IDEAS home Printed from https://ideas.repec.org/a/gam/jijerp/v16y2019i18p3490-d268592.html
   My bibliography  Save this article

Optimal Coordination Strategy for International Production Planning and Pollution Abating under Cap-and-Trade Regulations

Author

Listed:
  • Baogui Xin

    (Nonlinear Science Center, College of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China)

  • Wei Peng

    (Nonlinear Science Center, College of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China)

  • Minghe Sun

    (Department of Management Science and Statistics, College of Business, The University of Texas at San Antonio, San Antonio, TX 78249-0634, USA)

Abstract

Because both pollution emissions and production policies often are international in scope, it is necessary to find optimal coordination strategies for international production planning and pollution abating. Differential game models are developed for multiple neighboring countries to reach optimal decisions on their production planning and pollution abating under cap-and-trade regulations. Non-cooperative and cooperative differential games are presented to depict the optimal tradeoffs between production planning and pollution abating. Hamilton-Jacobi-Bellman (HJB) equations are then employed to analyze the asymmetric and symmetric feedback solutions. Numerical simulations are used to illustrate the results. Five different dividends are also discussed. With the proposed strategies, more improvement will be directed toward production supplies and environmental issues than ever before.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jijerp:v:16:y:2019:i:18:p:3490-:d:268592
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1660-4601/16/18/3490/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1660-4601/16/18/3490/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Stefan Wrzaczek & Ekaterina Shevkoplyas & Sergey Kostyunin, 2014. "A Differential Game Of Pollution Control With Overlapping Generations," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 1-14.
    2. Nordhaus, William D, 1991. "To Slow or Not to Slow: The Economics of the Greenhouse Effect," Economic Journal, Royal Economic Society, vol. 101(407), pages 920-937, July.
    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. Paul Tae-Woo Lee & Oh Kyoung Kwon & Xiao Ruan, 2019. "Sustainability Challenges in Maritime Transport and Logistics Industry and Its Way Ahead," Sustainability, MDPI, vol. 11(5), pages 1-9, March.
    5. Wei Yu & Baogui Xin, 2013. "Governance Mechanism for Global Greenhouse Gas Emissions: A Stochastic Differential Game Approach," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-13, May.
    6. Daming You & Ke Jiang & Zhendong Li, 2018. "Optimal Coordination Strategy of Regional Vertical Emission Abatement Collaboration in a Low-Carbon Environment," Sustainability, MDPI, vol. 10(2), pages 1-18, February.
    7. 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.
    8. Masoudi, Nahid & Zaccour, Georges, 2013. "A differential game of international pollution control with evolving environmental costs," Environment and Development Economics, Cambridge University Press, vol. 18(6), pages 680-700, December.
    9. 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.
    10. Andrea Di Liddo, 2018. "Price and Treatment Decisions in Epidemics: A Differential Game Approach," Mathematics, MDPI, vol. 6(10), pages 1-19, October.
    11. Michèle Breton & Lucia Sbragia & Georges Zaccour, 2010. "A Dynamic Model for International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 45(1), pages 25-48, January.
    12. Moreaux, Michel & Withagen, Cees, 2015. "Optimal abatement of carbon emission flows," Journal of Environmental Economics and Management, Elsevier, vol. 74(C), pages 55-70.
    13. 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.
    14. Katharina Schüller & Kateřina Staňková & Frank Thuijsman, 2017. "Game Theory of Pollution: National Policies and Their International Effects," Games, MDPI, vol. 8(3), pages 1-15, July.
    15. Joeri Rogelj & Michel den Elzen & Niklas Höhne & Taryn Fransen & Hanna Fekete & Harald Winkler & Roberto Schaeffer & Fu Sha & Keywan Riahi & Malte Meinshausen, 2016. "Paris Agreement climate proposals need a boost to keep warming well below 2 °C," Nature, Nature, vol. 534(7609), pages 631-639, June.
    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. Jian Feng & Bin Liu, 2018. "Dynamic Impact of Online Word-of-Mouth and Advertising on Supply Chain Performance," IJERPH, MDPI, vol. 15(1), pages 1-16, January.
    18. David G. Victor & Keigo Akimoto & Yoichi Kaya & Mitsutsune Yamaguchi & Danny Cullenward & Cameron Hepburn, 2017. "Prove Paris was more than paper promises," Nature, Nature, vol. 548(7665), pages 25-27, August.
    19. Xin, Baogui & Sun, Minghe, 2018. "A differential oligopoly game for optimal production planning and water savings," European Journal of Operational Research, Elsevier, vol. 269(1), pages 206-217.
    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. Wei Peng & Baogui Xin & Yekyung Kwon, 2019. "Optimal Strategies of Product Price, Quality, and Corporate Environmental Responsibility," IJERPH, MDPI, vol. 16(23), pages 1-24, November.
    2. Hongxia Sun & Jie Yang & Yang Zhong, 2020. "Optimal Decisions for Two Risk-Averse Competitive Manufacturers under the Cap-and-Trade Policy and Uncertain Demand," IJERPH, MDPI, vol. 17(3), pages 1-17, February.

    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. 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.
    2. 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.
    3. 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).
    4. Yiwen Chen & Nora Paulus & Xi Wan & Benteng Zou, 2024. "To Deploy or Not to Deploy CCS Abatement, and When : A Differential Game Perspective," DEM Discussion Paper Series 24-07, Department of Economics at the University of Luxembourg.
    5. 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.
    6. 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.
    7. Biancardi, Marta & Villani, Giovanni, 2015. "The effects of R&D investments in international environmental agreements with asymmetric countries," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 30-39.
    8. 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.
    9. 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.
    10. Li, Liming & Chen, Weidong, 2021. "The impact of subsidies in a transboundary pollution game with myopic players," Omega, Elsevier, vol. 103(C).
    11. Boucekkine, Raouf & Fabbri, Giorgio & Federico, Salvatore & Gozzi, Fausto, 2021. "From firm to global-level pollution control: The case of transboundary pollution," European Journal of Operational Research, Elsevier, vol. 290(1), pages 331-345.
    12. Wei Peng & Baogui Xin & Yekyung Kwon, 2019. "Optimal Strategies of Product Price, Quality, and Corporate Environmental Responsibility," IJERPH, MDPI, vol. 16(23), pages 1-24, November.
    13. 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.
    14. Raouf Boucekkine & Carmen Camacho & Weihua Ruan & Benteng Zou, 2022. "Why and when coalitions split? An alternative analytical approach with an application to environmental agreements," Working Papers halshs-03676670, HAL.
    15. Kakeu, Johnson & Agbo, Maxime, 2022. "International transfer to reduce global inequality and transboundary pollution," Energy Economics, Elsevier, vol. 114(C).
    16. 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.
    17. Mason, Charles F. & Polasky, Stephen & Tarui, Nori, 2017. "Cooperation on climate-change mitigation," European Economic Review, Elsevier, vol. 99(C), pages 43-55.
    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. Lina Mallozzi & Stefano Patri & Armando Sacco, 2015. "Differential Game Approach for International Environmental Agreements with Social Externalities," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(3), pages 135-154, December.
    20. Huijie Li & Deqing Tan, 2024. "How to Control Waste Incineration Pollution? Cost-Sharing or Penalty Mechanism—Based on Two Differential Game Models," Decision Analysis, INFORMS, vol. 21(2), pages 91-109, June.

    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:gam:jijerp:v:16:y:2019:i:18:p:3490-:d:268592. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.