The Study on Model of Functional Zero-sum Game and Its Solution Based on Grey Information

被引：0

作者：

Fang, Zhigeng ^{[1
]}

Yang, Baohua ^{[1
]}

Feng, Xi ^{[2
]}

Li, Yaping ^{[2
]}

He, Shawei ^{[2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Inst Grey Syst Studies, Nanjing, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Ctr Sci Dev Stud, Nanjing, Peoples R China

来源：

2011 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC) | 2011年

基金：

中国国家自然科学基金;

关键词：

the grey zero-sum functional game; the matrix game; the grey mixed strategy; the optimal strategy; UNCERTAINTY; NETWORKS;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Although profits of players in game cannot be accurately known in advance, such issue can be regarded as the mapping game with certain conditions and variables (time, etc.). Based on the fundamental principles of standard grey intervals, the functional zero-sum game has been established. Thereafter, it is the discussion of absolute strategies, mixed strategies, optimal strategies, and the condition of their existence. Finally, a case study of anti-piracy combat is applied to verify, modify, and validate the theory and approach proposed in this paper.

引用

页码：1891 / 1896

页数：6

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