IDEAS home Printed from https://ideas.repec.org/p/hit/hiasdp/hias-e-84.html
   My bibliography  Save this paper

Market Structure and Indeterminacy of Stationary Equilibria in a Decentralized Monetary Economy

Author

Listed:
  • Kubota, So
  • 久保田, 荘

Abstract

This study investigates which market structure gives rise to indeterminacy of stationary equilibria in a decentralized economy with non-degenerate distributions of money holdings. I develop a price-posting model with divisible money and then, examine two alternative markets: a pairwise random matching market and a many-to-many exchange. Importantly, the former market balances the number of matched buyers and sellers by definition. As a result, indeterminacy arises under the pairwise matching while a unique equilibrium exists in the many-to-many market. This balancing assumption also leads to the indeterminacy in a Walrasian market.

Suggested Citation

  • 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.
    • Handle: RePEc:hit:hiasdp:hias-e-84
    as

    Download full text from publisher

    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/30105/070_hiasDP-E-84.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wallace, Neil, 1998. "Introduction to Modeling Money and Studying Monetary Policy," Journal of Economic Theory, Elsevier, vol. 81(2), pages 223-231, August.
    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, August.
    3. Makoto Watanabe & Vyacheslav Arbuzov & Yu Awaya & Hiroki Fukai, "undated". "Endogenous Repo Cycles," Tinbergen Institute Discussion Papers 19-019/VII, Tinbergen Institute.
    4. 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.
    5. Camera, Gabriele & Corbae, Dean, 1999. "Money and Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 985-1008, November.
    6. Kazuya Kamiya & Takashi Shimizu, 2013. "Dynamic Auction Markets with Fiat Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(2‐3), pages 349-378, March.
    7. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Tsz-Nga, 2021. "An heterogeneous-agent New-Monetarist model with an application to unemployment," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 64-90.
    8. 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.
    9. Matthias Doepke & Martin Schneider, 2006. "Inflation and the Redistribution of Nominal Wealth," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1069-1097, December.
    10. 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.
    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, May.
    12. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    13. 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.
    14. Peter Howitt, 2005. "Beyond Search: Fiat Money In Organized Exchange," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 405-429, May.
    15. Chiu, Jonathan & Molico, Miguel, 2010. "Liquidity, redistribution, and the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 57(4), pages 428-438, May.
    16. Araujo, Luis, 2004. "Social norms and money," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 241-256, March.
    17. Jonathan Chiu & Miguel Molico, 2011. "Uncertainty, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 487-512, October.
    18. Zhou, Ruilin, 2003. "Does commodity money eliminate the indeterminacy of equilibrium?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 176-190, May.
    19. Mas-Colell, Andreu (ed.), 1982. "Noncooperative Approaches to the Theory of Perfect Competition," Elsevier Monographs, Elsevier, edition 1, number 9780124767508.
    20. Hideko Ishihara, 2010. "Existence of a continuum of equilibria in a monetary random-matching model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(4), pages 886-898, October.
    21. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    22. 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.
    23. 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.
    24. 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.
    25. Kamiya, Kazuya & Shimizu, Takashi, 2011. "Stationary monetary equilibria with strictly increasing value functions and non-discrete money holdings distributions: An indeterminacy result," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2140-2150, September.
    26. Akihiko Matsui & Takashi Shimizu, 2005. "A Theory Of Money And Marketplaces," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(1), pages 35-59, February.
    27. Julien, BenoI^t & Kennes, John & King, Ian, 2008. "Bidding for money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 196-217, September.
    28. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    29. repec:mcb:jmoncb:v:45:y:2013:i::p:349-378 is not listed on IDEAS
    30. 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.
    31. 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.
    32. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1103-1144.
    33. Dean Corbae & Ted Temzelides & Randall Wright, 2003. "Directed Matching and Monetary Exchange," Econometrica, Econometric Society, vol. 71(3), pages 731-756, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    4. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Russell, 2018. "A tractable model of monetary exchange with ex-post heterogeneity," Theoretical Economics, Econometric Society, vol. 13(3), September.
    5. 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.
    6. Guillaume Rocheteau & Pierre-Olivier Weill & Tsz-Nga Wong, 2015. "Working through the Distribution: Money in the Short and Long Run," NBER Working Papers 21779, National Bureau of Economic Research, Inc.
    7. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Tsz-Nga, 2021. "An heterogeneous-agent New-Monetarist model with an application to unemployment," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 64-90.
    8. 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.
    9. Scott J. Dressler, 2011. "A Long-Run, Short-Run and Politico-Economic Analysis of the Welfare Costs of Inflation," Villanova School of Business Department of Economics and Statistics Working Paper Series 16, Villanova School of Business Department of Economics and Statistics.
    10. 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.
    11. Manolis Galenianos & Philipp Kircher, 2005. "A Model of Money with Multilateral Matching, Second Version," PIER Working Paper Archive 07-004, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Nov 2006.
    12. Tsz-Nga Wong & Pierre-Olivier Weill & Guillaume Rocheteau, 2015. "Long-Run and Short-Run Effects of Money Injections," 2015 Meeting Papers 793, Society for Economic Dynamics.
    13. Randall Wright, 2005. "Introduction to \\"Models of Monetary Economies II: The Next Generation\\"," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 29(Oct), pages 2-9.
    14. Mahmoudi, Babak, 2013. "Open-Market Operations, Asset Distributions, and Endogenous Market Segmentation," MPRA Paper 50089, University Library of Munich, Germany.
    15. Kazuya Kamiya & Takashi Shimizu, 2010. "Hysteresis in Dynamic General Equilibrium Models with Cash-in-Advance Constraints," CIRJE F-Series CIRJE-F-765, CIRJE, Faculty of Economics, University of Tokyo.
    16. Galenianos, Manolis & Kircher, Philipp, 2008. "A model of money with multilateral matching," Journal of Monetary Economics, Elsevier, vol. 55(6), pages 1054-1066, September.
    17. Kazuya Kamiya & Hajime Kobayashi & Tatsuhiro Shichijo & Takashi Shimizu, 2017. "Equilibrium Selection in Monetary Search Models: An Experimental Approach," Discussion Paper Series DP2017-03, Research Institute for Economics & Business Administration, Kobe University.
    18. 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.
    19. Guillaume Rocheteau & Peter Rupert & Randall Wright, 2007. "Inflation and Unemployment in General Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(4), pages 837-855, December.
    20. Scott J. Dressler, 2011. "Money Holdings, Inflation, And Welfare In A Competitive Market," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(2), pages 407-423, May.

    More about this item

    Keywords

    search theory; money; indeterminacy;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hit:hiasdp:hias-e-84. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Digital Resources Section, Hitotsubashi University Library (email available below). General contact details of provider: https://edirc.repec.org/data/ashitjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.