2017

Local and Consistent Centrality Measures in Parameterized Networks

Reprint No. 2017:24

Author(s): Vianney Dequiedt and Yves ZenouYear: 2017 Title: Mathematical Social Sciences Volume (No.): 88 (July) Pages: 28–36
Online article (restrictions may apply)

Local and Consistent Centrality Measures in Parameterized Networks Vianney Dequiedt and Yves Zenou


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.


Reference:
Dequiedt,Vianney and Yves Zenou (2017), "Local and Consistent Centrality Measures in Parameterized Networks". Mathematical Social Sciences 88(July), 28–36.

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Social Capital and Health

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Martin Ljunge, IFN, is the author of a chapter, "Trust promotes health: addressing reverse causality by studying children of immigrants", in a new book edited by Sherman Folland and Eric Nauenberg. The cutting edge of research is presented, covering the ever-expanding social capital field.

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