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

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.