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

Listed author(s):
  • 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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  1. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  2. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  3. Allen Head & Alok Kumar, 2004. "Price Dispersion, Inflation and Welfare," NajEcon Working Paper Reviews 122247000000000241, www.najecon.org.
  4. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
  5. Manolis Galenianos & Philipp Kircher, 2008. "A model of money with multilateral matching," LSE Research Online Documents on Economics 29701, London School of Economics and Political Science, LSE Library.
  6. 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.
  7. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
  8. Araujo, Luis, 2004. "Social norms and money," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 241-256, March.
  9. Curtis, Elisabeth & Wright, Randall, 2004. "Price setting, price dispersion, and the value of money: or, the law of two prices," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1599-1621, November.
  10. Wright, Randall, 2010. "A uniqueness proof for monetary steady state," Journal of Economic Theory, Elsevier, vol. 145(1), pages 382-391, January.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. Zhou, Ruilin, 2003. "Does commodity money eliminate the indeterminacy of equilibrium?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 176-190, May.
  16. 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.
  17. Zhu, Tao, 2008. "Equilibrium concepts in the large-household model," Theoretical Economics, Econometric Society, vol. 3(2), June.
  18. 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.
  19. D. Aliprantis, C. & Camera, G. & Puzzello, D., 2007. "Anonymous markets and monetary trading," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1905-1928, October.
  20. Albrecht, James W & Axell, Bo, 1983. "An Equilibrium Model of Search Unemployment," Working Paper Series 99, Research Institute of Industrial Economics.
  21. Randall Wright & Guillame Rocheteau, 2003. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Levine's Bibliography 666156000000000302, UCLA Department of Economics.
  22. Edward J. Green & Ruilin Zhou, 1996. "A Rudimentary Random-Matching Model with Divisible Money and Prices," GE, Growth, Math methods 9606001, EconWPA, revised 25 Jul 1996.
  23. 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.
  24. 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.
  25. Kazuya Kamiya & Takashi Shimizu, 2005. "A New Technique for Proving the Existence of Monetary Equilibria in Matching Models with Divisible Money," CARF F-Series CARF-F-037, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  26. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," MPRA Paper 68582, University Library of Munich, Germany.
  27. Kazuya Kamiya & Takashi Shimizu, 2007. "On The Role Of Tax Subsidy Scheme In Money Search Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(2), pages 575-606, 05.
  28. 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.
  29. Dean Corbae & Ted Temzelides & Randall Wright, 2003. "Directed Matching and Monetary Exchange," Econometrica, Econometric Society, vol. 71(3), pages 731-756, 05.
  30. Wallace, Neil, 2001. "Whither Monetary Economics?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 847-869, November.
  31. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
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