Generalized Symmetry Conditions at a Core Point
推广了欧几里得空间中多数规则投票博弈核心点的对称条件,针对任意投票规则,给出了以关键联盟效用梯度表示的充要条件。
Previous analyses have shown that if a point is to be a core of a majority rule voting game in Euclidean space, when preferences are smooth, then the utility gradients at the point must satisfy certain restrictive symmetry conditions. In this paper, these results are generalized to the case of an arbitrary voting rule, and necessary and sufficient conditions, expressed in terms of the utility gradients of "pivotal" coalitions, are obtained.