Abstract: With the excessive consumption of energy, abnormal climate and environmental pollution becoming increasingly prominent, countries all over the world began to advocate low-carbon economy, which is the general trend of world economic development. Under the constraints of relevant laws and regulations, more and more enterprises gradually realize the importance of reducing carbon emissions and begin to improve the produce technics and produce low-carbon products. At the same time, with the deepening of low-carbon awareness, consumers with low-carbon awareness gradually tend to buy low-carbon products. The higher the emission reduction of products, the greater the market demand. However, the carbon emission reduction of products still needs to be transmitted to consumers through the low-carbon promotion of retailers, which shows that on the one hand, product emission reduction needs to rely on the emission reduction efforts of manufacturers, On the other hand, retailers' promotion of low-carbon products is also of great significance. Therefore, it is very important to study product emission reduction and low-carbon promotion from the perspective of supply chain.

Key words: differential game; supply chain; carbon reduction; fairness preference