摘要
现实社会生活中存在局中人的博弈策略或收益值是变元(如时间、环境、空间、制度或相关其它变元)映射的一类博弈问题。本文从灰信息变元的角度给出了的泛函区间灰数的概念,设计了泛函区间灰数的表征形式,提供了泛函区间灰数之间的大小比较与运算法则。分析基于不确定信息的泛函博弈问题,并描述其形式与框架,可以展示不确定信息下博弈的特征、性质、战略表达形式。运用优化理论及其相关技术方法,设计基于不确定信息优化的求解算法,即通过研究和构造泛函博弈收益值的广义满秩扩充方阵求解最优博弈策略和博弈收益值问题,不仅为现实生活中的不确定信息问题提供新的解题思路,更为实际问题的解决提供新的方法参考。最后结合案例"盗版与打击盗版"问题通过计算机仿真对其博弈均衡结果进行详细的对比分析,说明了本文提出基于信息变元泛函博弈模型的科学性和计算结果的精确性。
In real social life, the game strategy or profits with players involved is a variables mapping prob- lem, such as time, space, environment, system or other related variables. From the angle of grey informa- tion variable, in this paper, the concept is given and the representation of functional interval grey number is designed. What＇s more, comparison and arithmetic rules between them are provided. Analysing and de- scribing the form and frame of uncertain information based functional game problems can show the game features, properties and strategic form. Using optimization theory and its related technology to design the optimization algorithm based on uncertain information, not only ways to solve uncertain information prob- lem in real life are provided, but also gives a new method for reference is proposed to solve the practical problems. Finally, by means of computer simulation, a case of “piracy and anti-piracy ” provides a de- tailed comparative analysis which illustrates the scientificity and the accuracy of the information based vari- able functional game model.
出处
《中国管理科学》
CSSCI
北大核心
2014年第2期112-118,共7页
Chinese Journal of Management Science
基金
国家自然科学基金资助项目(70971064)
广义虚拟经济研究资助项目(GX2010-1015(Y)
GX2010-1003(Z))
江苏高校哲学社会科学重点研究基地重大项目(2010JDXM014)
关键词
灰信息变元
区间灰数
泛函博弈
grey information variable
interval grey numbers
functional game
