Title :
The study on model of functional zero-sum game and its solution based on grey information
Author :
Fang, ZhiGeng ; Yang, Baohua ; Feng, Xi ; Li, Yaping ; He, Shawei
Author_Institution :
Inst. for Grey Syst. Studies, Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
Abstract :
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.
Keywords :
commerce; game theory; grey systems; strategic planning; absolute strategy; antipiracy combat; functional zero-sum game model; fundamental principles; grey information; mapping game; mixed strategy; optimal strategy; standard grey interval; Educational institutions; Games; Nash equilibrium; Sufficient conditions; Uncertainty; the grey mixed strategy; the grey zero-sum functional game; the matrix game; the optimal strategy;
Conference_Titel :
Systems, Man, and Cybernetics (SMC), 2011 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
978-1-4577-0652-3
DOI :
10.1109/ICSMC.2011.6083948
