%0 Journal Article
%A Gómez, Daniel
%A González-Arangüena, Enrique
%A Conrado, Manuel
%A Owen, Guillermo
%A Pozo Juan, Mónica del
%A Tejada Cazorla, Juan Antonio
%T Centrality and power in social networks: a game theoretic approach
%D 2003
%@ 0165-4896
%U https://hdl.handle.net/20.500.14352/50051
%X A new family of centrality measures, based on game theoretical concepts, is proposed for social networks. To reflect the interests that motivate the interactions among individuals in a network, 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 reach some desirable properties. Finally, a decomposition is proposed.
%~