基于纳什均衡的停车场规划模型

Parking Planning Model based on Nash Equilibrium

在停车场规划中为了得到不同利益群体的收益达到均衡的情况下的停车场规划化方案,首先对停车场规划中博弈现象进行了分析,建立了停车场选址的约束模型以及从出行者、政府部门、投资者三方考虑的收益函数模型,最后得到三方的收益函数矩阵,并结合维逐次逼近法和纳什均衡求解中的划线法进行求解,得到符合纳什均衡的策略组合。结果表明,通过对符合纳什均衡的策略组合进行优化调整,在停车场规划中存在使得各方利益达到均衡的方案。

To get parking planning program with balanced interests of different groups, we first analyze the phenomenon of the game in the parking planning process. Then we establish the constraint model of parking location planning and the profit function model taking into consideration of travelers, government departments and investors, and obtain revenue function matrix of the three parties. Combined with dimensionality reduction algorithm, gradual approximation method and the dimension of Nash equilibrium solution method, the combination of strategies consistent with the Nash equilibrium are obtained. The results show that, by adjusting the Nash equilibrium strategies, there are parking planning programs that achieve balanced interests of all parties.