Bimatrix games on possibility space

摘要：

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.

关键词： (fuzzy) bi-matrix game possibility space expected value Nash equilibrium strategy

作者: LI Cun-lin ZHANG Qiang ZHU Gao-sheng

作者单位: Shenhua Ningxia Coal Industry Group Co., Ltd Yinchuan 750011 China School of Management and Economics Beijing Institute of Technology Beijing 100081 China School of Science, Tianjin University Tianjin 300072 China

会议类型: 国际会议

会议名称: 2010 International Conference of Informationa Science and Management Engineering(2010年信息科学与管理工程国际学术会议 ISME 2010)

会议地点: 西安

会议语种:英文

页码: 472-475

在线出版日期: 2010-08-07（万方平台首次上网日期，不代表论文的发表时间）