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Working Paper

Friedman Meets Hosios: Efficiency in Search Models of Money

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.

Working Papers of the Federal Reserve Bank of Cleveland are preliminary materials circulated to stimulate discussion and critical comment on research in progress. They may not have been subject to the formal editorial review accorded official Federal Reserve Bank of Cleveland publications. The views expressed in this paper are those of the authors and do not represent the views of the Federal Reserve Bank of Cleveland or the Federal Reserve System.

Suggested Citation

Berentsen, Aleksander, Guillaume Rocheteau, and Shouyong Shi. 2004. “Friedman Meets Hosios: Efficiency in Search Models of Money.” Federal Reserve Bank of Cleveland, Working Paper No. 04-08.