公交优先技术方案选择的博弈模型

Game Theory Model for Choice of Public Transportation Priority Scenarios

公共交通是城市交通的重要组成部分,合理选择公交优先技术是提高公共交通效率最为有效的手段.对于多属性方案的选择问题,目前常用的比选方法基于AHP理论讨论权重具有较大不精确性和复杂性.本文采用了博弈论的理论,通过对公交优先系统中参与者集合N、战略集合S和收益函数u的确定,建立了一种基于博弈论的公交优先技术方案选择博弈模型来量化方案选择问题;在此基础上分析了NASH均衡的存在性,并且给出了一般情况下的重复剔除劣战略和特殊情况下的混合策略两种模型求解方法以及公交优先技术方案选择博弈模型的流程图;最后通过算例分析,验证了博弈模型应用于公交优先技术方案选择的可行性.

Public transportation is the most important part of the urban transportation and its priority is the most effective method to improve the efficiency of public transportation.For the choice of public transportation priority,the traditional methods based on AHP are not very imprecise and complicated when weights are being discussed.This paper introduces the game theory and sets up,based on it,the choice model for the public transportation priority by identifying the function of the payoff and the muster of attendee and stratagem.In addition,it analyses the existence of NASH equilibrium,and puts forward the arithmetic of Iterated Elimination of Strictly Dominated Strategies in the general condition,the Integrated Strategies in the special condition and the flow chart of the model.At last,it verifies the feasibility of the model with the given example.