IDEAS home Printed from https://ideas.repec.org/p/tky/fseres/2005cf390.html
   My bibliography  Save this paper

Real Indeterminacy of Stationary Equilibria in Matching Models with Divisible Money

Author

Listed:
  • Kazuya Kamiya

    (Faculty of Economics, University of Tokyo)

  • Takashi Shimizu

    (Faculty of Economics, Kansai University)

Abstract

In this paper, it is shown that real indeterminacy of stationary equilibria generically arises in most matching models with perfectly divisible fiat money. In other words, the real indeterminacy follows from the condition for stationarity of money holdings, and surprisingly it has nothing to do with the other specifications, e.g., the bargaining procedures, of the models. Thus if we assume the divisibility of money in money search models, it becomes quite difficult to make accurate predictions of the effects of some policies.

Suggested Citation

  • 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.
    • Handle: RePEc:tky:fseres:2005cf390
    as

    Download full text from publisher

    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2005/2005cf390.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
    3. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    4. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    5. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Zhou, Ruilin, 2003. "Does commodity money eliminate the indeterminacy of equilibrium?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 176-190, May.
    11. Nishimura, Kazuo & Shimomura, Koji, 2002. "Trade and Indeterminacy in a Dynamic General Equilibrium Model," Journal of Economic Theory, Elsevier, vol. 105(1), pages 244-260, July.
    12. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    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. 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.
    15. 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.
    16. 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.
    17. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
    18. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    19. Laan, Gerard van der, 1982. "Simplicial approximation of unemployment equilibria," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 83-97, January.
    20. 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.
    21. Herings, P. Jean-Jacques, 1998. "On the existence of a continuum of constrained equilibria1," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 257-273, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    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. 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.
    4. 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.
    5. Kamiya, Kazuya & Talman, Dolf, 2009. "Matching models with a conservation law: The existence and global structure of the set of stationary equilibria," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 397-413, May.
    6. 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.
    7. Li, Yiting & Matsui, Akihiko, 2009. "A theory of international currency: Competition and discipline," Journal of the Japanese and International Economies, Elsevier, vol. 23(4), pages 407-426, December.
    8. 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.
    9. repec:bla:jecrev:v:68:y:2017:i:4:p:497-520 is not listed on IDEAS
    10. 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.

    More about this item

    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:tky:fseres:2005cf390. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CIRJE administrative office). General contact details of provider: http://edirc.repec.org/data/ritokjp.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.