There are more than 300 secondary lead enterprises in China, serious environmental pollution is a major issue which must be resolved. This paper establishes a 2 × 2 asymmetric evolution game model between secondary lead enterprises and environmental protection departments, and analyses evolutionary process of the secondary lead enterprises whether to take measures to avoid environmental pollution or not, environmental protection departments whether to monitor or not. This paper gives evolutionary stability conditions of the two game players, and shows effect of some key parameters of the evolution game model on the ESS by means of numerical experiments. We indicate some important factors, including costs and benefits of secondary lead enterprises, tax incentives and penalties of environmental protection departments, rewards and penalties to environmental protection departments as well as cost of supervision.
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