Title :
Bimatrix Games on Possibility Space
Author :
Li Cun-lin ; Zhang Qiang ; Zhu Gao-sheng
Author_Institution :
Shenhua Ningxia Coal Ind. Group Co., Ltd., Yinchuan, China
Abstract :
The aim of the paper is to establish a new model of equivalent strategy for fuzzy bi-matrix games. Precisely, we introduced the possibility measures and presented the possibility space based on the axiom of the possibility measures. The expected value of the fuzzy variables was given in possibility space. Then, we established an expected model of fuzzy bi-matrix games and defined the expected value Nash equilibrium strategy of fuzzy bi-matrix games. Furthermore, we determined the Nash equilibrium strategy of the fuzzy bi-matrix games through solving linear equations.
Keywords :
fuzzy set theory; game theory; matrix algebra; possibility theory; Nash equilibrium strategy; equivalent strategy; expected model; fuzzy bimatrix games; fuzzy variables; linear equations; possibility space; Equations; Extraterrestrial measurements; Fuzzy sets; Games; Mathematical model; Nash equilibrium; Random variables; (fuzzy) bi-matrix game; expected value Nash equilibrium strategy; possibility space;
Conference_Titel :
Information Science and Management Engineering (ISME), 2010 International Conference of
Conference_Location :
Xi´an
Print_ISBN :
978-1-4244-7669-5
Electronic_ISBN :
978-1-4244-7670-1
DOI :
10.1109/ISME.2010.192
