Opinion Dynamics Control in a Social Network with a Communication Structure

被引：11

作者：

Jiang, Hui ^{[1
]}

Mazalov, Vladimir V. ^{[2
]}

Gao, Hongwei ^{[3
]}

Wang, Chen ^{[3
]}

机构：

[1] Qingdao Univ, Sch Business, Qingdao 266071, Peoples R China

[2] Russian Acad Sci, Karelian Res Ctr, Inst Appl Math Res, Ul Pushkinskaya 11, Petrozavodsk 185910, Russia

[3] Qingdao Univ, Sch Math & Stat, Inst Appl Math Shandong, Qingdao 266071, Peoples R China

来源：

DYNAMIC GAMES AND APPLICATIONS | 2023年 / 13卷 / 01期

关键词：

Opinion dynamics; Social network; Influence matrix; Communication structure; Linear-quadratic game; Optimal control; Nash equilibrium; Bellman equation; GAME;

D O I：

10.1007/s13235-021-00406-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers a game-theoretic model of external control influence on opinion dynamics and reached consensus in a social network. The network participants are linked through an arbitrary communication graph. The goal of control is to keep the opinions of all network participants in the neighborhood of a given value. If there are several players, these target values may differ. The dynamic game under consideration belongs to the class of linear-quadratic games in discrete time. Optimal control and equilibrium are calculated using the Bellman equation. In the symmetric case, the solution is constructed analytically. Some numerical simulations illustrate the influence of the communication structure of a social network on the opinion dynamics and reached consensus.

引用

页码：412 / 434

页数：23

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