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Local and Consistent Centrality Measures in Networks

  • Zenou, Yves


    (Dept. of Economics, Stockholm University)

  • Dequiedt, Vianney


    (Université d’Auvergne)

The centrality of an agent in a network has been shown to be crucial in explaining different behaviors and outcomes. In this paper, we propose an axiomatic approach to characterize a class of centrality measures for which the centrality of an agent is recursively related to the centralities of the agents she is connected to. This includes the Katz-Bonacich and the eigenvector centrality. The core of our argument hinges on the power of the consistency axiom, which relates the properties of the measure for a given network to its properties for a reduced problem. In our case, the reduced problem only keeps track of local and parsimonious information. Our axiomatic characterization highlights the conceptual similarities among this class of measures.

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Paper provided by Stockholm University, Department of Economics in its series Research Papers in Economics with number 2014:4.

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Length: 25 pages
Date of creation: 21 May 2014
Date of revision:
Handle: RePEc:hhs:sunrpe:2014_0004
Contact details of provider: Postal: Department of Economics, Stockholm, S-106 91 Stockholm, Sweden
Phone: +46 8 16 20 00
Fax: +46 8 16 14 25
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