Centrality in directed social networks. A game theoretic approach

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.

► A family of centrality measures for directed social networks is defined.
► A game theoretical point of view is used.
► Component efficiency and a-directed fairness properties characterize these measures.
► Each measure is the city-block modulus of a three dimensional vector.
► These dimensions are emission, betweenness and reception components of the centrality.