Game theoretic foundations of the Gately power measure for directed networks

Robert P. Gilles and Lina Mallozzi

Papers from arXiv.org

Abstract: 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.

Date: 2023-08
New Economics Papers: this item is included in nep-gth, nep-net and nep-upt
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2308.02274

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