In this paper we extend the equal division and the equal surplus division values for transferable utility cooperative games to the more general setup of transferable utility cooperative games with a priori unions. In the case of the equal surplus division value we propose three possible extensions. We provide axiomatic characterizations of the new values. Furthermore, we apply the proposed modifications to a particular cost sharing problem and compare the numerical results with those obtained with the original values.
翻译:本文将对可转移效用合作博弈中的等分值和等剩余分值扩展到更一般的具有先验联盟的可转移效用合作博弈框架中。针对等剩余分值,我们提出三种可能的扩展形式,并给出这些新值的公理化刻画。此外,我们将所提出的改进应用于特定成本分摊问题,并将数值结果与原始值所得结果进行比较。