The use of big data technology is significant for the market competition of two-side enterprises. However, big data technology is likely to become a tool for discriminatory pricing, causing damage to the benefit-relevant parties. This paper constructs a four party evolutionary game model between two-side enterprises, governments, suppliers, and consumers. Lotka-Volterra model is introduced to explore the evolutionary impact of the supervisory behaviors of the benefit-relevant parties on the diffusion of big data discriminatory pricing (BDDP) in two-side enterprises. Using MATLAB simulation tools, the evolution game and diffusion evolution model are mathematically deduced, and the analogue simulation is used for correlation analysis.This paper can help two-side enterprises, governments, suppliers, and consumers better understand the diffusion law of BDDP and more accurately predict the development of it. At the same time, it provides a quantitative theoretical basis for the reasonable decision-making of governments, suppliers, and consumers.