图博弈的比例分离解及其在区域大气污染治理中的应用

The Proportional Split-off Solution for Graph Games and Application in Regional Air Pollution Control

近年来,环京津地区的大气污染治理问题一直是国家重点关注的环境问题,治理成本的分摊机制是解决该地区大气污染问题的关键.聚焦环京津地区大气污染联合治理问题,结合各城市的地理位置,采用具有图结构合作博弈(简称图博弈)模型进行研究.首先,将经典合作博弈中的比例分离解推广到图博弈中,提出了图博弈的比例分离解;其次,基于一致性公理探讨了图博弈比例分离解的公理刻画问题.随后,将图博弈的比例分离解应用于环京津地区的大气污染治理的成本分摊问题中,并通过实际算例以及与其他分配规则的对比分析,探讨了图博弈比例分离解的合理性.

In recent years,the control of air pollution in Beijing-Tianjin area has always been the Environmental issues of national priority,and the cost allocation mechanism is the key to solve the air pollution problem in this region.This paper focuses on the joint control of air pollution around Beijing and Tianjin,and adopts the cooperative game model with graph structure(graph game)based on the geographical location of each city.Firstly,the proportional split-off solution of the classical cooperative game is extended to graph game,and the proportional split-off solution of graph game is proposed.Secondly,based on the axiom of consistency,this paper discusses the axiom characterization of proportional split-off solution of graph games.Then,the proportional split-off solution of graph game is applied to the cost allocation problem of air pollution control in Beijing-Tianjin area,and the rationality of the proportional split-off solution of graph game is discussed through practical examples and comparison with other allocation rules.