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With exhaustible resources, can a developing country escape from the poverty trap?

Author

Listed:
  • Cuong Le Van

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Katheline Schubert

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Tu-Anh Nguyen

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract
This paper studies the optimal growth of a developing non-renewable natural resource producer, which extracts the resource from its soil and produces a single consumption good with man-made capital. Moreover, it can sell the extracted resource abroad and use the revenues to buy an imported good, which is a perfect substitute of the domestic consumption good. The domestic technology is convex-concave, so that the economy may be locked into a poverty trap. We study the optimal extraction and depletion of the exhaustible resource and the optimal paths of accumulation of capital and of domestic consumption. We show that the extent to which the country will optimally escape from the poverty trap and the exhaustible resource will be a blessing depends on the characteristics of its technology and of the revenues from the resource function, on its impatience, on the level of its initial stock of capital and on the abundance of the natural resource. If the marginal productivity of capital at the origin is greater than the sum of the social discount rate and the depreciation rate, the country will accumulate capital along the entire growth path and will escape from the poverty trap, whatever its initial stocks of capital and resource, and provided that the marginal revenue obtained from the exportation of the resource is finite at the origin. On the contrary, if the marginal productivity of capital is lower than the depreciation rate whatever the level of capital and if moreover the initial stock of capital is small, then the country will never accumulate ; it will consume the revenues obtained from selling abroad the extracted resource, until there is no resource left and the economy collapses. We also show that any optimal path may be decentralized in a competitive equilibrium by using a tax/subsidy scheme for firms.

Suggested Citation

  • Cuong Le Van & Katheline Schubert & Tu-Anh Nguyen, 2007. "With exhaustible resources, can a developing country escape from the poverty trap?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00203180, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00203180
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00203180
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    References listed on IDEAS

    as
    1. Askenazy, Philippe & Le Van, Cuong, 1999. "A Model of Optimal Growth Strategy," Journal of Economic Theory, Elsevier, vol. 85(1), pages 24-51, March.
    2. Azariadis, Costas & Stachurski, John, 2005. "Poverty Traps," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5, Elsevier.
    3. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119098, HAL.
    4. repec:dau:papers:123456789/416 is not listed on IDEAS
    5. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    6. Le Van, Cuong & Cagri Saglam, H., 2004. "Optimal growth models and the Lagrange multiplier," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 393-410, June.
    7. Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 3-28.
    8. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Post-Print halshs-00119098, HAL.
    9. Eliasson, Ludvik & Turnovsky, Stephen J., 2004. "Renewable resources in an endogenously growing economy: balanced growth and transitional dynamics," Journal of Environmental Economics and Management, Elsevier, vol. 48(3), pages 1018-1049, November.
    10. repec:dau:papers:123456789/13605 is not listed on IDEAS
    11. Le Van, Cuong & Cagri Saglam, H., 2004. "Optimal growth models and the Lagrange multiplier," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 393-410, June.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Antoine Bommier & Lucas Bretschger & François Grand, 2017. "Existence of equilibria in exhaustible resource markets with economies of scale and inventories," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 687-721, March.
    2. Alain Ayong Le Kama & Thai Ha-Huy & Cuong Le Van & Katheline Schubert, 2014. "A never-decisive and anonymous criterion for optimal growth models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 281-306, February.
    3. 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.
    4. repec:ipg:wpaper:2 is not listed on IDEAS
    5. Bretschger, Lucas & Schaefer, Andreas, 2017. "Dirty history versus clean expectations: Can energy policies provide momentum for growth?," European Economic Review, Elsevier, vol. 99(C), pages 170-190.
    6. Christos Karydas & Evangelos V. Dioikitopoulos, 2020. "Sustainability traps: patience and innovation," CER-ETH Economics working paper series 20/330, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    7. repec:hal:cesptp:hal-03261262 is not listed on IDEAS
    8. Evangelos V. Dioikitopoulos & Christos Karydas, 2024. "Sustainability Traps: Patience and Innovation," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 87(6), pages 1425-1444, June.
    9. Alain Ayong Le Kama & Cuong Le Van & Katheline Schubert, 2008. "A Non-dictatorial Criterion for Optimal Growth Models," Working Papers 14, Development and Policies Research Center (DEPOCEN), Vietnam.
    10. 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.
    11. Dao, Nguyen Thang & Edenhofer, Ottmar, 2018. "On the fiscal strategies of escaping poverty-environment traps towards sustainable growth," Journal of Macroeconomics, Elsevier, vol. 55(C), pages 253-273.
    12. repec:ipg:wpaper:2013-002 is not listed on IDEAS
    13. Alexandra Brausmann & Lucas Bretschger, 2024. "Escaping Damocles’ Sword: Endogenous Climate Shocks in a Growing Economy," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 87(6), pages 1545-1592, June.
    14. repec:hal:pseptp:hal-03261262 is not listed on IDEAS
    15. 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.
    16. repec:hal:journl:hal-03261262 is not listed on IDEAS
    17. repec:hal:pseose:hal-01044568 is not listed on IDEAS
    18. Nguyen Than Dao & Ottmar Edenhofer, 2014. "On the Fiscal Strategies of Escaping Poverty-Environment Traps (and) Towards Sustainable Growth," CESifo Working Paper Series 4865, CESifo.
    19. Jin, Wei, 2021. "Path dependence, self-fulfilling expectations, and carbon lock-in," Resource and Energy Economics, Elsevier, vol. 66(C).
    20. repec:dau:papers:123456789/5551 is not listed on IDEAS

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    More about this item

    Keywords

    Optimal growth; competitive equilibrium with tax/subsidy; poverty trap; exhaustible resource; convex-concave technology; Croissance optimale; ressource épuisable; technologie convexe-concave; trappe à pauvreté; équilibre concurrentiel avec taxes/subventions;
    All these keywords.

    JEL classification:

    • Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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