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Optimal growth models and the Lagrange multiplier

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  • LE VAN, Cuong
  • SAGLAM, H. Cagri

Abstract

We provide sufficient conditions on the objective functional and the constraint functions under which the Lagrangean can be represented by a L exp.1 sequence of multipliers in infinite horizon discrete time optimal growth models.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • LE VAN, Cuong & SAGLAM, H. Cagri, 2004. "Optimal growth models and the Lagrange multiplier," LIDAM Reprints CORE 1748, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1748
    DOI: 10.1016/j.jmateco.2003.10.002
    Note: In : Journal of Mathematical Economics, 40, 393-410, 2004.
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    References listed on IDEAS

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    1. Ivar Ekeland & José Alexandre Scheinkman, 1986. "Transversality Conditions for Some Infinite Horizon Discrete Time Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 216-229, May.
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    10. Jorge DurÂn, 2000. "On dynamic programming with unbounded returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 339-352.
    11. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Post-Print halshs-00119098, HAL.
    12. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119098, HAL.
    13. repec:dau:papers:123456789/416 is not listed on IDEAS
    14. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
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    17. McKenzie, Lionel W., 2005. "Optimal economic growth, turnpike theorems and comparative dynamics," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 2, volume 3, chapter 26, pages 1281-1355, Elsevier.
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Paweł Dziewulski, 2011. "On Time-to-Build Economies with Multiple-Stage Investments," Gospodarka Narodowa. The Polish Journal of Economics, Warsaw School of Economics, issue 9, pages 23-49.
    2. Goenka, Aditya & Nguyen, Manh-Hung, 2009. "Existence of Competitive Equilibrium in an Optimal Growth Model with Elastic Labor Supply and Smoothness of the Policy Function," TSE Working Papers 09-064, Toulouse School of Economics (TSE).
    3. Marrero, Gustavo A., 2008. "Revisiting The Optimal Stationary Public Investment Policy In Endogenous Growth Economies," Macroeconomic Dynamics, Cambridge University Press, vol. 12(2), pages 172-194, April.
    4. Jean-Michel Grandmont, 2013. "Tribute to Cuong Le Van," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 5-10, March.
    5. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations," GE, Growth, Math methods 0511007, University Library of Munich, Germany.
    6. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth I: Consensual optimality," GE, Growth, Math methods 0510013, University Library of Munich, Germany.
    7. Goenka, Aditya & Nguyen, Manh-Hung, 2020. "General existence of competitive equilibrium in the growth model with an endogenous labor–leisure choice," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 90-98.
    8. Goenka, Aditya & Le Van, Cuong & Nguyen, Manh-Hung, 2012. "Existence Of Competitive Equilibrium In An Optimal Growth Model With Heterogeneous Agents And Endogenous Leisure," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 33-51, April.
    9. Cuong Le Van & Manh Hung Nguyen, 2005. "Existence of competitive equilibrium in a single-sector growth model with heterogeneous agents and endogenous leisure," Cahiers de la Maison des Sciences Economiques b05092, Université Panthéon-Sorbonne (Paris 1).
    10. Le Van, Cuong & Schubert, Katheline & Nguyen, Tu Anh, 2010. "With exhaustible resources, can a developing country escape from the poverty trap?," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2435-2447, November.
    11. Goenka, Aditya & Le Van, Cuong & Nguyen, Manh-Hung, 2012. "Existence Of Competitive Equilibrium In An Optimal Growth Model With Heterogeneous Agents And Endogenous Leisure," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 33-51, April.
    12. Mohamed Ben Ridha Mabrouk, 2011. "Translation invariance when utility streams are infinite and unbounded," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(4), pages 317-329, December.
    13. Aditya Goenka & Cuong Le Van & Manh-Hung Nguyen, 2011. "A study of the dynamic of influence through differential equations," Documents de travail du Centre d'Economie de la Sorbonne 11023, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    14. Nguyen Manh Hung & San Nguyen Van, 2005. "The Lagrange multipliers and existence of competitive equilibrium in an intertemporal model with endogenous leisure," Cahiers de la Maison des Sciences Economiques b05041, Université Panthéon-Sorbonne (Paris 1).
    15. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    16. Hiraguchi, Ryoji, 2011. "A two sector endogenous growth model with habit formation," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 430-441, April.
    17. Cuong Le Van & Yiannis Vailakis, 2004. "Existence of competitive equilibrium in a single-sector growth model with elastic labour," Cahiers de la Maison des Sciences Economiques b04123, Université Panthéon-Sorbonne (Paris 1).
    18. Goenka, Aditya & Nguyen, Manh-Hung, 2011. "Equilibrium in the growth model with an endogenous labor-leisure choice," LERNA Working Papers 11.06.340, LERNA, University of Toulouse.
    19. Luis Alcalá & Fernando Tohmé & Carlos Dabús, 2019. "Strategic Growth with Recursive Preferences: Decreasing Marginal Impatience," Dynamic Games and Applications, Springer, vol. 9(2), pages 314-365, June.

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    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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