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

  • Bhattacharya, Joydeep
  • Russell, Steven

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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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers Archive 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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Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070

Phone: +1 515.294.6741
Fax: +1 515.294.0221
Web page: http://www.econ.iastate.edu
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  1. Reichlin, Pietro, 1992. "Endogenous cycles with long-lived agents," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 243-266, April.
  2. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
  3. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  4. 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.
  5. James B. Bullard, 1992. "Samuelson's model of money with n-period lifetimes," Review, Federal Reserve Bank of St. Louis, issue May, pages 67-82.
  6. Peck, James, 1988. "On the existence of sunspot equilibria in an overlapping generations model," Journal of Economic Theory, Elsevier, vol. 44(1), pages 19-42, February.
  7. Bruce D. Smith, 1991. "Interest on Reserves and Sunspot Equilibria: Friedman's Proposal Reconsidered," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 93-105.
  8. S. Rao Aiyagari, 1988. "Can there be short-period deterministic cycles when people are long lived?," Staff Report 114, Federal Reserve Bank of Minneapolis.
  9. Reichlin Pietro, 1997. "Endogenous Cycles in Competitive Models: An Overview," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(4), pages 1-13, January.
  10. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-57, April.
  11. Boldrin, Michele & Woodford, Michael, 1990. "Equilibrium models displaying endogenous fluctuations and chaos : A survey," Journal of Monetary Economics, Elsevier, vol. 25(2), pages 189-222, March.
  12. 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.
  13. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 725-737.
  14. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  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.
  16. Spear, Stephen E., 1984. "Sufficient conditions for the existence of sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 34(2), pages 360-370, December.
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