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A Differential Game of Transboundary Industrial Pollution with Emission Permits Trading

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  • Shoude Li

    (Shanghai Jiao Tong University)

Abstract

Transboundary pollution is a particularly serious problem as it leads people located at regional borders to disproportionately suffer from pollution. In 2007, a cooperative differential game model of transboundary industrial pollution was presented by Yeung. It is the first time that time-consistent solutions are derived in a cooperative differential game on pollution control with industries and governments being separate entities. In this paper, we extend Yeung’s model to an even more general model, in which emission permits trading is taken into account. Our objective is to make use of optimal control theory to find the two regions’ noncooperative and cooperative optimal emission paths such that the regions’ discounted stream of net revenues is maximized. We illustrate the results with a numerical example.

Suggested Citation

  • Shoude Li, 2014. "A Differential Game of Transboundary Industrial Pollution with Emission Permits Trading," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 642-659, November.
    • Handle: RePEc:spr:joptap:v:163:y:2014:i:2:d:10.1007_s10957-013-0384-7
    DOI: 10.1007/s10957-013-0384-7
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    1. Karl-Göran Mäler & Aart De Zeeuw, 1998. "The Acid Rain Differential Game," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 12(2), pages 167-184, September.
    2. de Zeeuw, A.J., 1998. "The acid rain differential game," Other publications TiSEM f6c561bf-c603-4de7-994c-e, Tilburg University, School of Economics and Management.
    3. Frederick Ploeg & Aart Zeeuw, 1992. "International aspects of pollution control," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 2(2), pages 117-139, March.
    4. M. Breton & G. Martín-Herrán & G. Zaccour, 2006. "Equilibrium Investment Strategies in Foreign Environmental Projects," Journal of Optimization Theory and Applications, Springer, vol. 130(1), pages 23-40, July.
    5. Hoel, Michael, 1993. "Intertemporal properties of an international carbon tax," Resource and Energy Economics, Elsevier, vol. 15(1), pages 51-70, March.
    6. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    7. D. W. K. Yeung, 2007. "Dynamically Consistent Cooperative Solution in a Differential Game of Transboundary Industrial Pollution," Journal of Optimization Theory and Applications, Springer, vol. 134(1), pages 143-160, July.
    8. Dutta, Prajit K. & Radner, Roy, 2009. "A strategic analysis of global warming: Theory and some numbers," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 187-209, August.
    9. Kaitala, Veijo & Pohjola, Matti & Tahvonen, Olli, 1992. " An Economic Analysis of Transboundary Air Pollution between Finland and the Former Soviet Union," Scandinavian Journal of Economics, Wiley Blackwell, vol. 94(3), pages 409-424.
    10. Veijo Kaitala & Matti Pohjola & Olli Tahvonen, 1992. "Transboundary air pollution and soil acidification: A dynamic analysis of an acid rain game between Finland and the USSR," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 2(2), pages 161-181, March.
    11. Akihiko Yanase, 2005. "Pollution Control in Open Economies: Implications of Within-period Interactions for Dynamic Game Equilibrium," Journal of Economics, Springer, vol. 84(3), pages 277-311, May.
    12. Zagonari, Fabio, 1998. "International Pollution Problems: Unilateral Initiatives by Environmental Groups in One Country," Journal of Environmental Economics and Management, Elsevier, vol. 36(1), pages 46-69, July.
    13. Prajit Dutta & Roy Radner, 2006. "Population growth and technological change in a global warming model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 251-270, October.
    14. List, John A. & Mason, Charles F., 2001. "Optimal Institutional Arrangements for Transboundary Pollutants in a Second-Best World: Evidence from a Differential Game with Asymmetric Players," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 277-296, November.
    15. Dockner, Engelbert J. & Van Long, Ngo & Sorger, Gerhard, 1996. "Analysis of Nash equilibria in a class of capital accumulation games," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1209-1235.
    16. B. A. Forster, 1973. "Optimal Consumption Planning in a Polluted Environment," The Economic Record, The Economic Society of Australia, vol. 49(4), pages 534-545, December.
    17. Forster, B A, 1973. "Optimal Consumption Planning in a Polluted Environment," The Economic Record, The Economic Society of Australia, vol. 49(128), pages 534-545, December.
    18. Martin Wade E. & Patrick Robert H. & Tolwinski Boleslaw, 1993. "A Dynamic Game of a Transboundary Pollutant with Asymmetric Players," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 1-12, July.
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    Cited by:

