### Impacto

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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Official URL: http://www.sciencedirect.com/science/article/pii/S0165489603000283

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Social networks; Game theory; Centrality; Shapley value |

Subjects: | Sciences > Mathematics > Operations research |

ID Code: | 15931 |

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Deposited On: | 12 Jul 2012 11:49 |

Last Modified: | 06 Feb 2014 10:34 |

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