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Power and Centrality: A Family of Measuresby: Phillip Bonacich
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Notes for this article"introduce a family of centrality measures generated by a, b. b reflects the degree to which an individual's status is a function of statuses of those to whom s/he is connected." In communications networks, b>0. In commodity exchange networks, b<0. "The magnitude of b affects the degree to which distant ties are taken into account." "the magnitude of b reflects the degree to which centrality c(a,b) is local or global." "centrality c(a,b) can be interpreted as the number of paths activated directly or indirectly by each individual."
"different types of centrality, depending on the degrees to which local and global structures should be weighted in a particular study"
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AbstractAlthough network centrality is generally assumed to produce power, recent research shows that this is not the case in exchange networks. This paper proposes a generalization of the concept of centrality that accounts for both the usual positive relationship between power and centrality and Cook et al.'s recent exceptional results.
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