IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v9y1997i3p511-528.html
   My bibliography  Save this article

Optimal growth and cycles in overlapping generations models (*)

Author

Listed:
  • 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.

Suggested Citation

  • Philippe Michel & Alain Venditti, 1997. "Optimal growth and cycles in overlapping generations models (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(3), pages 511-528.
  • Handle: RePEc:spr:joecth:v:9:y:1997:i:3:p:511-528
    Note: Received: March 20, 1995; revised version December 1, 1995
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Michel, Philippe & Thibault, Emmanuel & Vidal, Jean-Pierre, 2006. "Intergenerational altruism and neoclassical growth models," Handbook on the Economics of Giving, Reciprocity and Altruism, Elsevier.
    2. 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.
    3. Kazuo Mino & Koji Shimomura & Ping Wang, 2005. "Occupational Choice and Dynamic Indeterminacy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(1), pages 138-153, January.
    4. 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.
    5. Wilfredo Leiva, 1999. "Adaptive learning in models with lagged variables," Economics Working Papers 413, Department of Economics and Business, Universitat Pompeu Fabra.
    6. Stefano Bosi & Francesco Magris & Alain Venditti, 2003. "Competitive Equilibrium Cycles with Endogenous Labor," Documents de recherche 03-05, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    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. 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.
    9. Fabrizio Orrego, 2014. "Habit formation and indeterminacy in overlapping generations models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 225-241, January.
    10. Haruyama, Tetsugen & Park, Hyun, 2017. "A simple dynastic economy with parental time investment in children’s patience," Economic Modelling, Elsevier, vol. 61(C), pages 235-247.
    11. repec:sbe:breart:v:20:y:2000:i:2:a:2757 is not listed on IDEAS
    12. Hamada, Kojun & Yanagihara, Mitsuyoshi, 2016. "Intergenerational altruism and the transfer paradox in an overlapping generations model," The Quarterly Review of Economics and Finance, Elsevier, vol. 59(C), pages 161-167.
    13. 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.
    14. 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).
    15. Hippolyte d’Albis & Emmanuelle Augeraud-Véron, 2007. "Balanced cycles in an OLG model with a continuum of finitely-lived individuals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 181-186, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:9:y:1997:i:3:p:511-528. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: http://www.springer.com .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.