The Proportional Split-off Solution for Graph Games and Application in Regional Air Pollution Control
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.
air pollution controlproportional split-off solutiongraph gameaxiomatization