Game Theoretic Foundations of the Gately Power Measure for Directed Networks

Autor:	Robert P. Gilles, Lina Mallozzi
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	cooperative game authority network network centrality measure Gately measure axiomatisation Technology Social Sciences
Zdroj:	Games, Vol 14, Iss 5, p 64 (2023)
Druh dokumentu:	article
ISSN:	14050064 2073-4336
DOI:	10.3390/g14050064
Popis:	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.
Databáze:	Directory of Open Access Journals
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