• 论文 •

### 碳排放权交易约束下供应链网络成员企业微分博弈分析

1. 中国计量大学经济与管理学院, 杭州  310018
• 出版日期:2018-10-25 发布日期:2018-12-06

YANG Yuxiang,ZHANG Baoyou, MENG Lijun. Differential Game Analysis of Member Firms for Supply Chain Network Under Marketable Carbon Emission Permits[J]. Journal of Systems Science and Mathematical Sciences, 2018, 38(10): 1172-1185.

### Differential Game Analysis of Member Firms for Supply Chain Network Under Marketable Carbon Emission Permits

YANG Yuxiang ,ZHANG Baoyou, MENG Lijun

1. China Jiliang University, College of Economics and Management, Hangzhou 310018
• Online:2018-10-25 Published:2018-12-06

A supply chain network including multi manufacturers and multi demand areas is developed. From a long term and dynamic perspective, we study decision behavior of member firms in supply chain network under marketable carbon emission permits. Non cooperative competition relationship of the member firms is analyzed. A continuous time dynamic model is developed based on differential variational inequality. We have shown that the differential variational inequality is equivalent to the problem of nonlinear complementary problem. A successive linearization algorithm is proposed. Finally, numerical examples are proposed. In the whole planning horizon, we analyze the impact of different production costs on production rates of product, carbon emission rates, investment rates of carbon abatement emission, carbon emission stocks, carbon emission permits, product prices, and permit prices. Specially, we analyze the impact of environmental costs on investment rates of carbon abatement emission of every manufacturer.

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 [1] 杨璐，张成科，朱怀念. 带泊松跳的线性Markov切换系统的随机微分博弈及在金融市场中的应用[J]. 系统科学与数学, 2018, 38(5): 537-552. [2] 曹铭, 朱怀念, 张成科, 程硕. 奇异随机Markov跳变系统的$N$人Nash博弈问题[J]. 系统科学与数学, 2017, 37(3): 700-712. [3] 杨鹏. 具有交易费用和负债的随机微分博弈[J]. 系统科学与数学, 2016, 36(7): 1040-1045. [4] 仇翔，俞立，刘安东. 时滞供应链网络系统的牛鞭效应切换控制方法[J]. 系统科学与数学, 2016, 36(6): 810-821. [5] 熊清伟，魏平. 基于多Agent供应链网络企业竞合关系演化分析[J]. 系统科学与数学, 2015, 35(7): 779-787. [6] 仇翔，俞立，刘安东. 时滞供应链网络系统的切换模型预测控制方法[J]. 系统科学与数学, 2015, 35(4): 407-418. [7] 杨康，张仲义.  基于节点重要性的供应链网络风险跨层次评估研究[J]. 系统科学与数学, 2015, 35(1): 110-120. [8] 朱怀念，植璟涵，张成科，宾宁. 带Markov切换参数的线性二次零和随机微分博弈[J]. 系统科学与数学, 2013, 33(12): 1391-1403. [9] 杨康，张仲义. 基于复杂网络理论的供应链网络风险传播机理研究[J]. 系统科学与数学, 2013, 33(10): 1224-1232. [10] 仇莉. 具有随机需求的供应链网络缺货概率的计算方法[J]. 系统科学与数学, 2012, 32(9): 1062-1071. [11] 周岩，胡劲松，赵海瑞，逢晓敏. 具有产能约束和价格干预的闭环供应链网络双渠道均衡[J]. 系统科学与数学, 2012, 32(9): 1072-1091. [12] 杨玉香，黄祖庆，周根贵. 集权制下闭环供应链网络最优内生污染税问题[J]. 系统科学与数学, 2012, 32(11): 1354-1365. [13] 张浩，杨浩雄，郭金龙. 供应链网络可靠性的多层Bayes估计模型[J]. 系统科学与数学, 2012, 32(1): 45-52. [14] 周根贵，杨玉香. 闭环供应链网络设施Stackelberg 对策问题[J]. 系统科学与数学, 2011, 31(11): 1491-1503.