Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/330057 
Year of Publication: 
2023
Citation: 
[Journal:] Games [ISSN:] 2073-4336 [Volume:] 14 [Issue:] 5 [Article No.:] 64 [Year:] 2023 [Pages:] 1-19
Publisher: 
MDPI, Basel
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 embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations 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 𝛽-measure, and construct an axiomatisation of the Gately measure.
Subjects: 
cooperative game
authority network
network centrality measure
Gately measure
axiomatisation
JEL: 
A14
C71
D20
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
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