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Money Inventories in Search Equilibrium

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  • Berentsen, Aleksander

Abstract

The paper relaxes the one unit storage capacity imposed in the basic search-theoretic model of fiat money with indivisible real commodities and indivisible money. Agents can accumulate as much money as they want. It characterizes the stationary distributions of money and shows that for reasonable parameter values (e.g. production cost, discounting, degree of specialization) a monetary equilibrium exists. There are multiple stationary distributions of a given amount of money, which differ in their levels of economic activity and welfare. The model reveals two essential features of money. First, the marginal expected utility of money decreases. Second, there exists an endogenous upper bound on the money holdings: agents willingly produce and sell for money up to this bound and refuse to do so if their money holdings exceed this bound.

Suggested Citation

  • Berentsen, Aleksander, 1998. "Money Inventories in Search Equilibrium," MPRA Paper 68579, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:68579
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    References listed on IDEAS

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    1. Camera, Gabriele & Corbae, Dean, 1999. "Money and Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 985-1008, November.
    2. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    3. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," Journal of Economic Theory, Elsevier, vol. 107(1), pages 70-94, November.
    4. Li, Victor E., 1994. "Inventory accumulation in a search-based monetary economy," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 511-536, December.
    5. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
    6. Green, Edward J. & Zhou, Ruilin, 1998. "A Rudimentary Random-Matching Model with Divisible Money and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 252-271, August.
    7. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    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.
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    Citations

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    Cited by:

    1. Thorsten Hens & Klaus Reiner Schenk‐Hoppé & Bodo Vogt, 2007. "The Great Capitol Hill Baby Sitting Co‐op: Anecdote or Evidence for the Optimum Quantity of Money?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(6), pages 1305-1333, September.
    2. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Russell, 2018. "A tractable model of monetary exchange with ex-post heterogeneity," Theoretical Economics, Econometric Society, vol. 13(3), September.
    3. Klumpp, Tilman, 2021. "Stockpiling and Shortages (the “Toilet Paper Paper")," Working Papers 2021-2, University of Alberta, Department of Economics.
    4. Tsunao Okumura, 2006. "Wealth As A Signal In The Search Model Of Money ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 87-106, February.
    5. 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.
    6. Aleksander Berentsen & Guillaume Rocheteau, 2002. "Money in Bilateral Trade," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(IV), pages 489-506, December.
    7. Young Sik Kim & Manjong Lee, 2012. "Return on Commodity Money, Small Change Problems, and Fiat Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(2‐3), pages 533-549, March.
    8. Thomas Wiseman, 2015. "A Note on the Essentiality of Money under Limited Memory," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 881-893, October.
    9. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," Journal of Economic Theory, Elsevier, vol. 107(1), pages 70-94, November.
    10. Peter Rupert & Martin Schindler & Andrei Shevchenko & Randall Wright, 2000. "The search-theoretic approach to monetary economics: a primer," Economic Review, Federal Reserve Bank of Cleveland, issue Q IV, pages 10-28.
    11. Berentsen, Aleksander & Rocheteau, Guillaume, 2002. "On the efficiency of monetary exchange: how divisibility of money matters," Journal of Monetary Economics, Elsevier, vol. 49(8), pages 1621-1649, November.
    12. Klaus Rainer Schenk-Hopp�, "undated". "Stochastic Tastes and Money in a Neo-Keynesian Economy," IEW - Working Papers 088, Institute for Empirical Research in Economics - University of Zurich.
    13. Mihaela Schaar & Jie Xu & William Zame, 2013. "Efficient online exchange via fiat money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 211-248, October.

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    More about this item

    Keywords

    Money; Search Equilibrium; Decentralized Trade;
    All these keywords.

    JEL classification:

    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit

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