Axiomatic Foundations of Centrality in Networks
37 Pages Posted: 3 Apr 2009 Last revised: 23 Jul 2009
Date Written: June 23, 2009
The social and economic networks literature commonly uses different measures to capture various notions of centrality. Given the structural features of a network, there is limited consensus on how to select the appropriate centrality measure. This paper provides an axiomatic characterization of Degree, Closeness and Decay centrality measures and argues that such axiomatizations are the correct way to distinguish between centrality measures. Further, I show that these centrality measures belong to the same family of measures. This result shows why they have been found to be correlated in empirical work.
Keywords: Networks, Centrality Measures, Axiomatization
JEL Classification: D85, Z13
Suggested Citation: Suggested Citation