Yu-Hsien Liao Department of Applied Mathematics, National Dong Hwa University, Hualien, Taiwan   Department of Applied Mathematics A330 , Science and Endineering Building, Dong Hwa University, Hualien 974, TAIWAN ,   d9211001@em92.ndhu.edu.tw         Primary Research Focus: Game Theory   JEL Areas: C7 : Game Theory and Bargaining Theory:General