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A simple characterization for sustained growth

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  • Ha-Huy, Thai
  • Tran, Nhat-Thien

Abstract

This article considers an inter-temporal optimization problem in a fairly general form and give sufficient conditions ensuring the convergence to infinity of the economy. These conditions are easy to verify and can be applied for a large class of problems in literature. As examples, some applications for different economies are also given.

Suggested Citation

  • Ha-Huy, Thai & Tran, Nhat-Thien, 2019. "A simple characterization for sustained growth," MPRA Paper 94102, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:94102
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    References listed on IDEAS

    as
    1. 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.
    2. Takashi Kamihigashi, 2002. "A simple proof of the necessity of the transversality condition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 427-433.
    3. Akao, Ken-Ichi & Kamihigashi, Takashi & Nishimura, Kazuo, 2011. "Monotonicity and continuity of the critical capital stock in the Dechert–Nishimura model," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 677-682.
    4. Santanu Roy, 2010. "On sustained economic growth with wealth effects," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 29-45, March.
    5. Takashi Kamihigashi & Santanu Roy, 2006. "Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 325-340, October.
    6. Kazuo Nishimura & Ryszard Rudnicki & John Stachurski, 2012. "Stochastic Optimal Growth with Nonconvexities," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 261-288, Springer.
    7. Dan Cao & Iván Werning, 2018. "Saving and Dissaving With Hyperbolic Discounting," Econometrica, Econometric Society, vol. 86(3), pages 805-857, May.
    8. Mukul Majumdar & Tapan Mitra, 1983. "Dynamic Optimization with a Non-Convex Technology: The Case of a Linear Objective Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 143-151.
    9. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    10. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    11. Takashi Kamihigashi, 2008. "The spirit of capitalism, stock market bubbles and output fluctuations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(1), pages 3-28, March.
    12. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    13. Crettez, Bertrand & Hayek, Naila & Morhaim, Lisa, 2017. "Optimal growth with investment enhancing labor," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 23-36.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Unbounded growth; sustained growth; non-convex dynamic programming;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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