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Dynamic Games and Applications
Published in: Dynamic Games and Applications 1/2023

26-11-2021

Opinion Dynamics Control in a Social Network with a Communication Structure

Authors: Hui Jiang, Vladimir V. Mazalov, Hongwei Gao, Chen Wang

Published in: Dynamic Games and Applications | Issue 1/2023

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Abstract

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.
previous article Dynamic Games Among Teams with Delayed Intra-Team Information Sharing

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Metadata
Title
Opinion Dynamics Control in a Social Network with a Communication Structure
Authors
Hui Jiang
Vladimir V. Mazalov
Hongwei Gao
Chen Wang
Publication date
26-11-2021
Publisher
Springer US
Published in
Dynamic Games and Applications / Issue 1/2023
Print ISSN: 2153-0785
Electronic ISSN: 2153-0793
DOI
https://doi.org/10.1007/s13235-021-00406-y

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