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Optimal growth and cycles in overlapping generations models (*)

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  • Philippe Michel

    (I.U.F., L.E.Q.A.M.-G.R.E.Q.A.M., Université de la Méditerranée, F-13002 Marseille, FRANCE)

  • Alain Venditti

    (G.R.E.Q.E.-G.R.E.Q.A.M., C.N.R.S., F-13002 Marseille, FRANCE)

Abstract

This paper investigates the dynamical properties of optimal paths in one-sector overlapping generations models without assuming that the utility function of the representative agent is separable. When the utility function is separable, the optimal growth paths monotonically converges toward the modified golden rule steady state. In the non-separable case, we show that the optimal growth path may be oscillating and optimal twoperiod cycles may exist. Applying these results to the model with altruism, we show that the condition of operative bequest is fully compatible with endogeneous fluctuations provided that the discount factor is close enough to one. All our results are illustrated using Cobb-Douglas utility and production functions.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 9 (1997)
Issue (Month): 3 ()
Pages: 511-528

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Handle: RePEc:spr:joecth:v:9:y:1997:i:3:p:511-528

Note: Received: March 20, 1995; revised version December 1, 1995
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Cited by:
  1. Fabrizio Orrego, 2014. "Habit formation and indeterminacy in overlapping generations models," Economic Theory, Springer, vol. 55(1), pages 225-241, January.
  2. Michel, Philippe & Thibault, Emmanuel & Vidal, Jean-Pierre, 2006. "Intergenerational altruism and neoclassical growth models," Handbook on the Economics of Giving, Reciprocity and Altruism, Elsevier.
  3. Wilfredo Leiva, 1999. "Adaptive learning in models with lagged variables," Economics Working Papers 413, Department of Economics and Business, Universitat Pompeu Fabra.
  4. García-Belenguer, Fernando, 2006. "Stability, Global Dynamics and Markov Equilibrium in Models of Economic Growth," Working Papers in Economic Theory 2006/05, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
  5. Mino, Kazuo & Koji, Shimomura & Wang, Ping, 2003. "Occupational Choice and Dynamic Indeterminacy," MPRA Paper 17063, University Library of Munich, Germany.
  6. Croix, David de la & Michel, Philippe, 1999. "Optimal growth when tastes are inherited," Journal of Economic Dynamics and Control, Elsevier, vol. 23(4), pages 519-537, February.
  7. Sarkar, Jayanta, 2007. "Growth dynamics in a model of endogenous time preference," International Review of Economics & Finance, Elsevier, vol. 16(4), pages 528-542.
  8. Hippolyte d’Albis & Emmanuelle Augeraud-Véron, 2007. "Balanced cycles in an OLG model with a continuum of finitely-lived individuals," Economic Theory, Springer, vol. 30(1), pages 181-186, January.
  9. Garcia-Belenguer, Fernando, 2007. "Stability, global dynamics and Markov equilibrium in models of endogenous economic growth," Journal of Economic Theory, Elsevier, vol. 136(1), pages 392-416, September.
  10. Been-Lon Chen & Shun-Fa Lee, 2005. "Congestible Public Goods and Indeterminacy in a Two-sector Endogenous Growth Model," IEAS Working Paper : academic research 05-A003, Institute of Economics, Academia Sinica, Taipei, Taiwan.
  11. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.

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