Title :
Two-person zero-sum matrix games on credibility space
Author :
Ding Jian ; Li Cun-lin ; Zhu Gao-sheng
Author_Institution :
Sch. of Comput. Sci. & Eng., Beifang Univ. of Nat., Yinchuan, China
Abstract :
Two-person zero-sum games with fuzzy payoffs are investigated on credibility space. In other word, this paper introduces the credibility measures and presents the credibility space based on it. Then, some basic characteristics of fuzzy events were given in the credibility space and the expected value of the fuzzy variables is proposed based on the credibility measures. Last, the expected model of two-person zero-sum games with fuzzy payoffs is established and the expected value Nash equilibrium strategy of the fuzzy game is given.
Keywords :
fuzzy set theory; game theory; Nash equilibrium strategy; credibility measurement; credibility space; fuzzy event characteristics; fuzzy payoffs; fuzzy variables; two-person zero-sum matrix game; Educational institutions; Extraterrestrial measurements; Fuzzy sets; Games; Nash equilibrium; Uncertainty; (fuzzy) two-person zero-sum games; credibility space; expected value Nash equilibrium strategy;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-180-9
DOI :
10.1109/FSKD.2011.6019721
