Game theoretic foundations of the Gately power measure for directed networks

• Tác giả: Robert P Gilles, Lina Mallozzi
• Ngôn ngữ: eng
• Ký hiệu phân loại: 519.3 Game theory
• Thông tin xuất bản: 2023
• Bộ sưu tập: Metadata
• ID: 197898

Tóm tắt

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.