Centrality and power in social networksA game theoretic approach

  1. Gómez González, Daniel
  2. González Arangüena, Enrique
  3. Manuel García, Conrado Miguel
  4. Owen, Guillermo
  5. Tejada Cazorla, Juan Antonio
Liburua:
XXVI Congreso Nacional de Estadística e Investigación Operativa: Úbeda, 6-9 de noviembre de 2001

Argitaletxea: Jaén : Universidad de Jaén, 2001

ISBN: 84-8439-080-2

Argitalpen urtea: 2001

Biltzarra: Congreso Nacional de Estadística e Investigación Operativa (26. 2001. Úbeda)

Mota: Biltzar ekarpena

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Laburpena

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.

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