Centrality in directed social networks. A game theoretic approach

Abstract

In this paper we define a family of centrality measures for directed social networks from a game theoretical point of view. We follow the line started in our previous paper (Gómez et al., 2003) and, besides the definition, we obtain a characterization of the measures and an additive decomposition in three summands that can be interpreted in terms of emission, betweenness and reception centrality components.