Resumen de Game Theory and Centrality in Directed Social Networks

Mónica del Pozo Juan , Conrado Miguel Manuel García , Enrique González Arangüena , Guillermo Owen

• 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 with our previous paper (G´omez et al. 2003) and besides the definition we obtain a characterization of the measures and an additive decomposition in three measures that can be interpreted in terms of emission, betweeness and reception centralities. Finally we apply the obtained results to rank the importance of players in a simplified version of a soccer game.