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On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright

  • Jean, Kasie
  • Rabinovich, Stanislav
  • Wright, Randall

Green and Zhou relax the assumption, made in early search-based models of monetary exchange, of indivisible money. Their paper and various extensions make much technical progress, and derive some interesting substantive results. In particular, they show there is an indeterminacy of steady-state monetary equilibria. We reconsider this result in the framework of Lagos and Wright, which is more tractable. We show that a similar multiplicity arises, and is much easier to derive and understand. We also compare the results to those in related nonmonetary models, and discuss how they depend on details, including the number of agents and the timing.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 145 (2010)
Issue (Month): 1 (January)
Pages: 392-401

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Handle: RePEc:eee:jetheo:v:145:y:2010:i:1:p:392-401
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  3. 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.
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  5. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," MPRA Paper 68582, University Library of Munich, Germany.
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  7. Albrecht, James & Axell, Bo, 1983. "An Equilibrium Model of Search Unemployment," Working Papers 83-10, C.V. Starr Center for Applied Economics, New York University.
  8. Kazuya Kamiya & Takashi Sato, 2004. "Equilibrium Price Dispersion in a Matching Model with Divisible Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 413-430, 05.
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  12. Zhou, Ruilin, 2003. "Does commodity money eliminate the indeterminacy of equilibrium?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 176-190, May.
  13. Araujo, Luis, 2004. "Social norms and money," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 241-256, March.
  14. Ruilin Zhou, 1996. "Individual and aggregate real balances in a random matching model," Staff Report 222, Federal Reserve Bank of Minneapolis.
  15. 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.
  16. Shouyong Shi, 1996. "A Divisible Search Model of Fiat Money," Working Papers 930, Queen's University, Department of Economics.
  17. 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.
  18. 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.
  19. Zhu, Tao, 2008. "Equilibrium concepts in the large-household model," Theoretical Economics, Econometric Society, vol. 3(2), June.
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  21. Elisabeth Curtis & Randall Wright, 2002. "Price setting, price dispersion, and the value of money - or - The law of two prices," Working Paper 0209, Federal Reserve Bank of Cleveland.
  22. Aliprantis, C.D. & Camera, Gabriele & Puzzello, D., 2005. "Anonymous Markets and Monetary Trading," Purdue University Economics Working Papers 1179, Purdue University, Department of Economics.
  23. 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.
  24. Rocheteau, Guillaume & Rupert, Peter & Shell, Karl & Wright, Randall, 2008. "General equilibrium with nonconvexities and money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 294-317, September.
  25. Kazuya Kamiya & Takashi Shimizu, 2005. "Real Indeterminacy of Stationary Equilibria in Matching Models with Divisible Money," CIRJE F-Series CIRJE-F-390, CIRJE, Faculty of Economics, University of Tokyo.
  26. Dean Corbae & Ted Temzelides & Randall Wright, 2003. "Directed Matching and Monetary Exchange," Econometrica, Econometric Society, vol. 71(3), pages 731-756, 05.
  27. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
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