带层次结构效用可转移合作对策的Shapley值及其简化计算方法

THE SHAPLEY VALUE OF TRANSFERABLE UTILITY COOPERATIVE GAMES WITH A LEVEL STRUCTURE

从分配式角度引入了带层次结构效用可转移合作对策的Shapley值,因此该值的商对策性质就成了一个很自然的推论.为了方便计算,文章还引入了该值的联盟式描述及简化联盟式描述.最后,给出了利用简化联盟式描述来计算该值的具体过程.

From the perspective of dividend form, the Shapley value of transferable utility cooperative games with a level structure is introduced. Thus, the quotient game property of the value becomes a natural corollary. For convenience of computation, the coalitional form and simple coalitional form of the value are also introduced. Finally, the specific calculating procedure of the value via simple coalitional form is given.