Local and Consistent Centrality Measures in Networks

Yves Zenou and Vianney Dequiedt ()

No 2014:4, Research Papers in Economics from Stockholm University, Department of Economics

Abstract: 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.

Keywords: Consistency; centrality measures; networks; axiomatic approach (search for similar items in EconPapers)
JEL-codes: C70 D85 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2014-05-21
New Economics Papers: this item is included in nep-gth, nep-mic and nep-ure
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (15)

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Related works:
Working Paper: Local and Consistent Centrality Measures in Networks (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:hhs:sunrpe:2014_0004

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