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Existence of Solutions in Continuous-time Optimal Growth Models

Author

Listed:
  • D'ALBIS Hippolyte

    (LERNA, TSE)

  • GOURDEL Pascal
  • LE VAN Cuong

Abstract

This paper studies the existence of solutions in continuous time optimization problems. It provides a theorem whose conditions can be easily checked in most models of the optimal growth theory including those with increasing return and multi-sector economies.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • D'ALBIS Hippolyte & GOURDEL Pascal & LE VAN Cuong, 2007. "Existence of Solutions in Continuous-time Optimal Growth Models," LERNA Working Papers 07.11.232, LERNA, University of Toulouse.
  • Handle: RePEc:ler:wpaper:07.11.232
    as

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    File URL: http://www2.toulouse.inra.fr/lerna/travaux/cahiers2007/07.11.232.pdf
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    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Askenazy, Philippe & Le Van, Cuong, 1999. "A Model of Optimal Growth Strategy," Journal of Economic Theory, Elsevier, vol. 85(1), pages 24-51, March.
    3. Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation for Research in Economics, Yale University.
    4. Romer, Paul M, 1986. "Cake Eating, Chattering, and Jumps: Existence Results for Variational Problems," Econometrica, Econometric Society, vol. 54(4), pages 897-908, July.
    5. Magill, Michael J P, 1981. "Infinite Horizon Programs," Econometrica, Econometric Society, vol. 49(3), pages 679-711, May.
    6. Graciela Chichilnisky, 1981. "Existence and Characterization of Optimal Growth Paths Including Models with Non-Convexities in Utilities and Technologies," Review of Economic Studies, Oxford University Press, vol. 48(1), pages 51-61.
    7. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Le, Thanh & Le Van, Cuong, 2016. "Transitional dynamics in an R&D-based growth model with natural resources," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 1-17.
    2. Groth, Christian & Ricci, Francesco, 2011. "Optimal growth when environmental quality is a research asset," Research in Economics, Elsevier, vol. 65(4), pages 340-352, December.
    3. Lin Liu & Aditya Goenka, 2017. "Infectious Diseases, Human Capital and Economic Growth," 2017 Meeting Papers 1218, Society for Economic Dynamics.
    4. Manh Hung Nguyen & Phu Nguyen Van, 2008. "Growth and convergence in a model with renewable and nonrenewable resources," Working Papers 21, Development and Policies Research Center (DEPOCEN), Vietnam.
    5. Nguyen, Manh-Hung & Nguyen-Van, Phu, 2010. "Growth and convergence in a model with renewable and non-renewable resources: existence, transitional dynamics, and empirical evidence," TSE Working Papers 10-210, Toulouse School of Economics (TSE).
    6. 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.
    7. Goenka, Aditya & Liu, Lin & Nguyen, Manh-Hung, 2014. "Infectious diseases and economic growth," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 34-53.
    8. Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2015. "Critical Capital Stock in a Continuous-Time Growth Model with a Convex-Concave Production Function," Discussion Paper Series DP2015-39, Research Institute for Economics & Business Administration, Kobe University.

    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
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

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