Density game analysis and evolutionary equilibrium of supply side symbiosis behavior of green building considering the market carrying capacity

The process of green building development involves not only the symbiotic changes on the numbers of green and traditional buildings, but also the game payment of the agents. According to the symbiosis theory and evolutionary game theory, a symbiosis model of green building supply side is established, with the construction market carrying capacity considered. The evolutionary stable points and stability conditions of the symbiotic evolutionary model are analyzed and discussed. The results show that the stable condition of the symbiotic evolution between different agents in proposed symbiosis model depends upon the combination of the game payment of different agents, but has nothing to do with the reproduction rate. It is also shown that relaxing the cap on the upper limit or maximum volume of the construction market will lead to both the numbers of green buildings and the numbers of government incentives increase at the same time.