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Capital Accumulation and Non-Renewable Energy Resources : a Special Functions Case

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  • Agustin, PEREZ BARAHONA

Abstract

In this paper, we study the implications of assuming different technologies for physical capital accumulation and consumption. More precisely, we assume that physical capital accumulation is relatively more energy-intensive than consumption. We conclude that this hypothesis, together with the possibility of technical progress (in particular, energy-saving technical progress), has important implications on economic growth. This model entails some technical difficulties. However, we provide a full analytical characterization of both short and long-run dynamics usig Gauss Hypergeometric functions

Suggested Citation

  • Agustin, PEREZ BARAHONA, 2007. "Capital Accumulation and Non-Renewable Energy Resources : a Special Functions Case," Discussion Papers (ECON - Département des Sciences Economiques) 2007008, Université catholique de Louvain, Département des Sciences Economiques.
  • Handle: RePEc:ctl:louvec:2007008
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    References listed on IDEAS

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    1. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders and Product Cycles," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 557-586.
    2. Boucekkine, Raouf & Pommeret, Aude, 2004. "Energy saving technical progress and optimal capital stock: the role of embodiment," Economic Modelling, Elsevier, vol. 21(3), pages 429-444, May.
    3. Heal, Geoffrey M., 1993. "The optimal use of exhaustible resources," Handbook of Natural Resource and Energy Economics,in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 3, chapter 18, pages 855-880 Elsevier.
    4. Smulders, Sjak & de Nooij, Michiel, 2003. "The impact of energy conservation on technology and economic growth," Resource and Energy Economics, Elsevier, vol. 25(1), pages 59-79, February.
    5. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    6. Sachs, J-D & Warner, A-M, 1995. "Natural Resource Abundance and Economic Growth," Papers 517a, Harvard - Institute for International Development.
    7. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 43-61.
    8. Boucekkine, R. & Ruiz-Tamarit, J.R., 2008. "Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 33-54, January.
    9. Pezzey, John C V & Withagen, Cees A, 1998. " The Rise, Fall and Sustainability of Capital-Resource Economies," Scandinavian Journal of Economics, Wiley Blackwell, vol. 100(2), pages 513-527, June.
    10. Perez-Barahona, Agustin & Zou, Benteng, 2006. "A comparative study of energy saving technical progress in a vintage capital model," Resource and Energy Economics, Elsevier, vol. 28(2), pages 181-191, May.
    11. Richard G. Newell & Adam B. Jaffe & Robert N. Stavins, 1999. "The Induced Innovation Hypothesis and Energy-Saving Technological Change," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 941-975.
    12. Théophile, AZOMAHOU & Raouf, BOUCEKKINE & Phu, NUYEN VAN, 2003. "Energy consumption, technological progress and economic policy," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2003025, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    13. Loschel, Andreas, 2002. "Technological change in economic models of environmental policy: a survey," Ecological Economics, Elsevier, vol. 43(2-3), pages 105-126, December.
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    More about this item

    Keywords

    Non-renewable resources; Energy-saging technical progress; Special Functions;

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • Q41 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Demand and Supply; Prices
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General
    • Q43 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy and the Macroeconomy

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