多目标博弈问题的求解算法  

Solution Algorithm of Multi-objective Game Problem

作　　者：张杰[1] 于洋[1] 雷洋[1] 

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《吉林大学学报（理学版）》2016年第4期700-708,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10671082)

摘　　要：针对多个局中人多个支付函数的多目标博弈问题,研究每个局中人支付函数均衡协调最优值的存在性.证明了博弈系统在均衡协调意义下均衡解的存在性,并给出了求解多目标博弈问题的均衡协调算法.实例分析检验了算法的合理性和有效性.For multi-objective game problem of the plurality players of multiple payment function, we studied the existence of optimal value of each player＇s payment function based on equilibrium coordination. We proved the existence of equilibrium solution in the equilibrium coordination sense of game system, and gave the equilibrium coordination algorithm to solve the problem of multi-objective game. The rationality and validity of the algorithm were tested by example analysis.

关 键 词：完全信息 字典序均衡解 多目标博弈 均衡协调 

分 类 号：O225[理学—运筹学与控制论]