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Economic dynamics with renewable resources and pollution

Author

Listed:
  • Dam, My
  • Ha-Huy, Thai
  • Le Van, Cuong
  • Nguyen, Thi Tuyet Mai

Abstract

This article considers a two-sector economy with externalities. In particular, the analysis involves an industrial sector whose polluting production activities have negative effects on the regeneration of a natural resource in the other sector. Without convexity or supermodularity, we prove that the economy evolves to increase the net gain of stock (a similar notion to the net gain of investment in Kamihigashi and Roy (2007)), and establish the conditions ensuring the convergence of the economy in the long run.

Suggested Citation

  • Dam, My & Ha-Huy, Thai & Le Van, Cuong & Nguyen, Thi Tuyet Mai, 2020. "Economic dynamics with renewable resources and pollution," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 14-26.
    • Handle: RePEc:eee:matsoc:v:108:y:2020:i:c:p:14-26
    DOI: 10.1016/j.mathsocsci.2020.08.002
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    References listed on IDEAS

    as
    1. Ayong Le Kama, Alain D., 2001. "Sustainable growth, renewable resources and pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1911-1918, December.
    2. Thai Ha‐Huy & Cuong Le Van & Thi‐Do‐Hanh Nguyen, 2020. "Optimal growth when consumption takes time," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1442-1461, September.
    3. Le Van, Cuong & Morhaim, Lisa, 2002. "Optimal Growth Models with Bounded or Unbounded Returns: A Unifying Approach," Journal of Economic Theory, Elsevier, vol. 105(1), pages 158-187, July.
    4. Wirl, Franz, 2004. "Sustainable growth, renewable resources and pollution: Thresholds and cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1149-1157, March.
    5. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119098, HAL.
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    7. 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.
    8. 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.
    9. Wirl, Franz, 1999. "Complex, dynamic environmental policies," Resource and Energy Economics, Elsevier, vol. 21(1), pages 19-41, January.
    10. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    11. Le Van, Cuong & Vailakis, Yiannis, 2005. "Recursive utility and optimal growth with bounded or unbounded returns," Journal of Economic Theory, Elsevier, vol. 123(2), pages 187-209, August.
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    14. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    15. 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.
    16. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Post-Print halshs-00119098, HAL.
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    18. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
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    Full references (including those not matched with items on IDEAS)

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    Cited by:

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    2. Bosi, Stefano & Ha-Huy, Thai, 2023. "A multidimensional, nonconvex model of optimal growth," Journal of Mathematical Economics, Elsevier, vol. 109(C).

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    More about this item

    Keywords

    Two-sector economy; Renewable resources; Pollution externality; Ramsey model;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation

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