities.

Suggested Citation

  • Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, 2004. "Friedman meets Hosios: efficiency in search models of money," Working Paper 0408, Federal Reserve Bank of Cleveland.
  • Handle: RePEc:fip:fedcwp:0408
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    References listed on IDEAS

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    More about this item

    Keywords

    Monetary policy - Mathematical models ; Money - Mathematical models;

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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