具有异质行动时间区间的二人微分博弈模型

A Two-player Differential Game with Different Planning Horizons

研究了局中人具有不同行动时间区间的二人微分博弈问题,并通过该博弈模型分析了企业搬迁对所在地区污染状况的影响。运用逆向计算的方式,求解了具有两个时期的非合作二人微分博弈的纳什均衡。随后通过适当地定义特征函数,构造二人合作微分博弈,并研究了其相应的Shapley值。利用仿真分析展示了合作对企业排污成本和当地污染状态所带来的影响。

A two-player differential game with different planning horizons is studied. The applicaiton of this game is to analyse the influence on regional pollution when a company relocation takes place. The Nash Equilibrium of the non-cooperative game is calculated by a backward method.Then a corresponding cooperative game is constructed by definiting the characteritic function in a suitable way. AndShapley value is chosen as the cooperative solution in this game. Moreover, by using the simulation, the variation of the players’ payoff and the state of pollution when the cooperation occurs are presented.