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Local and consistent centrality measures in parameterized networks

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  • Dequiedt, Vianney
  • Zenou, Yves

Abstract

We propose an axiomatic approach to characterize 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 those measures.

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  • Dequiedt, Vianney & Zenou, Yves, 2017. "Local and consistent centrality measures in parameterized networks," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 28-36.
  • Handle: RePEc:eee:matsoc:v:88:y:2017:i:c:p:28-36
    DOI: 10.1016/j.mathsocsci.2017.04.002
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    Cited by:

    1. Krishna Dasaratha, 2017. "Distributions of Centrality on Networks," Papers 1709.10402, arXiv.org, revised Aug 2018.

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