Consumer behavior is an important factor influencing the green production of enterprises from the demand side, in order to explore the game relationship between producers and consumers under the government’s double subsidy policy, the article combines the factors affecting the choice of consumers and producers, and based on the replication of dynamic equations, constructs a game model of the evolution of production behavior and consumption behavior and a simulation to analyze the evolution of the system. Through an in-depth analysis of the Chinese refrigerator market, we explore how different parameter settings affect the choice of strategies for system evolution. These parameters include the initial probability, the multiple ways of subsidies provided by the government, the product price, the perceived value of consumers, and the value of perceived loss. The results of the simulation experiment show that the whole system is more likely to evolve in the direction of green production and green consumption if firms have a stronger initial willingness toward green production and consumers are more inclined to green consumption. In addition, when the government implements both purchase subsidies and production subsidies, it can push the system to reach a steady state more quickly than if only a single subsidy measure is used. At the same time, price changes of different types of refrigerators can affect the evolution strategy of the system in different ways. After a series of analyses, we finally provide feasible suggestions for promoting green production by enterprises and green consumption by consumers, and at the same time, make a certain contribution to the reduction of air pollution.