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Erscheinungsjahr: 
2023
Quellenangabe: 
[Journal:] Games [ISSN:] 2073-4336 [Volume:] 14 [Issue:] 5 [Article No.:] 64 [Year:] 2023 [Pages:] 1-19
Verlag: 
MDPI, Basel
Zusammenfassung: 
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.
Schlagwörter: 
cooperative game
authority network
network centrality measure
Gately measure
axiomatisation
JEL: 
A14
C71
D20
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