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A propos du principe du Maximum


  • Gilbert Abraham-Frois
  • Alain Goergen


[fre] A propos du principe du Maximum. . On ne saurait surestimer l'importance du principe du Maximum de Pontrjagyn dans les développements récents de l'analyse économique. Ceux-ci sont inconcevables sans celui-là ; la croissance optimale, la croissance endogène, les modèles de cycles réels doivent leur existence à cette méthode de résolution qui paraît construite tout exprès pour les économistes. Les auteurs rappellent d'abord les traits principaux du modèle de Ramseypour montrer comment le principe a permis de clarifier les concepts et de simplifier la résolution des problèmes d'optimisation intertemporelle. Ils décrivent ensuite sa technique et sa diffusion et s'interrogent sur la moindre notoriété dont a bénéficié le principe de Bellman dans les années 1960, malgré l'évidente ressemblance entre ces deux théories. [eng] About maximum principle. . Optimum growth, endogeneous growth theories, real business cycles models find strong support, and partly its very origin on maximum principle which seems specially suited for economie analysis. The comparison with Ramsey model emphasizes how introduction of Maximum Principle did help to clarify concepts and allowed both simplification and new views in intertemporal optimisation analysis. The paper takes into account recent applications, and wonders why Bellman Principle, so close in many aspects to Maximum Principle, has suffered for later diffusion in the sixties.

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  • Gilbert Abraham-Frois & Alain Goergen, 2002. "A propos du principe du Maximum," Revue Économique, Programme National Persée, vol. 53(1), pages 7-27.
  • Handle: RePEc:prs:reveco:reco_0035-2764_2002_num_53_1_410388
    Note: DOI:10.3406/reco.2002.410388

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    References listed on IDEAS

    1. Pascal Belan & Philippe Michel & Pierre Pestieau, 1998. "Pareto-Improving Social Security Reform," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 23(2), pages 119-125, December.
    2. Brunner, Johann K., 1996. "Transition from a pay-as-you-go to a fully funded pension system: The case of differing individuals and intragenerational fairness," Journal of Public Economics, Elsevier, vol. 60(1), pages 131-146, April.
    3. Gilles Saint-Paul, 1992. "Fiscal Policy in an Endogenous Growth Model," The Quarterly Journal of Economics, Oxford University Press, vol. 107(4), pages 1243-1259.
    4. Boadway, Robin & Marchand, Maurice & Pestieau, Pierre, 1991. "Pay-as-You-Go Social Security in a Changing Environment," Journal of Population Economics, Springer;European Society for Population Economics, vol. 4(4), pages 257-280, November.
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    6. Breyer, Friedrich & Straub, Martin, 1993. "Welfare effects of unfunded pension systems when labor supply is endogenous," Journal of Public Economics, Elsevier, vol. 50(1), pages 77-91, January.
    7. 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.
    8. Peters, Wolfgang, 1991. "Public Pensions in Transition: An Optimal Policy Path," Journal of Population Economics, Springer;European Society for Population Economics, vol. 4(2), pages 155-175, May.
    9. Martin Feldstein, 1998. "Privatizing Social Security," NBER Books, National Bureau of Economic Research, Inc, number feld98-1, January.
    10. Martin Feldstein, 1998. "Introduction to "Privatizing Social Security"," NBER Chapters,in: Privatizing Social Security, pages 1-29 National Bureau of Economic Research, Inc.
    11. Brunner, Johann K., 1993. "Redistribution and the efficiency of the pay-as-you-go pension system," Discussion Papers, Series I 265, University of Konstanz, Department of Economics.
    12. Martin Feldstein & Andrew Samwick, 1998. "The Transition Path in Privatizing Social Security," NBER Chapters,in: Privatizing Social Security, pages 215-264 National Bureau of Economic Research, Inc.
    13. BELAN, Pascal & MICHEL, Philippe & PESTIEAU, Pierre, 1996. "Pareto improving social security reform with endogenous growth," CORE Discussion Papers 1996057, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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