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On The Existence Of Endogenous Cycles


  • Yves Balasko

    () (University of Geneva)

  • Christian Ghiglino

    () (University of Geneva)


Endogenous business cycles have been known to exist in the overlapping-generations model since quite a long time. The literature seems to imply that these cycles may exist only if individuals show rates of preference for the present that are high enough, and these values have to be so high that they are unrealistic. While this observation is true if preferences are homothetic, we show in this paper that, once the homotheticity requirement is dropped, a sufficient condition for the existence of cycles is that the Engel curve defined for equal prices (therefore taken equal to one) has at least a point where the slope is smaller than one. This condition expresses a mild form of impatience. Given this condition, it is always possible to find a discounted utility function (for any arbitrary given discount rate smaller than one) and positive endowments such that the corresponding overlapping- generations model features cycles of order two.

Suggested Citation

  • Yves Balasko & Christian Ghiglino, "undated". "On The Existence Of Endogenous Cycles," Preprints _001, Theory and Mathematics of the Economy and the Society.
  • Handle: RePEc:wop:tmespr:_001

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    Cited by:

    1. Gomes, Orlando, 2007. "Time preference and cyclical endogenous growth," MPRA Paper 3282, University Library of Munich, Germany.
    2. Davila, Julio, 2001. "Time and Uncertainty in Overlapping Generations Economies," Journal of Economic Theory, Elsevier, vol. 100(2), pages 356-386, October.
    3. Orlando Gomes, 2008. "Time Preference and Cyclical Endogenous Growth in an AK Growth Model," Notas Económicas, Faculty of Economics, University of Coimbra, issue 28, pages 32-55, December.
    4. Jan Tuinstra & Claus Weddepohl, 1999. "On the equivalence between the overlapping-generations model and cyclical general-equilibrium models," Journal of Economics, Springer, vol. 70(2), pages 187-207, June.
    5. Julio Dávila, "undated". "Reducing Overlapping Generations Economies to Finite Economies," Penn CARESS Working Papers 9819996a2b80f99a81bf1509c, Penn Economics Department.
    6. Balasko, Yves, 2003. "Economies with price-dependent preferences," Journal of Economic Theory, Elsevier, vol. 109(2), pages 333-359, April.

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