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Chinese Journal of Management Science

Chinese Journal of Management Science ›› 2021, Vol. 29 ›› Issue (8): 94-105.doi: 10.16381/j.cnki.issn1003-207x.2019.0224

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A Study on the Symbiotic Model for Green and Conventional Buildings Considering the Game Payoff Matrix and Limited Market Capacity

HUANG Ding-xuan1,2, LI Shu-liang3,4, WU Yong-jiao2, LU Rui5   

  1. 1. School of Management, Chongqing University of Technology, Chongqing 400054, China;
    2. School of Business, Guilin University of Technology, Guilin 541004, China;
    3. Westminster Business School, the University of Westminster, London, NW1 5LS, UK;
    4. School of Economics & Management, Southwest Jiaotong University, Chengdu 610031, China;
    5. Economics and Management School, Hangzhou Normal University, Hangzhou 311121, China
  • Received:2019-02-19 Revised:2019-07-10 Online:2021-08-20 Published:2021-08-13

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Abstract: Green construction is an important direction for the future of the construction industry, while developing green buildings is an effective way to reduce greenhouse gas emissions. Designing an incentive mechanism for green building projects is one of the main contents of project management research. However, traditional game models or evolutionary game models cannot consider the symbiotic changes of the number of different populations at the same time when studying the mechanism of the interaction between them. Aiming to solve this problem on the basis of the density game theory by taking into account the limited capacity for green and traditional buildings in the micro-market, the symbiosis equation and game payoffmatrix for greenand traditional building projects are combined, and an independent symbiosis density game model of green and traditional buildings is proposed. The stability of the model is analyzed using the stability theory of ordinary differential equations. Furthermore, the dynamic characteristics of different populations in the game model considering the payoffmatrix are simulated using the system dynamics softwareVensim.
It is discovered that there is a unique symbiotic stability point in the model, which is related to the market capacity and game payoffmatrix. The stability condition of our model is closely relevant to the payoffmatrix for green and traditional buildings, but has nothing to do with the net replication rate of green and traditional buildings. The effectiveness of policy incentives is closely related to the behavior choice bythe micro agents. The simulation results based on the realcase from China show that the model can reveal and explain the symbiotic developing process for green and traditional buildings in China. The model and simulation results can also provide effective technical support and theoretical basis for promoting the development of green buildings, and can offer a good reference for other decision-making problems that need to consider both population symbiosis and mutual games.

Key words: green buildings, density game, incremental revenue, incremental costs, policy incentive, simulation

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