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 level structures. In the case of the equal surplus division value we propose three possible extensions, one of which has already been described in the literature. We provide axiomatic characterizations of the values considered, apply them to a particular cost sharing problem and compare them in the framework of such an application.
翻译:本文我们将可转移效用合作博弈中的平均分配值和平均剩余分配值推广至更具一般性的具有层级结构的可转移效用合作博弈设定中。对于平均剩余分配值,我们提出三种可能的推广方案,其中一种已在文献中描述过。我们给出了所考虑值的公理化刻画,将其应用于特定的成本分摊问题,并在该应用框架下进行了比较分析。