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An optimal control model for reducing and trading of carbon emissions

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  • Guo, Huaying
  • Liang, Jin

Abstract

A stochastic optimal control model of reducing and trading for carbon emissions is established in this paper. With considerations of reducing the carbon emission growth and the price of the allowances in the market, an optimal policy is searched to have the minimum total costs to achieve the agreement of emission reduction targets. The model turns to a two-dimension HJB equation problem. By the methods of reducing dimension and Cole–Hopf transformation, a semi-closed form solution of the corresponding HJB problem under some assumptions is obtained. For more general cases, the numerical calculations, analysis and comparisons are presented.

Suggested Citation

  • Guo, Huaying & Liang, Jin, 2016. "An optimal control model for reducing and trading of carbon emissions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 446(C), pages 11-21.
    • Handle: RePEc:eee:phsmap:v:446:y:2016:i:c:p:11-21
    DOI: 10.1016/j.physa.2015.10.076
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    References listed on IDEAS

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    1. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    2. Susanne Kruse & Matthias Meitner & Michael Schroder, 2005. "On the pricing of GDP-linked financial products," Applied Financial Economics, Taylor & Francis Journals, vol. 15(16), pages 1125-1133.
    3. repec:dau:papers:123456789/2267 is not listed on IDEAS
    4. Wang, Mingxi & Wang, Mingrong & Wang, Shouyang, 2012. "Optimal investment and uncertainty on China's carbon emission abatement," Energy Policy, Elsevier, vol. 41(C), pages 871-877.
    5. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    6. Daskalakis, George & Psychoyios, Dimitris & Markellos, Raphael N., 2009. "Modeling CO2 emission allowance prices and derivatives: Evidence from the European trading scheme," Journal of Banking & Finance, Elsevier, vol. 33(7), pages 1230-1241, July.
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    Cited by:

    1. Xinfu Chen & Yuchao Dong & Wenlin Huang & Jin Liang, 2024. "Optimal Carbon Emission Control With Allowances Purchasing," Papers 2407.08477, arXiv.org.
    2. Zhou, Kaile & Li, Yiwen, 2019. "Influencing factors and fluctuation characteristics of China’s carbon emission trading price," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 459-474.
    3. Shixian Wang & Sheng Zhou & Cuilian You, 2024. "Optimal Pricing and Abatement Effort Strategy for Low Carbon Products," Journal of Optimization Theory and Applications, Springer, vol. 201(3), pages 1256-1274, June.

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