多冲突环境下的非合作三人对策集结模型  

Integration Model of Non-Cooperative Three-Person Games in Multi-Conflict Situations

作　　者：王发坤[1] 宋业新[1] 

机构地区：[1]海军工程大学理学院,湖北武汉430033

出　　处：《兵工自动化》2010年第10期16-19,共4页Ordnance Industry Automation

基　　金：国家自然科学基金(60774029;70471031)

摘　　要：针对三人多冲突环境,建立了多个非合作三人对策的综合集结模型。根据多冲突环境下局中人受到的资源约束,得到局中人的可行策略串集合和多冲突环境下的综合结局空间,构建局中人在综合结局空间上的合成支付函数,进而建立多冲突环境下的非合作三人对策集结模型。实例说明了模型的实用性和有效性。Aiming at three-person multi-conflict situations,the integration model of non-cooperative three-person games is established.According to the resource restraints of the players,feasible strategy string sets and the synthetic outcome space for multi-conflict situations are obtained.The synthetic outcome payoff function values for each player are calculated,and then the integration model of non-cooperative three-person games in multi-conflict situation is established.An example is provided to illustrate the proposed model.

关 键 词：非合作三人对策 多冲突环境 对策集结 策略串 

分 类 号：O225[理学—运筹学与控制论]