有同事效应的多对一匹配博弈的核  

The Core of Many-to-One Matching Games with Peer Effect

作　　者：李建荣[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《江西师范大学学报（自然科学版）》2017年第1期15-19,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(71301056)资助项目

摘　　要：有同事效应的多对一匹配博弈的核不一定存在.在群替代偏好下,用联盟分割的方法证明了核匹配一定存在.对偏好的假设源自于某些现实问题的考虑,因此,所得结论具有一定的现实意义.It is well-known that the core of a many-to-one matching game with peer effect might be empty. Under group substitutable preferences,it is proved that the core is nonempty by coalition structure method. All the assumptions that is apposed on the preference lists come from some real-life observations and considerations,so the results have realistic meaning.

关 键 词：匹配博弈 核 群替代性 共同性 

分 类 号：O225[理学—运筹学与控制论] F224.32[理学—数学]