Opinion dynamics game in a social network with two influence nodes. / Седаков, Артем Александрович; Чжэнь, Мэнкэ.
In: Вестник Санкт-Петербургского университета. Прикладная математика. Информатика. Процессы управления, Vol. 15, No. 1, 2019, p. 118-125.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Opinion dynamics game in a social network with two influence nodes.
AU - Седаков, Артем Александрович
AU - Чжэнь, Мэнкэ
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - equilibrium
KW - influence
KW - opinion dynamics
KW - social network
KW - влияние
KW - динамика мнений
KW - равновесие
KW - социальная сеть
KW - equilibrium
KW - influence
KW - opinion dynamics
KW - social network
KW - влияние
KW - динамика мнений
KW - равновесие
KW - социальная сеть
M3 - Article
VL - 15
SP - 118
EP - 125
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ
SN - 1811-9905
IS - 1
ER -
ID: 78451152