主管:中国科学院
主办:中国优选法统筹法与经济数学研究会
   中国科学院科技战略咨询研究院

中国管理科学 ›› 2025, Vol. 33 ›› Issue (6): 289-299.doi: 10.16381/j.cnki.issn1003-207x.2022.0960cstr: 32146.14/j.cnki.issn1003-207x.2022.0960

• • 上一篇    下一篇

排放权交易与竞争机制下跨界污染控制策略研究

张明1(), 薛林昭2,3, 王文文3   

  1. 1.中国矿业大学经济管理学院,江苏 徐州 221116
    2.武汉大学经济与管理学院,湖北 武汉 430072
    3.中国矿业大学数学学院,江苏 徐州 221116
  • 收稿日期:2022-05-03 修回日期:2022-10-22 出版日期:2025-06-25 发布日期:2025-07-04
  • 通讯作者: 张明 E-mail:zhangmingdlut@163.com
  • 基金资助:
    国家自然科学基金项目(72174195);江苏高校哲学社会科学研究重大项目(2024SJZD064)

A Study of Control Strategy about Transboundary Pollution under Emission Permit Trading and Competition Mechanism

Ming Zhang1(), Linzhao Xue2,3, Wenwen Wang3   

  1. 1.School of Economics and Management,China University of Mining and Technology,Xuzhou 221116,China
    2.School of Economics and Management,Wuhan University,Wuhan 430072,China
    3.School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China
  • Received:2022-05-03 Revised:2022-10-22 Online:2025-06-25 Published:2025-07-04
  • Contact: Ming Zhang E-mail:zhangmingdlut@163.com

摘要:

为解决当前环境治理中存在的跨界污染问题,在排放权交易和竞争机制下,本文构建了微分博弈模型来研究跨界污染影响下寡头企业的最优行为策略和当地污染物存量的动态演化特征。然后,在最优策略下,本文提出并验证了排放权交易价格对各企业满足污染物排放限额和实现污染物中和目标的条件,并分析了最优值函数的相关特性。进一步,本文对比企业在联盟与非联盟情境下的最优行为策略,揭示了企业污染减排力度在不同情境下的差异性。最后,本文通过算例研究了排放权交易价格和竞争强度系数对企业所在地区污染物存量以及自身最优值函数的演化影响。结果表明:(1)非联盟情境下各地区的污染物存量与当地企业的竞争强度成正比,而且跨界污染主要输出地内的企业竞争强度影响力更大。(2)地区内污染物的存量在非联盟情境下与排放权交易价格具有显著的反比例关系。(3)联盟模式能显著降低各区域污染物存量,而且企业获得的综合收益更高,是治理跨界污染的理想模式。

关键词: 排放权交易, 竞争机制, 跨界污染, 微分博弈, 动态规划

Abstract:

To deal with transboundary pollution problems in environmental treatment, a differential game model of transboundary pollution under emission permit trading and competition mechanism is proposed to explore the optimal strategies of oligopoly firms and evolution of local pollutant stocks. Under the optimal strategies, the conditions to the prices that contribute to achieve emission limit and pollution neutralization target are put forward and verified. The related properties of optimal value functions are analyzed. Subsequently, the differences in the emission abatement efforts of firms are revealed by comparing the optimal strategies under alliance and non-alliance scenarios. According to a numerical example, finally, the pollutant stocks and optimal value functions in regions are simulated. Based on the simulation, the effects of price and competition intensity of firms on the pollution stocks are studied. The conclusions show that: (1) the stock of pollutants in both regions is proportional to competitive intensity of local firms in the non-alliance scenario. At the same time, regions with a high proportion of transboundary pollution spillover have a stronger influence of competition intensity. (2) The stock of pollutants is significantly inversely proportional to price only in the non-alliance scenario. (3) Alliance game not only helps to reduce the total amount of pollutants in each region, but also has higher comprehensive benefits for firms, which is the ideal solution for controlling transboundary pollution.

Key words: market trading mechanism, competition mechanism, transboundary pollution, differential game, dynamic programming

中图分类号: