Geodesic
Importance of agents in networks: clique based game-theoretic approach
Contributions to game theory and management, Tome 15 (2022), pp. 189-199

Voir la notice de l'article provenant de la source Math-Net.Ru

Centrality measures are commonly used to detect important nodes. There are some metrics that measure a node's connectivity to different communities. This paper extends the standard network centrality measures and proposes to estimate the importance of nodes in network as a solution of a cooperative game. Three ways of defining such cooperative game are introduced. Each of them uses the concept of a clique in graph. Examples are considered.
Keywords: cooperative game, game on graph, Shapley value, clique. 
@article{CGTM_2022_15_a14,
     author = {Juping Li and Anna Tur and Maksim Zavrajnov},
     title = {Importance of agents in networks: clique based game-theoretic approach},
     journal = {Contributions to game theory and management},
     pages = {189--199},
     publisher = {mathdoc},
     volume = {15},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2022_15_a14/}
}
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Juping Li; Anna Tur; Maksim Zavrajnov. Importance of agents in networks: clique based game-theoretic approach. Contributions to game theory and management, Tome 15 (2022), pp. 189-199. http://geodesic.mathdoc.fr/item/CGTM_2022_15_a14/