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
收藏
页码：1891 / 1896
页数：6
相关论文
共 30 条
  • [1] A zero-sum electromagnetic evader-interrogator differential game with uncertainty
    Banks, H. T.
    Hu, Shuhua
    APPLICABLE ANALYSIS, 2012, 91 (04) : 645 - 674
  • [2] Zero-Sum Matrix Game with Payoffs of Dempster-Shafer Belief Structures and Its Applications on Sensors
    Deng, Xinyang
    Jiang, Wen
    Zhang, Jiandong
    SENSORS, 2017, 17 (04)
  • [3] Bipartite containment control of multi-agent systems subject to adversarial inputs based on zero-sum game
    Fan, Sijia
    Peng, Feng
    Liu, Xiaokun
    Wang, Tong
    INFORMATION SCIENCES, 2024, 163
  • [4] Effect of Feedback Mode and Task Difficulty on Quality of Timing Decisions in a Zero-Sum Game
    Tikuisis, Peter
    Vartanian, Oshin
    Mandel, David R.
    HUMAN FACTORS, 2014, 56 (06) : 1062 - 1076
  • [5] State Constrained Fault-Tolerant Control of Hypersonic Vehicle With Unknown Centroid Shift Based on Zero-Sum Game
    Ye, Hui
    Meng, Yizhen
    Wen, Liyan
    Li, Zeqiao
    IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2024, 60 (01) : 831 - 843
  • [6] Equilibrium topology of multi-agent systems with two leaders: A zero-sum game perspective
    Ma, Jingying
    Zheng, Yuanshi
    Wu, Bin
    Wang, Long
    AUTOMATICA, 2016, 73 : 200 - 206
  • [7] Resilience of LTE eNode B against smart jammer in infinite-horizon asymmetric repeated zero-sum game
    Aziz, Farhan M.
    Li, Lichun
    Shamma, Jeff S.
    Stuber, Gordon L.
    PHYSICAL COMMUNICATION, 2020, 39
  • [8] Data-based discrete-time two-player zero-sum delayed game via policy iteration Q-learning Method
    Jiang, Zongyang
    Zhang, Haiying
    Xiao, Yu
    NEUROCOMPUTING, 2025, 631
  • [9] An Information Dissemination Model Based on the Rumor and Antirumor and Cognitive Game
    Mou, Xuemei
    Xiao, Yunpeng
    He, Weikang
    Wang, Rong
    Duan, Sirui
    Li, Qian
    IEEE TRANSACTIONS ON COMPUTATIONAL SOCIAL SYSTEMS, 2025,
  • [10] Preference-based grey theory model and its application in waste disposal selection: a case study
    Ankit Tiwari
    Pritee Sharma
    Sādhanā, 49
123