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

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  • Kazuya Kamiya

    (Faculty of Economics, University of Tokyo)

  • Takashi Shimizu

    (Faculty of Economics, 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.

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Bibliographic Info

Paper provided by CIRJE, Faculty of Economics, University of Tokyo in its series CIRJE F-Series with number CIRJE-F-765.

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Length: 37pages
Date of creation: Oct 2010
Date of revision:
Handle: RePEc:tky:fseres:2010cf765

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  1. Blanchard, Olivier J. & Summers, Lawrence H., 1987. "Hysteresis in unemployment," European Economic Review, Elsevier, vol. 31(1-2), pages 288-295.
  2. 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.
  3. 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 1009-38, November.
  4. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-20, April.
  5. Baldwin, Richard, 1988. "Hyteresis in Import Prices: The Beachhead Effect," American Economic Review, American Economic Association, vol. 78(4), pages 773-85, September.
  6. 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.
  7. Kazuya Kamiya & Takashi Shimizu, 2005. "On the Role of Tax-Subsidy Scheme in Money Search Models," CIRJE F-Series CIRJE-F-323, CIRJE, Faculty of Economics, University of Tokyo.
  8. 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.
  9. Olivier J. Blanchard & Lawrence H. Summers, 1986. "Hysteresis and the European Unemployment Problem," NBER Working Papers 1950, National Bureau of Economic Research, Inc.
  10. 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.
  11. 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, 03.
  12. Franz, Wolfgang, 1990. "Hysteresis in Economic Relationships: An Overview," Empirical Economics, Springer, vol. 15(2), pages 109-25.
  13. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August.
  14. 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, 02.
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