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When can environmental profile and emissions reductions be optimized independently of the pollutant level?

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  • Framstad, Nils Chr.

    (Dept. of Economics, University of Oslo)

Abstract

Consider a model for optimal timing of emissions reduction, trading off the cost of the reduction against the time-additive aggregate of environmental damage, the disutility from the pollutant stock M(t) the infrastructure contributes to. Intuitively, the optimal timing for an infinitesimal pollution source should reasonably not depend on its historical contribution to the stock, as this is negligible. Dropping the size assumption, we show how to reduce the minimization problem to one not depending on the history of M, under linear evolution and suitable linearity or additivity conditions on the damage functional. We employ a functional analysis framework which allows for delay equations, non-Markovian driving noise, a choice between discrete and continuous time, and a menu of integral concepts covering stochastic calculi less frequently used in resource and environmental economics. Examples are given under the common (Markovian Itô) stochastic analysis framework.

Suggested Citation

  • Framstad, Nils Chr., 2013. "When can environmental profile and emissions reductions be optimized independently of the pollutant level?," Memorandum 12/2013, Oslo University, Department of Economics.
    • Handle: RePEc:hhs:osloec:2013_012
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    References listed on IDEAS

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    1. Robert J. Elliott & John Van Der Hoek, 2003. "A General Fractional White Noise Theory And Applications To Finance," Mathematical Finance, Wiley Blackwell, vol. 13(2), pages 301-330, April.
    2. Framstad, N.C., 2011. "A remark on R.S. Pindyck: "Irreversibilities and the timing of environmental policy"," Resource and Energy Economics, Elsevier, vol. 33(3), pages 756-760, September.
    3. Pindyck, Robert S., 2000. "Irreversibilities and the timing of environmental policy," Resource and Energy Economics, Elsevier, vol. 22(3), pages 233-259, July.
    4. L. C. G. Rogers, 1997. "Arbitrage with Fractional Brownian Motion," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 95-105, January.
    5. Framstad, Nils Chr. & Strand, Jon, 2015. "Energy intensive infrastructure investments with retrofits in continuous time: Effects of uncertainty on energy use and carbon emissions," Resource and Energy Economics, Elsevier, vol. 41(C), pages 1-18.
    6. Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
    7. Marco Battaglini & Bård Harstad, 2016. "Participation and Duration of Environmental Agreements," Journal of Political Economy, University of Chicago Press, vol. 124(1), pages 160-204.
    8. Balikcioglu, Metin & Fackler, Paul L. & Pindyck, Robert S., 2011. "Solving optimal timing problems in environmental economics," Resource and Energy Economics, Elsevier, vol. 33(3), pages 761-768, September.
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    Cited by:

    1. Framstad, Nils Chr. & Strand, Jon, 2015. "Energy intensive infrastructure investments with retrofits in continuous time: Effects of uncertainty on energy use and carbon emissions," Resource and Energy Economics, Elsevier, vol. 41(C), pages 1-18.

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    More about this item

    Keywords

    Optmal control; optimal stopping; environmental policy; emissions reduction; linear model; Banach space; stochastic differential equations;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q52 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Pollution Control Adoption and Costs; Distributional Effects; Employment Effects

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