The Shapley value, one of the well-known allocation rules in game theory, does not take into account information about the structure of the graph, so by using the Shapley value for each hyperedge, we introduce a new allocation rule by considering their first-order combination. We proved that some of the properties that hold for Shapley and Myerson values also hold for our allocation rule. In addition, we found the relationship between our allocation rule and the Forman curvature, which plays an important role in discrete geometry.

翻译：Shapley 值是游戏理论中众所周知的分配规则之一,它没有考虑到关于图表结构的信息,因此,通过使用每个高端的 Shapley 值,我们通过考虑它们的第一级组合引入了新的分配规则。我们证明,Shapley 和 Myerson 值的某些属性也保留了我们的分配规则。此外,我们发现了我们的分配规则与Forman 曲线之间的关系,后者在离散几何中起着重要作用。