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The distribution of money and prices in an equilibrium with lotteries

In: Recent Developments on Money and Finance

Author

Listed:
  • Aleksander Berentsen

    (University of Basel)

  • Gabriele Camera

    (Purdue University)

  • Christopher Waller

    (University of Notre Dame)

Abstract

Summary We construct a tractable ‘fundamental’ model of money with equilibrium heterogeneity in money balances and prices. We do so by considering randomized monetary trades in a standard search-theoretic model of money where agents can hold multiple units of indivisible “tokens” and can offer lotteries on monetary transfers. By studying a simple trading pattern, we can analytically characterize the monetary distribution. Interestingly, such distributions match those observed in numerically simulated economies with fully divisible money and price heterogeneity.

Suggested Citation

  • Aleksander Berentsen & Gabriele Camera & Christopher Waller, 2006. "The distribution of money and prices in an equilibrium with lotteries," Studies in Economic Theory, in: Charalambos D. Aliprantis & Nicholas C. Yannelis & Gabriele Camera (ed.), Recent Developments on Money and Finance, pages 173-193, Springer.
    • Handle: RePEc:spr:steccp:978-3-540-29500-6_9
    DOI: 10.1007/3-540-29500-3_9
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    References listed on IDEAS

    as
    1. 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.
    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. 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.
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    Citations

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    Cited by:

    1. Andre C. Silva, 2011. "Individual and aggregate money demands," Nova SBE Working Paper Series wp557, Universidade Nova de Lisboa, Nova School of Business and Economics.
    2. Menzio, Guido & Shi, Shouyong & Sun, Hongfei, 2013. "A monetary theory with non-degenerate distributions," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2266-2312.
    3. 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.
    4. Shouyong Shi, 2006. "Viewpoint: A microfoundation of monetary economics," Canadian Journal of Economics, Canadian Economics Association, vol. 39(3), pages 643-688, August.
    5. Aliprantis, C.D. & Camera, G. & Ruscitti, F., 2009. "Monetary equilibrium and the differentiability of the value function," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 454-462, February.
    6. 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.
    7. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    8. Bruno Frey, 2005. "‘‘Just forget it.’’ Memory distortions as bounded rationality," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 4(1), pages 13-25, June.
    9. S…Bastien Lotz & Andrei Shevchenko & Christopher Waller, 2007. "Heterogeneity and Lotteries in Monetary Search Models," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 703-712, March.
    10. Lotz, Sebastien, 2004. "Introducing a new currency: Government policy and prices," European Economic Review, Elsevier, vol. 48(5), pages 959-982, October.
    11. Kazuya Kamiya & Takashi Shimizu, 2007. "Existence of Equilibria in Matching Models of Money: A New Technique," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 447-460, September.
    12. Martin, Antoine & Monnet, Cyril, 2011. "Monetary Policy Implementation Frameworks: A Comparative Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S1), pages 145-189, April.
    13. Young Sik Kim & Manjong Lee, 2009. "Wealth Distribution, Inflation Tax, and Societal Benefits of Illiquid Bonds," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(5), pages 809-830, August.
    14. Kim, Young Sik & Lee, Manjong, 2010. "A model of debit card as a means of payment," Journal of Economic Dynamics and Control, Elsevier, vol. 34(8), pages 1359-1368, August.
    15. Lee, Manjong, 2010. "Carrying cost of money and real effects of denomination structure," Journal of Macroeconomics, Elsevier, vol. 32(1), pages 326-337, March.
    16. Lee, Manjong, 2013. "Coexistence and welfare cost of inflation," Journal of Macroeconomics, Elsevier, vol. 36(C), pages 23-32.
    17. Shouyong Shi, 2006. "A Microfoundation of Monetary Economics," Working Papers tecipa-211, University of Toronto, Department of Economics.

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    More about this item

    Keywords

    Bilateral Trading; Extensive Margin; Price Dispersion; Money Balance; Money Transfer;
    All these keywords.

    JEL classification:

    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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