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Individual and Aggregate Real Balances in a Random Matching Model

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Author Info
Ruilin Zhou (University of Pennsylvania and Federal Reserve Bank of Minneapolis)

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Abstract

This paper investigates the existence and properties of stationary single-price equilibrium in a monetary random matching model where agents can hold an arbitrary amount of divisible money, and where production is costly. For some parameter values of the model, there exists a continuum of single-price equilibria indexed by the aggregate real-money balance. At such an equilibrium, an agent accumulates money only up to a certain point where his marginal value of holding money drops below the cost of production. Different upper bounds on money holdings imply different distributions of money holdings. The coexistence of multiple equilibria with distinct upper bounds but identical aggregate real-money balances suggests the importance of money distribution in determining trade velocity, production and welfare.

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Paper provided by EconWPA in its series GE, Growth, Math methods with number 9612001.

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Date of creation: 23 Dec 1996
Date of revision: 23 Dec 1996
Handle: RePEc:wpa:wuwpge:9612001

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Web page: http://129.3.20.41

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Find related papers by JEL classification:
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

References listed on IDEAS
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. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March. [Downloadable!] (restricted)
  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, 08. [Downloadable!] (restricted)
  3. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-41, February. [Downloadable!] (restricted)
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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. Zhu, Tao, 2002. "Existence of Monetary Steady States in a Matching Model: Indivisible Money," Working Papers 5-02-1, Pennsylvania State University, Department of Economics. [Downloadable!]
  2. Irina A. Telyukova & Randall Wright, 2007. "A model of money and credit, with application to the credit card debt puzzle," Working Paper 0711, Federal Reserve Bank of Cleveland. [Downloadable!]
    Other versions:
  3. Peter Rupert & Martin Schindler & Randall Wright, 2000. "Generalized search-theoretic models of monetary exchange," Working Paper 0005, Federal Reserve Bank of Cleveland. [Downloadable!]
    Other versions:
  4. 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:
  5. Tsunao Okumura, 2005. "Wealth as a Signal in the Search Model of Money," Discussion Papers 1401, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  6. Rocheteau, Guillaume & Rupert, Peter & Shell, Karl & Wright, Randall, 2005. "General Equilibrium with Nonconvexities, Sunspots, and Money," Working Papers 05-16, Cornell University, Center for Analytic Economics. [Downloadable!]
    Other versions:
  7. Kazuya Kamiya & Dolf Talman, 2003. "Random Matching Models and Money: The Global Structure and Approximation of the Set of Stationary Equilibria," CIRJE F-Series CIRJE-F-220, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
    Other versions:
  8. Miquel Faig, 2001. "A Search Theory of Money and Commerce with Neoclassical Production," Economics Working Papers 567, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  9. Ruilin Zhou, 1999. "Does commodity money eliminate the indeterminacy of equilibria?," Working Paper Series WP-99-15, Federal Reserve Bank of Chicago. [Downloadable!]
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  10. Kazuya Kamiya & Noritsugu Morishita & Takashi Shimizu, 2004. "On the Existence of Single-Price Equilibria in a Matching Model with Divisible Money and Production Cost," CIRJE F-Series CIRJE-F-283, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  11. Guillaume Rocheteau & Peter Rupert & Randall Wright, 2007. "Inflation and Unemployment in General Equilibrium," University of California at Santa Barbara, Economics Working Paper Series 07-07, Department of Economics, UC Santa Barbara. [Downloadable!]
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  12. Scott J. Dressler, 2009. "Money Holdings, Inflation, and Welfare in a Competitive Market," Villanova School of Business Department of Economics and Statistics Working Paper Series 2, Villanova School of Business Department of Economics and Statistics. [Downloadable!]
  13. Kazuya Kamiya & Takashi Shimizu, 2009. "Stationary Monetary Equilibria with Strictly Increasing Value Functions and Non-Discrete Money Holdings Distributions: An Indeterminacy Result," CIRJE F-Series CIRJE-F-615, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  14. Aleksander Berentsen & Gabriele Camera & Christopher Waller, . "The Distribution of Money and Prices in an Equilibrium with Lotteries," IEW - Working Papers iewwp174, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  15. 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:
  16. Edward J. Green & Ruilin Zhou, 2000. "Dynamic monetary equilibrium in a random-matching economy," Working Paper Series WP-00-1, Federal Reserve Bank of Chicago. [Downloadable!]
    Other versions:
  17. Edward J. Green & Ruilin Zhou, 1999. "Monetary Equilibrium from an Initial State: The Case Without Discounting," Macroeconomics 9902010, EconWPA. [Downloadable!]
  18. Kazuya Kamiya & Takashi Shimizu, 2005. "On the Role of Tax-Subsidy Scheme in Money Search Models," CIRJE F-Series CIRJE-F-323, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  19. Kazuya Kamiya & Takashi Shimizu, 2004. "Real Indeterminacy of Stationary Equilibria in Matching Models with Media of Exchange," CIRJE F-Series CIRJE-F-167, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  20. Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, . "Friedman Meets Hosios: Efficiency in Search Models of Money," IEW - Working Papers iewwp154, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  21. Kazuya Kamiya & Takashi Shimizu, 2006. "A Dynamic General Equilibrium Model with Centralized Auction Markets," CIRJE F-Series CIRJE-F-417, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  22. Kazuya Kamiya & Takashi Shimizu, 2005. "A New Technique for Proving the Existence of Monetary Equilibria in Matching Models with Divisible Money," CIRJE F-Series CIRJE-F-347, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
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