IDEAS home Printed from https://ideas.repec.org/a/prs/reveco/reco_0035-2764_1993_num_44_3_409466.html
   My bibliography  Save this article

Croissance optimale avec population fluctuante

Author

Listed:
  • Philippe Michel
  • Pierre Pestieau

Abstract

[fre] Croissance optimale avec population fluctuante. . Cet article introduit la possibilité d'une population fluctuante dans la théorie traditionnelle de la croissance optimale. Dans l'hypothèse où ces fluctuations sont cycliques, on distinguera une règle d'optimalité à deux temps. A l'intérieur du cycle, les utilités peuvent être pondérées de manière quelconque selon le principe de l'optimum de Pareto. D'un cycle à l'autre, une règle correspondant à la règle d'or permet de réaliser le niveau d'utilité le plus élevé pour le cycle stationnaire. [eng] Optimal growth and changing population. . This note introduces changing population within the traditional setting of optimal growth theory. Under the assumption of cyclical population changes, one derives a two-tier optimality rule. Within the cycle, individual's utilities can be arbitrarily weighted according to the Pareto principle. Across cycles, a rule analogous to the golden rule implies the highest level of utility for the stationary cycle.

Suggested Citation

  • Philippe Michel & Pierre Pestieau, 1993. "Croissance optimale avec population fluctuante," Revue Économique, Programme National Persée, vol. 44(3), pages 615-624.
    • Handle: RePEc:prs:reveco:reco_0035-2764_1993_num_44_3_409466
    as

    Download full text from publisher

    File URL: https://www.persee.fr/doc/reco_0035-2764_1993_num_44_3_409466
    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/
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. MARCHAND, M. & MICHEL, Ph. & PESTIEAU, P., 1990. "Optimal intergenerational transfers in a growth model with fertility and productivity changes," LIDAM Discussion Papers CORE 1990059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Koopmans, Tjalling C, 1977. "Concepts of Optimality and Their Uses," American Economic Review, American Economic Association, vol. 67(3), pages 261-274, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. repec:hal:spmain:info:hdl:2441/3882 is not listed on IDEAS
    2. Vincent Touzé, 2006. "Fluctuations et partage entre les générations," Post-Print hal-03462168, HAL.
    3. repec:spo:wpmain:info:hdl:2441/3882 is not listed 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. Horsley, Anthony & Wrobel, Andrew J., 2007. "Profit-maximizing operation and valuation of hydroelectric plant: A new solution to the Koopmans problem," Journal of Economic Dynamics and Control, Elsevier, vol. 31(3), pages 938-970, March.
    2. Mukherjee, Saral & Chatterjee, A.K., 2006. "The average shadow price for MILPs with integral resource availability and its relationship to the marginal unit shadow price," European Journal of Operational Research, Elsevier, vol. 169(1), pages 53-64, February.
    3. Matheus Assaf, 2017. "Coast to Coast: How MIT's students linked the Solow model and optimal growth theory," Working Papers, Department of Economics 2017_20, University of São Paulo (FEA-USP).
    4. Crettez, Bertrand & Michel, Philippe & Wigniolle, Bertrand, 2003. "Jusqu’où l’État peut-il s’endetter? Une approche par les modèles à générations imbriquées d’agents," L'Actualité Economique, Société Canadienne de Science Economique, vol. 79(3), pages 277-295, Septembre.
    5. Marchand, Maurice & Michel, Philippe & Pestieau, Pierre, 1996. "Intergenerational transfers in an endogenous growth model with fertility changes," European Journal of Political Economy, Elsevier, vol. 12(1), pages 33-48, April.
    6. Marc Nerlove & Assaf Razin & Efraim Sadka, 1986. "Tamaño de Población Socialmente Óptimo," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 23(68), pages 3-24.
    7. Chatterjee A K & Mukherjee, Saral, 2006. "Unified Concept of Bottleneck," IIMA Working Papers WP2006-05-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    8. Sidney G. Winter, 2002. "Toward an Evolutionary Theory of Production," LEM Papers Series 2002/27, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    9. John C. V. Pezzey & John M. Anderies, 2000. "Some Further Economics of Easter Island: Adding Subsistence and Resource Conservation," Working Papers in Ecological Economics 0002, Australian National University, Centre for Resource and Environmental Studies, Ecological Economics Program.
    10. Anand, Sudhir & Sen, Amartya, 2000. "Human Development and Economic Sustainability," World Development, Elsevier, vol. 28(12), pages 2029-2049, December.
    11. Martin Shubik, 2010. "Innovation and Equilibrium?," Chapters, in: Dimitri B. Papadimitriou & L. Randall Wray (ed.), The Elgar Companion to Hyman Minsky, chapter 8, Edward Elgar Publishing.
    12. Shubik, Martin, 1990. "A game theoretic approach to the theory of money and financial institutions," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 5, pages 171-219, Elsevier.
    13. Dmitry Rokhlin, 2013. "On the game interpretation of a shadow price process in utility maximization problems under transaction costs," Finance and Stochastics, Springer, vol. 17(4), pages 819-838, October.
    14. Pezzey, John C. V. & Anderies, John M., 2003. "The effect of subsistence on collapse and institutional adaptation in population-resource societies," Journal of Development Economics, Elsevier, vol. 72(1), pages 299-320, October.
    15. Fernando Perera-Tallo, 2012. "Optimal Retirement Age and Aging Population," 2012 Meeting Papers 728, Society for Economic Dynamics.
    16. Polterovich, V., 2012. "Kantorovich's Theory of Optimal Resource Allocation Within the History of Economic Thought," Journal of the New Economic Association, New Economic Association, vol. 13(1), pages 176-180.
    17. DOCQUIER, Frédéric & PADDISON, Oliver, 2000. "Growth and equality effects of pension plans," LIDAM Discussion Papers CORE 2000036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Pascal Belan, 2001. "Transition vers un système par capitalisation dans un modèle de croissance endogène," Revue Économique, Programme National Persée, vol. 52(6), pages 1205-1226.
    19. Dmitry B. Rokhlin, 2011. "On the game interpretation of a shadow price process in utility maximization problems under transaction costs," Papers 1112.2406, arXiv.org, revised Dec 2011.
    20. Pakandam, Barzin, 2009. "Why Easter Island collapsed: an answer for an enduring question," Economic History Working Papers 27864, London School of Economics and Political Science, Department of Economic History.

    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_1993_num_44_3_409466. 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.