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Contributions to Game Theory and Management, 2022, Volume 15, Pages 189–199
DOI: https://doi.org/10.21638/11701/spbu31.2022.14 (Mi cgtm423) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Importance of agents in networks: clique based game-theoretic approach

Juping Lia, Anna Turb, Maksim Zavrajnovb

a National Pipeline Network Group Southwest Pipeline Co, Ltd. Nanning Oil and Gas Branch, Liangqing District, Guangxi Zhuang Autonomous Region, China
b St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, 7/9, Universitetskaya nab., St. Petersburg, 199034, Russia
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DOI: https://doi.org/10.21638/11701/spbu31.2022.14
Abstract: 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.
Funding agency Grant number
Russian Science Foundation 22-11-00051
The work of the second author was supported by the Russian Science Foundation grant No. 22-11-00051, https://rscf.ru/en/project/22-11-00051/.
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Document Type: Article
Language: English
Citation: Juping Li, Anna Tur, Maksim Zavrajnov, “Importance of agents in networks: clique based game-theoretic approach”, Contributions to Game Theory and Management, 15 (2022), 189–199
Citation in format AMSBIB
\Bibitem{LiTurZav22}
\by Juping~Li, Anna~Tur, Maksim~Zavrajnov
\paper Importance of agents in networks: clique based game-theoretic approach
\jour Contributions to Game Theory and Management
\yr 2022
\vol 15
\pages 189--199
\mathnet{http://mi.mathnet.ru/cgtm423}
\crossref{https://doi.org/10.21638/11701/spbu31.2022.14}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4589465}
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  • https://www.mathnet.ru/eng/cgtm/v15/p189
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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