Opinion Dynamics Control in a Social Network with a Communication Structure

被引：10

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

共 50 条

[31] Reaching Consensus Based on the Opinion Dynamics in Social Networks [J].

Ying Ji ;

Ping Li ;

Zhong Wu ;

Deqiang Qu .

Arabian Journal for Science and Engineering, 2021, 46 :1677-1690

[32] Novel Multidimensional Models of Opinion Dynamics in Social Networks [J].

Parsegov, Sergey E. ;

Proskurnikov, Anton V. ;

Tempo, Roberto ;

Friedkin, Noah E. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (05) :2270-2285

[33] A data-driven kinetic model for opinion dynamics with social network contacts [J].

Albi, Giacomo ;

Calzola, Elisa ;

Dimarco, Giacomo .

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2025, 36 (02) :264-290

[34] Robust mean field social control problems with applications in analysis of opinion dynamics [J].

Wang, Bing-Chang ;

Liang, Yong .

INTERNATIONAL JOURNAL OF CONTROL, 2022, 95 (12) :3309-3325

[35] Opinion dynamics beyond social influence [J].

Meylahn, Benedikt, V ;

Searle, Christa .

NETWORK SCIENCE, 2024,

[36] Security of opinion dynamics in social networks [J].

Gao, Long ;

Yang, Wen ;

Zhao, Zhiyun ;

Wang, Xiaofan .

IFAC PAPERSONLINE, 2019, 52 (03) :162-167

[37] Networked Models of Social Influence: Explaining Left-Right Political Landscapes in Europe Through Opinion Dynamics and Network Structure [J].

Reisinger, Daniel ;

Vogrin, Michael ;

Wood, Guilherme ;

Schmickl, Thomas ;

Jaeger, Georg .

ADVANCES IN SOCIAL SIMULATION, ESSA 2022, 2023, :273-283

[38] MELODY: Analyzing the Message-Opinion Coevolution and the Messages' Influence on Opinion Dynamics in Social Networks [J].

Wang, Huisheng ;

Chen, Zhanjiang ;

Zhao, H. Vicky .

APSIPA TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING, 2024, 13 (01)

[39] A Distance Measure for the Analysis of Polar Opinion Dynamics in Social Networks [J].

Amelkin, Victor ;

Bogdanov, Petko ;

Singh, Ambuj K. .

ACM TRANSACTIONS ON KNOWLEDGE DISCOVERY FROM DATA, 2019, 13 (04)

[40] Multidimensional Model of Opinion Dynamics in Social Networks: Polarization Indices [J].

Gubanov, D. A. ;

Petrov, I., V ;

Chkhartishvili, A. G. .

AUTOMATION AND REMOTE CONTROL, 2021, 82 (10) :1802-1811

← 1 2 3 4 5 →