RETRACTED: Evolutionary game theory based evaluation system of green building scheme design

Abstract

Abstract The scale development of the green building is the fundamental way to transform the urban development model and is the result of continuous evolutionary game between local government and developer group. The evolutionary game theory is used to construct the payoff function of the government and developer group under the condition of limited rationality and build duplicator dynamic equation so as to analyze the evolutionary stable equilibrium after the adjustment of the initial strategy and incentive and restriction. Then, the discounted repeated game algorithm is designed, that is, the peril point is obtained by making use of compactness and convexity of the public area made up of a player's feasible utility set, combined with Nash Negotiation Solution. If the game player deviates from the operating point and the amount of later changes, then the deviation will be detected and the punishing operation will be implemented on its power index. Finally, the validity of the proposed algorithm is verified by simulation experiment.