Resumen de Centrality and power in social networks: A game theoretic approach

Daniel Gómez González , Enrique González Arangüena , Conrado Miguel Manuel García , Guillermo Owen , Juan Antonio Tejada Cazorla

• In this paper, a social network is modelized as a communication graph, which shows the possible direct communications between individuals. To reflect the interests that motivate the interactions, a cooperative game in characteristic function form is considered. From the graph and the game, the graph-restricted game is obtained. Shapley value in a game is considered as actor's power. The difference between actor's power in the new game and his/her power in the original one is proposed as a centrality measure. Conditions are given to obtain desirable properties for this measure. Finally, a decomposition of this measure is proposed.