Centrality and power in social networksA game theoretic approach
- Gómez González, Daniel
- González Arangüena, Enrique
- Manuel García, Conrado Miguel
- Owen, Guillermo
- Tejada Cazorla, Juan Antonio
Editorial: Jaén : Universidad de Jaén, 2001
ISBN: 84-8439-080-2
Año de publicación: 2001
Congreso: Congreso Nacional de Estadística e Investigación Operativa (26. 2001. Úbeda)
Tipo: Aportación congreso
Resumen
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.