计算机集成制造系统 ›› 2020, Vol. 26 ›› Issue (11): 3156-3166.DOI: 10.13196/j.cims.2020.11.025

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基于微分对策的废旧电器电子设备回收政企协同策略

林思良,马德青,胡劲松+   

  1. 青岛大学商学院
  • 出版日期:2020-11-30 发布日期:2020-11-30
  • 基金资助:
    国家自然科学基金资助项目(71771129)。

Cooperative recollection strategy of WEEE between government and enterprise based on differential game

  • Online:2020-11-30 Published:2020-11-30
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.71771129).

摘要: 考虑到政府在废旧电器电子设备回收中不可替代的作用,为研究政府和企业的最优合作模式,将政府作为独立博弈主体,纳入与企业协同进行废旧产品回收的动态系统中,构建了政府和企业的微分博弈模型。借助贝尔曼连续型动态规划理论,分别分析了政企Nash非合作回收、成本分担回收、协同回收3种回收模式下的回收努力投入反馈均衡策略、企业环保商誉时间演进路径和系统绩效,并对其进行了对比。采用数值算例进行验证,并对影响政府成本分担比例的关键参数进行了敏感性分析。研究发现,政企协同回收废旧电器电子设备下的环保商誉、经济效益、社会效益均优于其他两种情形;政府分担企业回收成本也能够对Nash非合作回收情形的绩效进行Pareto改进。

关键词: 废旧电器电子设备, 环保商誉, 协同策略, 反馈均衡, 微分博弈

Abstract: Considering the irreplaceable role of government in recycling Waste Electrical and Electronic Equipment (WEEE),to research the optimal cooperation mode of government and enterprise,a differential game model of government and enterprise was constructed,which had taken the government as an independent game subject to integrate into dynamic recollection system in collaboration with enterprise.In virtue of Bellman continuous dynamic programming theory,the feedback equilibrium strategy of recollecting effort,time path of environmental goodness of enterprise and overall performance of the system under three recollecting patterns that were Nash non-cooperative,cost-sharing and cooperative pattern were analyzed respectively,and the perform comparative analysis was made.The numerical example was conducted,and the sensitivity analysis to critical parameter influencing the proportion of cost determined by government was confirmed.The result showed that the environmental goodness ,economic and social performance under collaborated pattern were all better than those under other two patterns,and cost-sharing behavior of government could achieve Pareto improvement to the Nash non-cooperative scenario.

Key words: waste electrical and electronic equipment, environmental goodness, cooperative strategies, feedback equilibrium, differential game

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