基于Nash均衡约束的竞争性评估方法研究  

Study of competitive assessment approach based on restriction of Nash equilibrium

作　　者：余雁[1] 梁 

机构地区：[1]中国科学技术大学商学院,合肥230026

出　　处：《管理科学学报》2006年第1期8-13,共6页Journal of Management Sciences in China

基　　金：国家863基金资助项目(2002AA46361);国家自然科学基金资助项目(70371023)

摘　　要：基于多指标决策模型(MCDM),研究了在Nash均衡约束的基础上,如何根据各决策单元(DMU)本身的特点来获取不同DMU的优势权重从而达到最终决策时自身的优势最大化.从新的角度,引入Nash均衡约束,提出了基于Nash均衡约束的多指标决策竞争性评估模型.在主体自身优势最大化的基础上,增加Nash均衡约束,通过约束参数的不断迭代,达到各决策单元的优势均衡,给出了一种新的基于优势均衡的客观确定权重的方法.Based on a multiple criteria decision making （MCDM） model, this paper investigates how the set of criteria weights （or weight-set thereafter） is determined to compete for alternatives＇ maximum advantages according to its own characteristic of alternatives based on the restriction of Nash equilibrium. Each alternative is called a decision making unit （DMU）. We introduce the restriction of Nash equilibrium and present the model of competitive assessment based on the restriction of Nash equilibrium in multi-criteria decision making （CANEM）. Each DMUs will get its optimum weight-set according to CANEM and be ranked by the result calculated by optimum weight-set finally. At the same time the advantages＇ equilibrium of all DMUs will be achieved. This paper presents a new method to get objective weight-set based on advantages＇ equilibrium of all DMUs.

关 键 词：决策单元 多指标决策 权重 约束参数 

分 类 号：N94[自然科学总论—系统科学]