An Axiomatization of Probabilistic Owen Value for Games with Coalition Structure  

作　　者：Hong-xia SUN Qiang ZHANG 

机构地区：[1]Business School,Beijing Technology and Business University [2]School of Management and Economics,beijing institute of technology

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第3期571-582,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.70771010,71071018);Innovation Ability Promotion of Beijing Municipal Commission of Education(TJSHS201310011004)

摘　　要：In the framework of games with coalition structure, we introduce probabilistic Owen value which is an extension of the Owen value and probabilistic Shapley value by considering the situation that not all priori unions are able to cooperate with others. Then we use five axioms of probabilistic efficiency, symmetric within coalitions, symmetric across coalitions applying to unanimity games, strong monotone property and linearity to axiomatize the value.In the framework of games with coalition structure, we introduce probabilistic Owen value which is an extension of the Owen value and probabilistic Shapley value by considering the situation that not all priori unions are able to cooperate with others. Then we use five axioms of probabilistic efficiency, symmetric within coalitions, symmetric across coalitions applying to unanimity games, strong monotone property and linearity to axiomatize the value.

关 键 词：game theory Coalition structure Owen value MATROIDS 

分 类 号：O211[理学—概率论与数理统计]