Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2019, Volume 15, Issue 1, Pages 118–125
DOI: https://doi.org/10.21638/11701/spbu10.2019.109 (Mi vspui394) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Applied mathematics

Opinion dynamics game in a social network with two influence nodes

A. A. Sedakovabc, M. Zhena

a St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
b School of Mathematics and Statistics, Qingdao University, 308, Ningxia Road, Qingdao, 266071, People's Republic of China
c Institute of Applied Mathematics of Shandong, 308, Ningxia Road, Qingdao, 266071, People's Republic of China
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DOI: https://doi.org/10.21638/11701/spbu10.2019.109
Abstract: We consider an opinion dynamics game in a social network with two influence nodes. Pursuing certain goals, the influence nodes affect other members of the network by the selection of their levels of influence. Considering this model as a 2-person non-cooperative dynamic game and choosing Nash equilibrium as its solution, we find the equilibrium levels of influence for both influence nodes at any game stage. We also perform the numerical simulation for both low and high levels of players' influence on agents.
Keywords: social network, influence, opinion dynamics, equilibrium.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-53030_ГФЕН_а
Shandong Province WST2017009
This work was supported by the Russian Foundation for Basic Research (grant N 17-51-53030) and Shandong Province “Double-Hundred Talent Plan” (grant N WST2017009).
Received: September 11, 2018
Accepted: December 18, 2018
Bibliographic databases:
Document Type: Article
UDC: 519.83
MSC: 91A10, 91A50
Language: English
Citation: A. A. Sedakov, M. Zhen, “Opinion dynamics game in a social network with two influence nodes”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:1 (2019), 118–125
Citation in format AMSBIB
\Bibitem{SedZhe19}
\by A.~A.~Sedakov, M.~Zhen
\paper Opinion dynamics game in a social network with two influence nodes
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2019
\vol 15
\issue 1
\pages 118--125
\mathnet{http://mi.mathnet.ru/vspui394}
\crossref{https://doi.org/10.21638/11701/spbu10.2019.109}
\elib{https://elibrary.ru/item.asp?id=37259169}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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