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Optimal control theory with applications to resource and environmental economics

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Abstract

This note gives a brief, non-rigorous sketch of basic optimal control theory, which is a useful tool in several simple economic problems,such as those in resource and environmental economics. While the mathematical analysis in the note is self-contained, there is not much explanation and intuition on the economic issues. The note should therefore be read together with articles or books that give more discussion of the economics of the problems considered.

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  • Hoel, Michael, 2016. "Optimal control theory with applications to resource and environmental economics," Memorandum 08/2016, Oslo University, Department of Economics.
    • Handle: RePEc:hhs:osloec:2016_008
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    File URL: http://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2016/memo-08-2016.pdf
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    References listed on IDEAS

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    1. Farzin, Y H & Tahvonen, O, 1996. "Global Carbon Cycle and the Optimal Time Path of a Carbon Tax," Oxford Economic Papers, Oxford University Press, vol. 48(4), pages 515-536, October.
    2. Michael Hoel, 2011. "The Supply Side of CO 2 with Country Heterogeneity," Scandinavian Journal of Economics, Wiley Blackwell, vol. 113(4), pages 846-865, December.
    3. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39, pages 137-137.
    4. Myles R. Allen & David J. Frame & Chris Huntingford & Chris D. Jones & Jason A. Lowe & Malte Meinshausen & Nicolai Meinshausen, 2009. "Warming caused by cumulative carbon emissions towards the trillionth tonne," Nature, Nature, vol. 458(7242), pages 1163-1166, April.
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    More about this item

    Keywords

    optimal control theory; exhaustible Resources; renewable Resources; climate change; water management;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General
    • Q50 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - General

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