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Endogenous Growth, Backstop Technology Adoption and Optimal Jumps

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Abstract

We study a two-phase endogenous growth model in which the adoption of a backstop technology (e.g. solar) yields a sustained supply of essential energy inputs previously obtained from exhaustible resources (e.g. oil). Growth is knowledge-driven and the optimal timing of technology switching is determined by welfare maximization. The optimal path exhibits discrete jumps in endogenous variables: technology switching implies sudden reductions in consumption and output, an increase in the growth rate, and instantaneous adjustments in saving rates. Due to the positive growth e¤ect, it is optimal to implement the new technology when its current consumption bene.ts are substantially lower than those generated by old technologies.

Suggested Citation

  • Simone Valente, 2009. "Endogenous Growth, Backstop Technology Adoption and Optimal Jumps," CER-ETH Economics working paper series 09/104, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
  • Handle: RePEc:eth:wpswif:09-104
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    References listed on IDEAS

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    1. Simone Valente, 2005. "Sustainable Development, Renewable Resources and Technological Progress," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 30(1), pages 115-125, January.
    2. Valente, Simone, 2008. "Intergenerational transfers, lifetime welfare, and resource preservation," Environment and Development Economics, Cambridge University Press, vol. 13(1), pages 53-78, February.
    3. Aznar-Mã Rquez, J. & Ruiz-Tamarit, J.R., 2005. "Renewable Natural Resources And Endogenous Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 9(2), pages 170-197, April.
    4. Edward Barbier, 1999. "Endogenous Growth and Natural Resource Scarcity," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 14(1), pages 51-74, July.
    5. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    6. Tsur, Yacov & Zemel, Amos, 2003. "Optimal transition to backstop substitutes for nonrenewable resources," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 551-572, February.
    7. Partha Dasgupta & Richard J. Gilbert & Joseph E. Stiglitz, 1982. "Invention and Innovation Under Alternative Market Structures: The Case of Natural Resources," Review of Economic Studies, Oxford University Press, vol. 49(4), pages 567-582.
    8. William D. Nordhaus, 1973. "The Allocation of Energy Resources," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 4(3), pages 529-576.
    9. Masao Ogaki & Carmen M. Reinhart, 1998. "Measuring Intertemporal Substitution: The Role of Durable Goods," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 1078-1098, October.
    10. Di Maria, Corrado & Valente, Simone, 2008. "Hicks meets Hotelling: the direction of technical change in capital–resource economies," Environment and Development Economics, Cambridge University Press, vol. 13(6), pages 691-717, December.
    11. Tomiyama, Ken, 1985. "Two-stage optimal control problems and optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 317-337, November.
    12. Dasgupta, Partha & Stiglitz, Joseph, 1981. "Resource Depletion under Technological Uncertainty," Econometrica, Econometric Society, vol. 49(1), pages 85-104, January.
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    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Should we adopt solar energy before it is more efficient than fuel energy?
      by Economic Logician in Economic Logic on 2009-03-12 23:00:00

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    Cited by:

    1. van der Meijden, Gerard & Smulders, Sjak, 2018. "Technological Change During The Energy Transition," Macroeconomic Dynamics, Cambridge University Press, vol. 22(4), pages 805-836, June.
    2. Bonneuil, N. & Boucekkine, R., 2016. "Optimal transition to renewable energy with threshold of irreversible pollution," European Journal of Operational Research, Elsevier, vol. 248(1), pages 257-262.
    3. Balistreri, Edward J. & Hillberry, Russell H. & Rutherford, Thomas F., 2010. "Trade and welfare: Does industrial organization matter?," Economics Letters, Elsevier, vol. 109(2), pages 85-87, November.
    4. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2012. "Optimal Regime Switching and Threshold Effects: Theory and Application to a Resource Extraction Problem under Irreversibility," Working Papers 12-14, LAMETA, Universtiy of Montpellier, revised May 2012.
    5. Barreto, Raul A., 2018. "Fossil fuels, alternative energy and economic growth," Economic Modelling, Elsevier, vol. 75(C), pages 196-220.
    6. Ngo Van Long & Fabien Prieur & Klarizze Puzon & Mabel Tidball, 2013. "Markov Perfect Equilibria in Differential Games with Regime Switching Strategies," Working Papers 13-06, LAMETA, Universtiy of Montpellier, revised Jan 2014.
    7. Boucekkine, R. & Pommeret, A. & Prieur, F., 2013. "Optimal regime switching and threshold effects," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2979-2997.
    8. Zon A.H. van & David P.A., 2013. "Designing an optimal 'tech fix' path to global climate stability : directed R&D and embodied technical change in a multi‐phase framework," MERIT Working Papers 2013-041, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    9. Bretschger, Lucas & Valente, Simone, 2018. "Productivity Gaps And Tax Policies Under Asymmetric Trade," Macroeconomic Dynamics, Cambridge University Press, vol. 22(6), pages 1391-1427, September.
    10. van der Meijden, G.C., 2013. "The macroeconomic dynamics of trade liberalization, resource exploitation, and backstop technologies," Other publications TiSEM 988fc892-3596-4af3-9964-d, Tilburg University, School of Economics and Management.
    11. Long, Ngo Van & Prieur, Fabien & Tidball, Mabel & Puzon, Klarizze, 2017. "Piecewise closed-loop equilibria in differential games with regime switching strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 264-284.

    More about this item

    Keywords

    Backstop technology; Discrete jumps; Endogenous growth; Exhaustible resources; Optimal Control;

    JEL classification:

    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development
    • Q43 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy and the Macroeconomy

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