Abstract: Based on the Stackelberg differential game model, a game analysis framework between the government and forestry carbon sink enterprises in terms of carbon exchange transaction price, transaction volume and transfer payment level is established, and the mechanism of forming carbon sink transaction price through game is studied. The results show that with the improvement of the forestry carbon trading market, the price of the carbon sink Stackelberg differential game is decreasing year by year; the total amount of carbon sink transactions is increasing year by year; the level of government transfer payment is increasing year by year; and the government and forestry carbon sink enterprises have been increasing for many years. After years of game between the government and forestry carbon sink enterprises, all three have stabilized, which provides reference for the government to formulate tax policies and decision-making for forestry carbon sink enterprises, and promote the improvement and development of forest carbon sinks and carbon trading markets.

Key words: forestry carbon sink, government, enterprise, Stackelberg differential game, price mechanism