Gómez, Daniel and González-Arangüena, Enrique and Conrado, Manuel and Owen, Guillermo and Pozo Juan, Mónica del and Tejada Cazorla, Juan Antonio (2003) Centrality and power in social networks: a game theoretic approach. Mathematical Social Sciences, 46 (1). pp. 27-54. ISSN 0165-4896
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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.
|Uncontrolled Keywords:||Social networks; Game theory; Centrality; Shapley value|
|Subjects:||Sciences > Mathematics > Operations research|
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|Deposited On:||12 Jul 2012 13:49|
|Last Modified:||12 Jul 2012 13:49|
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