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The transformation from the building material industry (BMI) to green BMI (GBMI) is not only of great significance to the upgrading of traditional BMI, but also has a pivotal role in promoting the sustainable development of cities. This paper studies the governance mechanism of the BMI in transformation to GBMI from the perspective of supply-side and demand-side of green building. First, evolutionary game theory is used to develop two three-party dynamic game models including building materials enterprises (BME), government, building developers (BD) and building consumers (BC). Second, numerical simulation experiment method is used to study the multi-stage governance mechanism based on the model deduction and the theoretical analysis of green transformation. The numerical simulation results show that the infrastructure construction projects on green building is an important governance mechanism for …