Аннотация:
In the paper, we propose a model of opinion dynamics in the presence of a center of influence. The center aims in distributing the opinion closer to the target one minimizing the costs. We consider the case when the center takes into account only some fixed number of observations from the opinion trajectory and taking into account the difference between the agent's opinion and the socially desired opinion in these periods. The dynamics of the state variable is given by a linear difference equation. The player's cost is a linear quadratic function with respect to the state variables and the player's strategy. The Euler equation method is used to find the centers optimal strategy. Numerical simulations of the theoretical results are given.
Ключевые слова:
opinion dynamics, social network, linear-quadratic games, Euler-equation approach.
The work of the second author is supported by the Russian Science Foundation (grant no. 17-11-01079).
Тип публикации:
Статья
Язык публикации: английский
Образец цитирования:
Jingjing Gao, Elena Parilina, “Opinion control problem with average-oriented opinion dynamics and limited observation moments”, Contributions to Game Theory and Management, 14 (2021), 103–112
\RBibitem{GaoPar21}
\by Jingjing~Gao, Elena~Parilina
\paper Opinion control problem with average-oriented opinion dynamics and limited observation moments
\jour Contributions to Game Theory and Management
\yr 2021
\vol 14
\pages 103--112
\mathnet{http://mi.mathnet.ru/cgtm391}
\crossref{https://doi.org/10.21638/11701/spbu31.2021.09}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm391
https://www.mathnet.ru/rus/cgtm/v14/p103
Эта публикация цитируется в следующих 5 статьяx:
Jingjing Gao, Trends in Mathematics, Frontiers of Dynamic Games, 2024, 27
J. Gao, “Competition for agents' opinions in small dynamic systems with limited control”, Вестн. С.-Петербург. ун-та. Сер. 10. Прикл. матем. Информ. Проц. упр., 20:3 (2024), 404–415
Jingjing Gao, E. M. Parilina, “Opinion Dynamics in Multiagent Systems with Optimal Choice of Opinion Verification Moments”, Dokl. Math., 108:S1 (2023), S75
Цзинцзин Гао, Елена М. Парилина, “Динамика мнений в мультиагентных системах с оптимальным выбором моментов проверки мнений”, МТИП, 14:4 (2022), 3–23
Jingjing Gao, Elena Parilina, “Optimal control in a multiagent opinion dynamic system”, Contributions to Game Theory and Management, 15 (2022), 51–59
Цитирование в формате AMSBIB
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