IDEAS home Printed from https://ideas.repec.org/p/cfi/fseres/cf232.html
   My bibliography  Save this paper

Hysteresis in Dynamic General Equilibrium Models with Cash-in-Advance Constraints

Author

Listed:
  • Kazuya Kamiya

    (The University of Technology Sydney)

  • Takashi Shimizu

    (Kansai University)

Abstract

In this paper, we investigate equilibrium cycles in dynamic general equilibrium models with cash-in-advance constraints. Our findings are two-fold. First, in such models, if an equilibrium cycle exists, then there also exists a continuum of equilibrium cycles in its neighborhood. Second, the limit cycle, to which a dynamic path converges, varies continuously according to the initial distribution of the money holdings. Thus, temporary shocks that affect the initial distribution have permanent effects in such models; that is, such models exhibit hysteresis. Furthermore, we also explore the logic behind the results.

Suggested Citation

  • Kazuya Kamiya & Takashi Shimizu, 2010. "Hysteresis in Dynamic General Equilibrium Models with Cash-in-Advance Constraints," CARF F-Series CARF-F-232, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    • Handle: RePEc:cfi:fseres:cf232
    as

    Download full text from publisher

    File URL: https://www.carf.e.u-tokyo.ac.jp/old/pdf/workingpaper/fseries/242.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Olivier J. Blanchard & Lawrence H. Summers, 1986. "Hysteresis and the European Unemployment Problem," NBER Chapters, in: NBER Macroeconomics Annual 1986, Volume 1, pages 15-90, National Bureau of Economic Research, Inc.
    2. 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.
    3. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    4. Baldwin, Richard, 1988. "Hyteresis in Import Prices: The Beachhead Effect," American Economic Review, American Economic Association, vol. 78(4), pages 773-785, September.
    5. Franz, Wolfgang, 1990. "Hysteresis in Economic Relationships: An Overview," Empirical Economics, Springer, vol. 15(2), pages 109-125.
    6. 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.
    7. Blanchard, Olivier J. & Summers, Lawrence H., 1987. "Hysteresis in unemployment," European Economic Review, Elsevier, vol. 31(1-2), pages 288-295.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    13. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
    14. Mitra, Tapan & Nishimura, Kazuo, 2001. "Discounting and Long-Run Behavior: Global Bifurcation Analysis of a Family of Dynamical Systems," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 256-293, January.
    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. 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.
    2. 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.
    3. 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.
    4. Kazuya Kamiya & Takashi Shimizu, 2006. "A Dynamic General Equilibrium Model with Centralized Auction Markets," CIRJE F-Series CIRJE-F-417, CIRJE, Faculty of Economics, University of Tokyo.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Kazuya Kamiya, 2019. "On the Real Determinacy and Indeterminacy of Stationary Equilibria in Monetary Models," Discussion Paper Series DP2019-03, Research Institute for Economics & Business Administration, Kobe University, revised Mar 2021.
    12. 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.
    13. 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.
    14. Kazuya Kamiya & Takashi Shimizu, 2005. "On the Role of Tax-Subsidy Scheme in Money Search Models (Subsequently published in "International Economic Review" 48, 2007, 575-606. )," CARF F-Series CARF-F-025, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    15. 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.
    16. 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.
    17. 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.
    18. Gabriel P. Mathy, 2018. "Hysteresis and persistent long-term unemployment: the American Beveridge Curve of the Great Depression and World War II," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 12(1), pages 127-152, January.
    19. Etro, Federico, 2017. "Research in economics and macroeconomics," Research in Economics, Elsevier, vol. 71(3), pages 373-383.
    20. Franz, Wolfgang, 1990. "Hysteresis in Economic Relationships: An Overview," Empirical Economics, Springer, vol. 15(2), pages 109-125.

    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:cfi:fseres:cf232. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/catokjp.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.