We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players--constituting a hierarchical network. The power distribution of a hierarchical network can be represented through a TU-game. We investigate the properties of this TU-representation and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a Core power gauge, investigate the relationship of the Gately with the $\beta$-measure, and construct an axiomatisation of the Gately measure.

翻译：我们提出一种新的网络中心性测度，该测度基于具有可转移效用的合作博弈中的Gately值。有向网络被解释为参与者之间代表控制或权威关系——构成一个层级网络。层级网络的权力分布可通过一个可转移效用博弈来表示。我们研究了这种可转移效用表示的性质，并探讨了由此产生的Gately值，从而形成了Gately权力测度。我们确定了Gately测度成为核权力指标的充分条件，研究了Gately测度与$\beta$-测度的关系，并构建了Gately测度的公理化体系。