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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 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
Contact details of provider: Postal: 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, 1997. "Endogenous Cycles in Competitive Models: An Overview," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(4), pages 1-13, January.
  2. Robert E. Hall, 1981. "Intertemporal Substitution in Consumption," NBER Working Papers 0720, National Bureau of Economic Research, Inc.
  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. 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.
  5. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  6. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
  7. James Bullard, 1992. "Samuelson's model of money with n-period lifetimes," Review, Federal Reserve Bank of St. Louis, issue May, pages 67-82.
  8. Azariadis, Costas & Guesnerie, Roger, 1986. "Sunspots and Cycles," Review of Economic Studies, Wiley Blackwell, vol. 53(5), pages 725-37, October.
  9. Simonovits, Andras, 1999. "Are there cycles in realistic overlapping cohorts models?," Structural Change and Economic Dynamics, Elsevier, vol. 10(2), pages 261-275, June.
  10. Smith, Bruce D, 1991. "Interest on Reserves and Sunspot Equilibria: Friedman's Proposal Reconsidered," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 93-105, January.
  11. Spear, Stephen E., 1984. "Sufficient conditions for the existence of sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 34(2), pages 360-370, December.
  12. 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.
  13. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  14. 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.
  15. 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.
  16. 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.
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