2026-06-01T18:34:27Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/500512025-02-13T13:55:11Zcom_20.500.14352_14col_20.500.14352_15

Centrality and power in social networks: a game theoretic approach Gómez, Daniel González-Arangüena, Enrique Conrado, Manuel Owen, Guillermo Pozo Juan, Mónica Tejada Cazorla, Juan Antonio 519.83 Social networks Game theory Centrality Shapley value Investigación operativa (Matemáticas) 1207 Investigación Operativa 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. UCM Sabbatical Program Gobierno de España Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:37:19Z 2023-06-20T09:37:19Z 2003-08 journal article https://hdl.handle.net/20.500.14352/50051 0165-4896 10.1016/S0165-4896(03)00028-3 eng PB9820825 restricted access application/pdf Elsevier