IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v535y2019ics0378437119314256.html
   My bibliography  Save this article

A differential game analysis of multipollutant transboundary pollution in river basin

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119314256
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.122484?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    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. 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.
    17. 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.
    18. Benchekroun, Hassan & Ray Chaudhuri, Amrita, 2014. "Transboundary pollution and clean technologies," Resource and Energy Economics, Elsevier, vol. 36(2), pages 601-619.
    19. 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.
    20. 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.
    21. repec:bla:scandj:v:94:y:1992:i:3:p:409-24 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Qiao Peng & Yao Xiao, 2020. "Will Third-Party Treatment Effectively Solve Issues Related to Industrial Pollution in China?," Sustainability, MDPI, vol. 12(18), pages 1-15, September.
    2. Qianwen Wu & Qiangqiang Wang & Yongwu Dai, 2023. "Analysis of Strategy Selection in Third-Party Governance of Rural Environmental Pollution," Sustainability, MDPI, vol. 15(11), pages 1-19, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Calvo, Emilio & Rubio, Santiago J., 2013. "Dynamic Models of International Environmental Agreements: A Differential Game Approach," International Review of Environmental and Resource Economics, now publishers, vol. 6(4), pages 289-339, April.
    3. 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.
    4. Santiago J. Rubio, 2001. "International Cooperation In Pollution Control," Working Papers. Serie AD 2001-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    5. Smala Fanokoa, Pascaux & Telahigue, Issam & Zaccour, Georges, 2011. "Buying cooperation in an asymmetric environmental differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 935-946, June.
    6. Sedakov, Artem & Qiao, Han & Wang, Shouyang, 2021. "A model of river pollution as a dynamic game with network externalities," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1136-1153.
    7. 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.
    8. 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.
    9. Mason, Charles F. & Polasky, Stephen & Tarui, Nori, 2017. "Cooperation on climate-change mitigation," European Economic Review, Elsevier, vol. 99(C), pages 43-55.
    10. 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.
    11. 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.
    12. Hassan Benchekroun & Amrita Ray Chaudhuri, 2015. "Cleaner Technologies and the Stability of International Environmental Agreements," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(6), pages 887-915, December.
    13. GERMAIN, Marc & TOINT, Philippe & TULKENS, Henry & DE ZEEUW, Aart, 1998. "Transfers to sustain core-theoretic cooperation in international stock pollutant control," LIDAM Discussion Papers CORE 1998032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Charles F. Mason, 2021. "Transboundary Externalities and Reciprocal Taxes: A Differential Game Approach," Strategic Behavior and the Environment, now publishers, vol. 9(1-2), pages 27-67, July.
    15. Charles F. Mason & Victoria I. Umanskaya & Edward B. Barbier, 2018. "Trade, Transboundary Pollution, and Foreign Lobbying," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(1), pages 223-248, May.
    16. Li, Shoude & Zhang, Yingxuan, 2023. "Abatement technology innovation and pollution tax design: A dynamic analysis in monopoly," Energy Economics, Elsevier, vol. 119(C).
    17. Charles F Mason, 2017. "Climate Change and Migration: A Dynamic Model," CESifo Economic Studies, CESifo Group, vol. 63(4), pages 421-444.
    18. 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.
    19. Li, Shoude & Fu, Tong, 2022. "Abatement technology innovation, worker productivity and firm profitability: A dynamic analysis," Energy Economics, Elsevier, vol. 115(C).
    20. de Frutos, Javier & Martín-Herrán, Guiomar, 2019. "Spatial vs. non-spatial transboundary pollution control in a class of cooperative and non-cooperative dynamic games," European Journal of Operational Research, Elsevier, vol. 276(1), pages 379-394.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119314256. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.