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Based on the perspective of ecological compensation and ecological claims, this paper analyzes the stability of Beijing Tianjin Hebei haze governance alliance by using asymmetric evolutionary game model, and obtains the optimal strategy combination. The results show that: a reasonable ecological compensation standard is very important for enterprises to adopt energy-saving and emission reduction strategies. Only when the total value of ecological claims in the two places is higher than the cost of energy-saving and emission reduction, enterprises will adopt energy-saving and emission reduction strategies, and the implementation of energy-saving and emission reduction strategies will not be shaken by the amount of ecological compensation.