引用本文:司凤山,王晶,戴道明.基于碳排放限额和低碳销售努力的博弈模型分析及控制[J].控制与决策,2020,35(2):357-366
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基于碳排放限额和低碳销售努力的博弈模型分析及控制
司凤山,王晶, 戴道明
(安徽财经大学管理科学与工程学院,安徽蚌埠233030)
摘要:
以双渠道供应链为研究对象,在考虑碳排放限额和低碳销售努力的基础上,分别构建单周期静态博弈模型和多周期动态博弈模型,研究最优决策和系统稳定性问题.在静态模型中,给出集中决策和分散决策下的最优策略解析式;在动态模型中,探究博弈系统的局部渐近稳定性条件,讨论时滞等参数对系统稳定性的影响,并对失稳系统进行有效控制. 研究表明:提高碳排放限额能够增加供应链系统利润;随着低碳销售努力的增加,供应链系统利润和制造商利润均呈下降趋势;不合理的延迟策略将导致系统失去稳定.
关键词:  碳排放限额  低碳销售努力  微分价格博弈  Hopf分岔  稳定性  控制
DOI:10.13195/j.kzyjc.2018.0722
分类号:F224;TP273
基金项目:安徽省教育厅高校人文社会科学研究重点项目(SK2017A0434);安徽省教育厅高校优秀青年人才支持计划项目(gxyq2017101);安徽省哲学社会科学规划青年项目(AHSKQ2016D29);安徽省教育厅自然科学研究重大项目(KJ2015ZD02).
Analysis and control of game model based on carbon emission quota and low carbon sales efforts
SI Feng-shan,WANG Jing,DAI Dao-ming
(School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu233030,China)
Abstract:
Considering the carbon emission quota and low carbon sales efforts in the dual-channel supply chain, the single period static game model and the multi-period dynamic game model are constructed to explore the optimal decision and the system stability respectively. In the static model, the optimal decision analytic formulas under the centralized decision and the decentralized decision are given. In the dynamic model, the local asymptotic stability conditions of the game system are explored, and the effect of delay parameters on the stability of the system is discussed. In addition, the instability system is effectively controlled. The study shows that the increase of carbon emission quota can increase the profit of the supply chain system; with the increase of low carbon sales efforts, the profits of the supply chain system and manufacturer will be reduced; the unreasonable delay parameter will lead to instability of the system.
Key words:  carbon emission quota  low carbon sales efforts  differential price game  Hopf bifurcations  stability  control

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