IDEAS home Printed from https://ideas.repec.org/a/prs/reveco/reco_0035-2764_1996_num_47_3_409785.html
   My bibliography  Save this article

Croissance optimale et cycles dans le modèle à générations imbriquées : un exemple

Author

Listed:
  • Philippe Michel
  • Alain Venditti
  • Claude Jessua

Abstract

[fre] On étudie les propriétés dynamiques des sentiers optimaux dans un exemple du modèle à générations imbriquées à un secteur dans lequel la fonction d'utilité de l'agent représentatif est non separable. On montre dans cet exemple que le sentier optimal de croissance peut osciller et que des cycles optimaux de période deux peuvent exister. En appliquant ces résultats au modèle avec altruisme, on montre que la condition de legs positif s est parfaitement compatible avec des fluc­tuations endogènes. [eng] This paper investigates the dynamical properties of optimal paths in an exam­ple of one-sector overlapping generations model in which the utility function of the representative agent is non-separable. We show that the optimal growth path may be oscillating and optimal two-period cycles may exist. Applying these results to the model with altruism, we show that the condition of operative bequest is fully compatible with endogenous fluctuations.

Suggested Citation

  • Philippe Michel & Alain Venditti & Claude Jessua, 1996. "Croissance optimale et cycles dans le modèle à générations imbriquées : un exemple," Revue Économique, Programme National Persée, vol. 47(3), pages 487-497.
    • Handle: RePEc:prs:reveco:reco_0035-2764_1996_num_47_3_409785
    DOI: 10.3406/reco.1996.409785
    Note: DOI:10.3406/reco.1996.409785
    as

    Download full text from publisher

    File URL: https://doi.org/10.3406/reco.1996.409785
    Download Restriction: Data and metadata provided by Persée are licensed under a Creative Commons "Attribution-Noncommercial-Share Alike 3.0" License http://creativecommons.org/licenses/by-nc-sa/3.0/
    File URL: https://www.persee.fr/doc/reco_0035-2764_1996_num_47_3_409785
    Download Restriction: Data and metadata provided by Persée are licensed under a Creative Commons "Attribution-Noncommercial-Share Alike 3.0" License http://creativecommons.org/licenses/by-nc-sa/3.0/
    File URL: https://libkey.io/10.3406/reco.1996.409785?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Levhari, David & Liviatan, Nissan, 1972. "On stability in the saddle-point sense," Journal of Economic Theory, Elsevier, vol. 4(1), pages 88-93, February.
    2. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-723, May.
    3. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    4. Benhabib, Jess & Laroque, Guy, 1988. "On competitive cycles in productive economies," Journal of Economic Theory, Elsevier, vol. 45(1), pages 145-170, June.
    5. Philippe Weil, 1987. "Love Thy Children," Post-Print hal-03393237, HAL.
    6. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
    7. George Evans, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(4), pages 1217-1233.
    8. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    9. Jess Benhabib & Kazuo Nishimura, 2012. "The Hopf Bifurcation and Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 51-73, Springer.
    10. Weil, Philippe, 1987. "Love thy children : Reflections on the Barro debt neutrality theorem," Journal of Monetary Economics, Elsevier, vol. 19(3), pages 377-391, May.
    11. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
    12. Grandmont, Jean-Michel & Laroque, Guy, 1986. "Stability of cycles and expectations," Journal of Economic Theory, Elsevier, vol. 40(1), pages 138-151, October.
    13. 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.
    14. Benhabib, Jess & Rustichini, Aldo, 1990. "Equilibrium cycling with small discounting," Journal of Economic Theory, Elsevier, vol. 52(2), pages 423-432, December.
    15. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    16. Jullien, Bruno, 1988. "Competitive business cycles in an overlapping generations economy with productive investment," Journal of Economic Theory, Elsevier, vol. 46(1), pages 45-65, October.
    17. Jess Benhabib & Kazuo Nishimura, 2012. "Competitive Equilibrium Cycles," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 75-96, Springer.
    18. repec:hal:spmain:info:hdl:2441/8711 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Philippe Michel & Bertrand Wigniolle, 1993. "Une présentation simple des dynamiques complexes," Revue Économique, Programme National Persée, vol. 44(5), pages 885-912.
    2. Tvede Mich, 2009. "Fluctuations in Overlapping Generations Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-19, May.
    3. Venditti, Alain, 2005. "The two sector overlapping generations model: A simple formulation," Research in Economics, Elsevier, vol. 59(2), pages 164-188, June.
    4. Kalra, Sanjay, 1996. "Cyclical equilibria in multi-sector productive economies: The role of substitution and factor intensity," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1709-1729.
    5. Alexeeva, Tatyana A. & Kuznetsov, Nikolay V. & Mokaev, Timur N., 2021. "Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. 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.
    7. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    8. Hashimoto, Ken-ichi & Im, Ryonghun & Kunieda, Takuma & Shibata, Akihisa, 2022. "Financial destabilization," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    9. Kazuo Nishimura & Florian Pelgrin & Alain Venditti, 2022. "Medium term endogenous fluctuations in three-sector optimal growth models," Working Papers hal-03923999, HAL.
    10. Wolff, Reiner, 1997. "Saddle-point dynamics in non-autonomous models of multisector growth with variable returns to scale," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 267-282, April.
    11. Pelgrin, Florian & Venditti, Alain, 2022. "On the long-run fluctuations of inheritance in two-sector OLG models," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    12. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
    13. De Vilder, Robin G. & Hommes, Cars, 1995. "Investment constrained endogenous business cycles in a two-dimensional OLG model," CEPREMAP Working Papers (Couverture Orange) 9503, CEPREMAP.
    14. Boucekkine, Raouf & Seegmuller, Thomas & Venditti, Alain, 2021. "Advances in growth and macroeconomic dynamics: In memory of Carine Nourry," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 1-6.
    15. Frédéric Lordon, 1991. "Théorie de la croissance : quelques développements récents [Première partie : la croissance récente]," Revue de l'OFCE, Programme National Persée, vol. 36(1), pages 157-211.
    16. Grandmont, Jean-michel, 1989. "Keynesian issues and economic theory," CEPREMAP Working Papers (Couverture Orange) 8907, CEPREMAP.
    17. Grandmont, Jean-Michel, 1998. "Introduction to Market Psychology and Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 1-13, May.
    18. 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.
    19. Venditti, Alain, 1998. "Indeterminacy and endogenous fluctuations in two-sector growth models with externalities," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 521-542, January.
    20. Michele Boldrin, 1988. "Persistent Oscillations and Chaos in Dynamic Economic Models: Notes for a Survey," UCLA Economics Working Papers 458A, UCLA Department of Economics.

    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:prs:reveco:reco_0035-2764_1996_num_47_3_409785. See general information about how to correct material in RePEc.

    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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Equipe PERSEE (email available below). General contact details of provider: https://www.persee.fr/collection/reco .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.