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Two-Period Cycles in a Three-Period Overlapping Generations Model

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  • Bhattacharya, Joydeep
  • Russell, Steven

Abstract

We study the properties of two-period monetary cycles in simple pure exchange overlapping generations economies in which the households live for three periods. We demonstrate that these economies can support cycles under a much broader -- and, arguably, more plausible -- range of assumptions than the analogous two-period economies. We show that economies that fail the well-known Grandmont [1985] condition can have cycles, and that economies that satisfy the condition can fail to have cycles. In addition, we show that economies can have monetary cycles when they do not have conventional monetary steady states, and when aggregate demand for assets is not decreasing in the real return rate at a gross real rate of unity.

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Bibliographic Info

Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 10250.

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Date of creation: 05 Mar 2002
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Publication status: Published in Journal of Economic Theory, April 2003, vol. 109 no. 2, pp. 378-401
Handle: RePEc:isu:genres:10250

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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Web page: http://www.econ.iastate.edu
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  1. Azariadis, Costas & Guesnerie, Roger, 1986. "Sunspots and Cycles," Review of Economic Studies, Wiley Blackwell, vol. 53(5), pages 725-37, October.
  2. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-57, April.
  3. Reichlin, P., 1990. "Endogenous Cycles with Long Lived Agents," CORE Discussion Papers 1990048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Spear, Stephen E., 1984. "Sufficient conditions for the existence of sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 34(2), pages 360-370, December.
  5. Michele Boldrin & Michael Woodford, 1988. "Equilibruim Models Displaying Endogenous Fluctuations and Chaos: A Survey," UCLA Economics Working Papers 530, UCLA Department of Economics.
  6. Aiyagari, S Rao, 1989. "Can There Be Short-Period Deterministic Cycles When People Are Long Lived?," The Quarterly Journal of Economics, MIT Press, vol. 104(1), pages 163-85, February.
  7. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
  8. James Peck, 1986. "On the Existence of Sunspot Equilibria in an Overlapping Generations Model," Discussion Papers 678, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Bullard, James & Russell, Steven, 1999. "An empirically plausible model of low real interest rates and unbacked government debt," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 477-508, December.
  10. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
  11. Reichlin Pietro, 1997. "Endogenous Cycles in Competitive Models: An Overview," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(4), pages 1-13, January.
  12. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  13. James Bullard, 1992. "Samuelson's model of money with n-period lifetimes," Review, Federal Reserve Bank of St. Louis, issue May, pages 67-82.
  14. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  15. Simonovits, Andras, 1999. "Are there cycles in realistic overlapping cohorts models?," Structural Change and Economic Dynamics, Elsevier, vol. 10(2), pages 261-275, June.
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Cited by:
  1. Bunzel, Helle, 2006. "Habit Persistence, Money, and Overlapping Generations," Staff General Research Papers 12405, Iowa State University, Department of Economics.
  2. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2008. "Endogenous Retirement and Monetary Cycles," Post-Print hal-00424801, HAL.
  3. Koskela, Erkki & Puhakka, Mikko, 2007. "Stone-Geary preferences in overlapping generations economies under pure exchange: A note," Journal of Macroeconomics, Elsevier, vol. 29(4), pages 976-982, December.
  4. Hueth, Brent & Ibarburu, Maro & Kliebenstein, James, 2006. "Business Organization and Coordination in Marketing Specialty Hogs: A Comparative Analysis of Two Firms from Iowa," Staff General Research Papers 11328, Iowa State University, Department of Economics.
  5. Richard C. Barnett & Joydeep Bhattacharya, 2007. "Rejuveniles and Growth," Economics Working Papers 2007-11, School of Economics and Management, University of Aarhus.
  6. Fabrizio Orrego, 2014. "Habit formation and indeterminacy in overlapping generations models," Economic Theory, Springer, vol. 55(1), pages 225-241, January.
  7. Hennessy, David A. & Lapan, Harvey E., 2004. "Market Cycles for a Non-Storable Product Under Adjustment Costs," Staff General Research Papers 12208, Iowa State University, Department of Economics.
  8. Peck, James & Spear, Stephen E., 2003. "Introduction to a Festschrift for Karl Shell," Journal of Economic Theory, Elsevier, vol. 109(2), pages 153-155, April.

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