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On the Distribution of Money Holdings in a Random-Matching Model

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  • Aleksander Berentsen

    (University of Basel, Switzerland)

Abstract

This article studies stationary and nonstationary distributions of money holdings in a random-matching model. The first part characterizes the stationary distributions of money holdings and derives the optimum quantity of money. The second part considers nonstationary distributions of the optimum quantity of money to show that if the production costs are not too large, any distribution of the optimum quantity of money converges asymptotically to the uniform distribution. Copyright Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association

Suggested Citation

  • 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.
    • Handle: RePEc:ier:iecrev:v:43:y:2002:i:3:p:945-954
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    1. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," Journal of Economic Theory, Elsevier, vol. 107(1), pages 70-94, November.
    2. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, August.
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    7. 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.
    8. Taber, Alexander & Wallace, Neil, 1999. "A Matching Model with Bounded Holdings of Indivisible Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 961-984, November.
    9. Edward J. Green & Ruilin Zhou, 1999. "Monetary Equilibrium from an Initial State: The Case Without Discounting," Macroeconomics 9902010, University Library of Munich, Germany.
    10. 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 1009-1038, November.
    11. Shi, Shouyong, 1999. "Search, inflation and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 81-103, August.
    12. Berentsen, Aleksander, 2000. "Money Inventories in Search Equilibrium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(2), pages 168-178, May.
    13. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
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    17. Donald A. Walker (ed.), 2000. "Equilibrium," Books, Edward Elgar Publishing, volume 0, number 1585.
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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. Guilherme Carmona, 2021. "On the optimality of monetary trading," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1121-1160, April.
    3. Berentsen, Aleksander, 2000. "Money Inventories in Search Equilibrium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(2), pages 168-178, May.
    4. Aleksander Berentsen & Gabriele Camera & C hristopher W aller, 2005. "The Distribution Of Money Balances And The Nonneutrality Of Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 465-487, May.
    5. Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, 2007. "Friedman Meets Hosios: Efficiency in Search Models of Money," Economic Journal, Royal Economic Society, vol. 117(516), pages 174-195, January.
    6. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    7. Burdett, Kenneth & Trejos, Alberto & Wright, Randall, 2017. "A new suggestion for simplifying the theory of money," Journal of Economic Theory, Elsevier, vol. 172(C), pages 423-450.
    8. Nosal, Ed & Wong, Yuet-Yee & Wright, Randall, 2019. "Intermediation in markets for goods and markets for assets," Journal of Economic Theory, Elsevier, vol. 183(C), pages 876-906.
    9. 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.
    10. Trejos, Alberto & Wright, Randall, 2016. "Search-based models of money and finance: An integrated approach," Journal of Economic Theory, Elsevier, vol. 164(C), pages 10-31.
    11. 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.
    12. Anthonisen, Niels, 2013. "On the long-run relationship between inflation and output in a spatial overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2500-2524.
    13. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    14. Allan Hernández, 2008. "Los modelos del dinero endógeno: la evolución de los modelos monetarios de búsqueda," Revista de Economía del Rosario, Universidad del Rosario, November.
    15. Andrés Álvarez & Vincent Bignon, 2013. "L. Walras and C. Menger: two ways on the path of modern monetary theory," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 20(1), pages 89-124, February.
    16. 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.
    17. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    18. 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.
    19. 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.

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    More about this item

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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