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A differential game analysis of multipollutant transboundary pollution in river basin

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  • Li, Huiquan
  • Guo, Genlong

Abstract

In this paper, we present a differential game model of watershed multi-pollutant transboundary pollution in which the pollutants can be either technological substitutes or complements, and the abatement costs of two pollutants are not separable. It is the first time that the multi-pollutant is derived in a cooperative differential game on transboundary pollution control. The results are discussed with some illustrative examples under the cases of the pollutants are substitutes and complements. Our results show that (i) the system always admits saddle point steady-state equilibrium under the non-cooperative and cooperative games,respectively; (ii) when the pollutants are substitutes or complements, the upstream region optimal emission levels in the cooperative game are lower than that in the non-cooperative game; while the downstream region optimal emission levels in the cooperative game are equal to that in the non-cooperative game; (iii) the upstream region optimal pollution stocks in the cooperative game are lower than that in the non-cooperative game under the case when the pollutants are substitutes or complements.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119314256
    DOI: 10.1016/j.physa.2019.122484
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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. 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.
    3. 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.
    4. 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.
    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. 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.
    7. repec:bla:scandj:v:94:y:1992:i:3:p:409-24 is not listed on IDEAS
    8. 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.
    9. Engelbert J. Dockner & Kazuo Nishimura, 1999. "Transboundary Pollution in a Dynamic Game Model," The Japanese Economic Review, Japanese Economic Association, vol. 50(4), pages 443-456, December.
    10. Zhao, Laijun & Li, Changmin & Huang, Rongbing & Si, Steven & Xue, Jian & Huang, Wei & Hu, Yue, 2013. "Harmonizing model with transfer tax on water pollution across regional boundaries in a China’s lake basin," European Journal of Operational Research, Elsevier, vol. 225(2), pages 377-382.
    11. Wei, Shouke & Yang, Hong & Song, Jinxi & Abbaspour, Karim C. & Xu, Zongxue, 2012. "System dynamics simulation model for assessing socio-economic impacts of different levels of environmental flow allocation in the Weihe River Basin, China," European Journal of Operational Research, Elsevier, vol. 221(1), pages 248-262.
    12. Van Long, Ngo, 2012. "Applications of Dynamic Games to Global and Transboundary Environmental Issues: A Review of the Literature," Strategic Behavior and the Environment, now publishers, vol. 2(1), pages 1-59, January.
    13. Moslener, Ulf & Requate, Till, 2009. "The dynamics of optimal abatement strategies for multiple pollutants--An illustration in the Greenhouse," Ecological Economics, Elsevier, vol. 68(5), pages 1521-1534, March.
    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. Shuhua Chang & Xinyu Wang, 2015. "Modelling and Computation in the Valuation of Carbon Derivatives with Stochastic Convenience Yields," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-35, May.
    16. 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.
    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. 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.
    19. Benchekroun, Hassan & Ray Chaudhuri, Amrita, 2014. "Transboundary pollution and clean technologies," Resource and Energy Economics, Elsevier, vol. 36(2), pages 601-619.
    20. Moslener, Ulf & Requate, Till, 2007. "Optimal abatement in dynamic multi-pollutant problems when pollutants can be complements or substitutes," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2293-2316, July.
    21. 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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