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Optimal Abatement and Emission Permit Trading Policies in a Dynamic Transboundary Pollution Game

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  • Shuhua Chang

    (Tianjin University of Finance and Economics)

  • Suresh P. Sethi

    (The University of Texas at Dallas)

  • Xinyu Wang

    (Tianjin University of Finance and Economics)

Abstract

We obtain optimal emission levels and abatement expenditures in a finite-horizon transboundary pollution game with emission trading between two regions. We show that emission trading has significant impact on the optimal strategies and profits of the two regions. We find that cooperation between the regions leads to increased abatement and lower emissions, resulting in a lower pollution stock. We also provide a stochastic extension in which the pollution stock and the emission trading price are diffusion processes and solve it numerically.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:dyngam:v:8:y:2018:i:3:d:10.1007_s13235-018-0260-z
    DOI: 10.1007/s13235-018-0260-z
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    References listed on IDEAS

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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. Y.H. Farzin & P.M. Kort, 2000. "Pollution Abatement Investment When Environmental Regulation Is Uncertain," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(2), pages 183-212, April.
    3. Benchekroun, Hassan & Martín-Herrán, Guiomar, 2016. "The impact of foresight in a transboundary pollution game," European Journal of Operational Research, Elsevier, vol. 251(1), pages 300-309.
    4. 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.
    5. 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.
    6. Bertinelli, Luisito & Camacho, Carmen & Zou, Benteng, 2014. "Carbon capture and storage and transboundary pollution: A differential game approach," European Journal of Operational Research, Elsevier, vol. 237(2), pages 721-728.
    7. Slim Ben Youssef, 2009. "Transboundary pollution, R&D spillovers and international trade," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 43(1), pages 235-250, March.
    8. 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.
    9. Bengt Kristrom & Tommy Lundgren, 2003. "Abatement investments and green goodwill," Applied Economics, Taylor & Francis Journals, vol. 35(18), pages 1915-1921.
    10. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A. & Mäler, K.-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1312-1331, April.
    11. Shuhua Chang & Xinyu Wang & Zheng Wang, 2015. "Modeling and Computation of Transboundary Industrial Pollution with Emission Permits Trading by Stochastic Differential Game," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-29, September.
    12. Tommy Lundgren, 2003. "A Real Options Approach to Abatement Investments and Green Goodwill," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 25(1), pages 17-31, May.
    13. Dobos, Imre, 2007. "Tradable permits and production-inventory strategies of the firm," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 329-333, July.
    14. 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.
    15. 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.
    16. Dobos, Imre, 2005. "The effects of emission trading on production and inventories in the Arrow-Karlin model," International Journal of Production Economics, Elsevier, vol. 93(1), pages 301-308, January.
    17. Nahid Masoudi & Marc Santugini & Georges Zaccour, 2016. "A Dynamic Game of Emissions Pollution with Uncertainty and Learning," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 64(3), pages 349-372, July.
    18. Benchekroun, Hassan & Ray Chaudhuri, Amrita, 2014. "Transboundary pollution and clean technologies," Resource and Energy Economics, Elsevier, vol. 36(2), pages 601-619.
    19. 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.
    20. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
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    Cited by:

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    3. Javier Frutos & Víctor Gatón & Paula M. López-Pérez & Guiomar Martín-Herrán, 2022. "Investment in Cleaner Technologies in a Transboundary Pollution Dynamic Game: A Numerical Investigation," Dynamic Games and Applications, Springer, vol. 12(3), pages 813-843, September.
    4. Li, Shoude & Fu, Tong, 2022. "Abatement technology innovation, worker productivity and firm profitability: A dynamic analysis," Energy Economics, Elsevier, vol. 115(C).
    5. 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.
    6. 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).
    7. Li, Shoude & Zhang, Yingxuan, 2023. "Abatement technology innovation and pollution tax design: A dynamic analysis in monopoly," Energy Economics, Elsevier, vol. 119(C).
    8. 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.
    9. 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).

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