具有失真认知信息的两层冲突环境建模与分析  

Modeling and Analysis Method for Two-Level Conflict Situations with Misperception Information

作　　者：宋业新[1] 袁昊劼[1] 李凌[1] 

机构地区：[1]海军工程大学理学院,武汉430033

出　　处：《复杂系统与复杂性科学》2015年第1期70-73,84,共5页Complex Systems and Complexity Science

基　　金：国家自然科学基金(71171198;60774029;70471031)

摘　　要：针对具有失真认知的两层冲突环境,提出了一种基于两层递阶超对策的建模与分析方法。根据局中人之间策略集与结局偏好上的认知信息,将单方上、下两层局中人与对方局中人之间的冲突分别描述为一个超对策和多个双矩阵对策,构建面向两层冲突环境的两层递阶超对策模型。给出了两层递阶超对策模型递阶超纳什均衡的定义,探讨了递阶超纳什均衡存在的条件及求解分析方法。最后,一个例子说明了模型与方法的实用性和有效性。Aiming at two-level conflict situations with misperception,a modeling and analysis method is proposed based on two-level hierarchical hypergame.According to player′perception information about strategy sets and outcome preference of other players,conflicts between twolevel players from one side and the opponent player are respectively described as a hypergame and several bimatrix games.And then a two-level hierarchical hypergame model（TLHHM）for twolevel conflict situations is constructed.The definition of hierarchical hyper Nash equilibrium（HHNE）for TLHHM is given,and the existence condition and solving method of HHNE are developed.An example illustrates the proposed model and method at the end.

关 键 词：递阶超对策 两层冲突环境 均衡结局 认知信息 

分 类 号：O225[理学—运筹学与控制论]