Title
A theory on power in networks
Abstract
The eigenvector centrality equation $\lambda x = A \, x$ is a successful compromise between simplicity and expressivity. It claims that central actors are those connected with central others. For at least 70 years, this equation has been explored in disparate contexts, including econometrics, sociometry, bibliometrics, Web information retrieval, and network science. We propose an equally elegant counterpart: the power equation $x = A x^{\div}$, where $x^{\div}$ is the vector whose entries are the reciprocal of those of $x$. It asserts that power is in the hands of those connected with powerless others. It is meaningful, for instance, in bargaining situations, where it is advantageous to be connected to those who have few options. We tell the parallel, mostly unexplored story of this intriguing equation.
Year
Venue
Field
2015
CoRR
Computer science,Artificial intelligence
DocType
Volume
Citations 
Journal
abs/1510.08332
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Massimo Franceschet165839.91
Enrico Bozzo2518.79