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Dynamic optimal control of pollution abatement under emissions permit banking

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  • Li, Shoude

Abstract

In a recent work, Dragone et al. (2010) modeled an optimal control model of pollution abatement, and investigated the adoption of a tax levied on the firm's instantaneous contribution to the accumulation of pollution. In this paper, we extend the work of Dragone et al. (2010) by providing a dynamic optimal control model of pollution abatement with emissions permits banking, where the firm is allowed to purchase, sell and bank emissions permits given a finite planning horizon of length. Our objective is to find the optimal levels of the production, the pollution abatement investment and the quantity of emissions permits bought or sold in continuous time through the use of optimal control theory. We illustrate the results with a numerical example.

Suggested Citation

  • Li, Shoude, 2014. "Dynamic optimal control of pollution abatement under emissions permit banking," Economic Modelling, Elsevier, vol. 36(C), pages 363-369.
  • Handle: RePEc:eee:ecmode:v:36:y:2014:i:c:p:363-369
    DOI: 10.1016/j.econmod.2013.10.011
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    References listed on IDEAS

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    1. Zhao, Jinhua, 2003. "Irreversible abatement investment under cost uncertainties: tradable emission permits and emissions charges," Journal of Public Economics, Elsevier, vol. 87(12), pages 2765-2789, December.
    2. Orr, Lloyd, 1976. "Incentive for Innovation as the Basis for Effluent Charge Strategy," American Economic Review, American Economic Association, vol. 66(2), pages 441-447, May.
    3. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    4. Kling, Catherine & Rubin, Jonathan, 1997. "Bankable permits for the control of environmental pollution," Journal of Public Economics, Elsevier, vol. 64(1), pages 101-115, April.
    5. Kling, Catherine L. & Rubin, Jonathan, 1993. "Emission Saved is an Emission Earned: An Empirical Study of Emission Banking (An)," Staff General Research Papers Archive 1579, Iowa State University, Department of Economics.
    6. Rubin Jonathan & Kling Catherine, 1993. "An Emission Saved Is an Emission Earned: An Empirical Study of Emission Banking for Light-Duty Vehicle Manufacturers," Journal of Environmental Economics and Management, Elsevier, vol. 25(3), pages 257-274, November.
    7. Yates, Andrew J. & Cronshaw, Mark B., 2001. "Pollution Permit Markets with Intertemporal Trading and Asymmetric Information," Journal of Environmental Economics and Management, Elsevier, vol. 42(1), pages 104-118, July.
    8. D. Dragone & L. Lambertini & G. Leitmann & A. Palestini, 2009. "A Stochastic Optimal Control Model of Pollution Abatement," Working Papers 681, Dipartimento Scienze Economiche, Universita' di Bologna.
    9. Cronshaw, Mark B & Brown-Kruse, Jamie, 1996. "Regulated Firms in Pollution Permit Markets with Banking," Journal of Regulatory Economics, Springer, vol. 9(2), pages 179-189, March.
    10. Jung, Chulho & Krutilla, Kerry & Boyd, Roy, 1996. "Incentives for Advanced Pollution Abatement Technology at the Industry Level: An Evaluation of Policy Alternatives," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 95-111, January.
    11. Daniel Phaneuf & Till Requate, 2002. "Incentives for Investment in Advanced Pollution Abatement Technology in Emission Permit Markets with Banking," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 22(3), pages 369-390, July.
    12. Juan-Pablo Montero, 1999. "Voluntary Compliance with Market-Based Environmental Policy: Evidence from the U.S. Acid Rain Program," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 998-1033, October.
    13. Godby, Robert W. & Mestelman, Stuart & Muller, R. Andrew & Welland, J. Douglas, 1997. "Emissions Trading with Shares and Coupons when Control over Discharges Is Uncertain," Journal of Environmental Economics and Management, Elsevier, vol. 32(3), pages 359-381, March.
    14. Adam Jaffe & Richard Newell & Robert Stavins, 2002. "Environmental Policy and Technological Change," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 22(1), pages 41-70, June.
    15. Rubin, Jonathan D., 1996. "A Model of Intertemporal Emission Trading, Banking, and Borrowing," Journal of Environmental Economics and Management, Elsevier, vol. 31(3), pages 269-286, November.
    16. Requate, Till & Unold, Wolfram, 2003. "Environmental policy incentives to adopt advanced abatement technology:: Will the true ranking please stand up?," European Economic Review, Elsevier, vol. 47(1), pages 125-146, February.
    17. Milliman, Scott R. & Prince, Raymond, 1989. "Firm incentives to promote technological change in pollution control," Journal of Environmental Economics and Management, Elsevier, vol. 17(3), pages 247-265, November.
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    Cited by:

    1. Dongdong Li, 2022. "Dynamic optimal control of firms' green innovation investment and pricing strategies with environmental awareness and emission tax," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(4), pages 920-932, June.
    2. Chen, Anping & Groenewold, Nicolaas, 2015. "Emission reduction policy: A regional economic analysis for China," Economic Modelling, Elsevier, vol. 51(C), pages 136-152.
    3. Shi, Beibei & Jiang, Lisha & Bao, Rui & Zhang, Ziqing & Kang, YuanQi, 2023. "The impact of insurance on pollution emissions: Evidence from China's environmental pollution liability insurance," Economic Modelling, Elsevier, vol. 121(C).
    4. Ni, Jian & Huang, Hongzhi & Wang, Peipei & Zhou, Wei, 2020. "Capacity investment and green R&D in a dynamic oligopoly under the potential shift in environmental damage," Economic Modelling, Elsevier, vol. 88(C), pages 312-319.
    5. Nkuiya, Bruno, 2020. "Tradeoffs between costly capacity investment and risk of regime shift," Economic Modelling, Elsevier, vol. 91(C), pages 117-127.

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    More about this item

    Keywords

    Environmental externalities; Pollution abatement; Emissions permit banking;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation
    • 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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