    1. David W. K. Yeung & Leon A. Petrosyan, 2016. "A Cooperative Dynamic Environmental Game of Subgame Consistent Clean Technology Development," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-23, June.
    2. Hao Xu & Ming Luo, 2022. "Optimal Environmental Policy in a Dynamic Transboundary Pollution Game: Emission Standards, Taxes, and Permit Trading," Sustainability, MDPI, vol. 14(15), pages 1-25, July.
    3. Hao Xu & Deqing Tan, 2023. "Optimal Abatement Technology Licensing in a Dynamic Transboundary Pollution Game: Fixed Fee Versus Royalty," Computational Economics, Springer;Society for Computational Economics, vol. 61(3), pages 905-935, March.
    4. Wang, Xinyu & Zhang, Shuhua & Hao, Wenwei, 2022. "Myopic vs. foresighted behaviors in a transboundary pollution game with abatement policy and emission permits trading," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    5. Ryle S. Perera & Kimitoshi Sato, 2023. "Ensuring Mutual Benefit in a Trans-boundary Industrial Pollution Control Problem," Computational Economics, Springer;Society for Computational Economics, vol. 62(1), pages 91-128, June.
    6. Fouad El Ouardighi & Konstantin Kogan & Giorgio Gnecco & Marcello Sanguineti, 2020. "Transboundary pollution control and environmental absorption efficiency management," Annals of Operations Research, Springer, vol. 287(2), pages 653-681, April.
    7. Yingxuan Zhang, 2020. "Regional Collaborative Electricity Consumption Management: an Urban Operations Research Model," SN Operations Research Forum, Springer, vol. 1(4), pages 1-28, December.
    8. Li, Huiquan & Guo, Genlong, 2019. "A differential game analysis of multipollutant transboundary pollution in river basin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    9. Wang, Xinyu & Sethi, Suresh P. & Chang, Shuhua, 2022. "Pollution abatement using cap-and-trade in a dynamic supply chain and its coordination," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    10. Wenguang Tang & Shuhua Zhang, 2019. "Modeling and Computation of Transboundary Pollution Game Based on Joint Implementation Mechanism," Complexity, Hindawi, vol. 2019, pages 1-18, August.
    11. Shuhua Chang & Suresh P. Sethi & Xinyu Wang, 2018. "Optimal Abatement and Emission Permit Trading Policies in a Dynamic Transboundary Pollution Game," Dynamic Games and Applications, Springer, vol. 8(3), pages 542-572, September.
    12. Shuhua Chang & Xinyu Wang & Alexander Shananin, 2015. "Modeling and Computation of Mean Field Equilibria in Producers' Game with Emission Permits Trading," Papers 1506.04869, arXiv.org.
    13. Lai, Junyu & Wan, Justin W.L. & Zhang, Shuhua, 2019. "Numerical methods for two person games arising from transboundary pollution with emission permit trading," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 11-31.
    14. Baogui Xin & Wei Peng & Minghe Sun, 2019. "Optimal Coordination Strategy for International Production Planning and Pollution Abating under Cap-and-Trade Regulations," IJERPH, MDPI, vol. 16(18), pages 1-21, September.
    15. Li, Shoude & Zhang, Yingxuan, 2023. "Abatement technology innovation and pollution tax design: A dynamic analysis in monopoly," Energy Economics, Elsevier, vol. 119(C).
    16. Jiayi Sun & Deqing Tan, 2023. "Non-cooperative Mode, Cost-Sharing Mode, or Cooperative Mode: Which is the Optimal Mode for Desertification Control?," Computational Economics, Springer;Society for Computational Economics, vol. 61(3), pages 975-1008, March.
    17. Chang, Shuhua & Qin, Weihua & Wang, Xinyu, 2018. "Dynamic optimal strategies in transboundary pollution game under learning by doing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 139-147.
    18. Ouardighi, Fouad El & Sim, Jeong Eun & Kim, Bowon, 2016. "Pollution accumulation and abatement policy in a supply chain," European Journal of Operational Research, Elsevier, vol. 248(3), pages 982-996.
    19. Bowon Kim & Jeong Eun Sim & Caroline Elliott, 2015. "Impacts of government and market on firm’s efforts to reduce pollution," Cogent Economics & Finance, Taylor & Francis Journals, vol. 3(1), pages 1062634-106, December.
    20. Xiao, Lu & Liu, Jianyue & Ge, Jinwen, 2021. "Dynamic game in agriculture and industry cross-sectoral water pollution governance in developing countries," Agricultural Water Management, Elsevier, vol. 243(C).

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