Abstract: In order to analyze the influence of uncertain factors on low-carbon diffusion in heterogeneous agents, a stochastic evolutionary game model was constructed considering enterprises and consumers, the stability of this model analyzed, and the corresponding three stability scenarios presented. Moreover, the scenarios were simulated and verified through an example of new energy vehicle BYD E6. The research results show that when the proportions of enterprises with low-carbon strategy and consumers with low-carbon consumption are small, the success of low-carbon diffusion cannot be realized no matter what the noise intensity is, and with the above two proportions increasing, low-carbon strategy and low-carbon consumption can diffuse successfully in enterprises and consumers respectively, and low-carbon diffusion can arrive at effective stability successfully under different noise intensities, after experiencing a chaotic state.

Key words: low-carbon diffusion, stability, heterogeneous agents, stochastic evolutionary game, noise