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

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

Abstract

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.

Suggested Citation

  • Jean, Kasie & Rabinovich, Stanislav & Wright, Randall, 2010. "On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright," Journal of Economic Theory, Elsevier, vol. 145(1), pages 392-401, January.
    • Handle: RePEc:eee:jetheo:v:145:y:2010:i:1:p:392-401
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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Kamiya, Kazuya & Shimizu, Takashi, 2006. "Real indeterminacy of stationary equilibria in matching models with divisible money," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 594-617, August.
    6. 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, May.
    7. Wright, Randall, 2010. "A uniqueness proof for monetary steady state," Journal of Economic Theory, Elsevier, vol. 145(1), pages 382-391, January.
    8. 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.
    9. Kazuya Kamiya & Noritsugu Morishita & Takashi Shimizu, 2005. "On the existence of single‐price equilibria in a matching model with divisible money and production cost," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(3), pages 219-231, September.
    10. Albrecht, James W & Axell, Bo, 1984. "An Equilibrium Model of Search Unemployment," Journal of Political Economy, University of Chicago Press, vol. 92(5), pages 824-840, October.
    11. 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.
    12. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    13. Araujo, Luis, 2004. "Social norms and money," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 241-256, March.
    14. Zhou, Ruilin, 2003. "Does commodity money eliminate the indeterminacy of equilibrium?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 176-190, May.
    15. Allen Head & Alok Kumar, 2005. "Price Dispersion, Inflation, And Welfare," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 533-572, May.
    16. 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.
    17. ,, 2008. "Equilibrium concepts in the large-household model," Theoretical Economics, Econometric Society, vol. 3(2), June.
    18. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," Journal of Economic Theory, Elsevier, vol. 107(1), pages 70-94, November.
    19. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    20. 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.
    21. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
    22. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    23. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    24. 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, May.
    25. 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.
    26. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
    27. Galenianos, Manolis & Kircher, Philipp, 2008. "A model of money with multilateral matching," Journal of Monetary Economics, Elsevier, vol. 55(6), pages 1054-1066, September.
    28. 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.
    29. 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.
    30. Dean Corbae & Ted Temzelides & Randall Wright, 2003. "Directed Matching and Monetary Exchange," Econometrica, Econometric Society, vol. 71(3), pages 731-756, May.
    31. 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.
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    2. Kazuya Kamiya & So Kubota & Kayuna Nakajima, 2011. "Efficient estimation and particle filter for max-stable processes," CIRJE F-Series CIRJE-F-792, CIRJE, Faculty of Economics, University of Tokyo.
    3. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
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    5. 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.
    6. Kubota, So & 久保田, 荘, 2019. "Market Structure and Indeterminacy of Stationary Equilibria in a Decentralized Monetary Economy," Discussion paper series HIAS-E-84, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
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    9. Han Han & Benoit Julien & Asgerdur Petursdottir & Liang Wang, 2016. "Credit, Money and Asset Equilibria with Indivisible Goods," Working Papers 201601, University of Hawaii at Manoa, Department of Economics.
    10. Kazuya Kamiya & So Kubota & Kayuna Nakajima, 2017. "Real Indeterminacy of Stationary Monetary Equilibria in Centralized Economies," The Japanese Economic Review, Japanese Economic Association, vol. 68(4), pages 497-520, December.
    11. Chu, Angus C. & Liao, Chih-Hsing & Liu, Xiangbo & Zhang, Mengbo, 2021. "Indeterminacy in a matching model of money with productive government expenditure," International Review of Economics & Finance, Elsevier, vol. 71(C), pages 497-516.
    12. Benoit Julien & Asgerdur Petursdottir & Liang Wang, 2014. "Monetary Equilibria with Indivisible Goods," Working Papers 201428, University of Hawaii at Manoa, Department of Economics.
    13. Dong, Mei & Jiang, Janet Hua, 2014. "Money and price posting under private information," Journal of Economic Theory, Elsevier, vol. 150(C), pages 740-777.
    14. Nejat Anbarci & Richard Dutu & Ching‐Jen Sun, 2019. "On The Timing Of Production Decisions In Monetary Economies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(1), pages 447-472, February.
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    16. Baughman, Garth & Rabinovich, Stanislav, 2021. "Capacity choice, monetary trade, and the cost of inflation," European Economic Review, Elsevier, vol. 134(C).
    17. Kamiya, Kazuya & Kobayashi, Hajime & Shichijo, Tatsuhiro & Shimizu, Takashi, 2021. "On the monetary exchange with multiple equilibrium money holdings distributions: An experimental approach," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 206-232.
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    19. Rabinovich Stanislav, 2017. "Revisiting Multiplicity of Bubble Equilibria in a Search Model with Posted Prices," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 17(1), pages 1-15, January.
    20. Lucy Qian Liu & Liang Wang & Randall Wright, 2015. "Costly Credit and Sticky Prices," Working Papers 201505, University of Hawaii at Manoa, Department of Economics.
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