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

fYear

2011

fDate

9-12 Oct. 2011

Firstpage

1891

Lastpage

1896

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics (SMC), 2011 IEEE International Conference on

Conference_Location

Anchorage, AK

ISSN

1062-922X

Print_ISBN

978-1-4577-0652-3

Type

conf

DOI

10.1109/ICSMC.2011.6083948

Filename

6083948