A game approach to multi-dimensional opinion dynamics in social networks with stubborn strategist agents

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00371756" target="_blank" >RIV/68407700:21230/24:00371756 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.ejcon.2023.100941" target="_blank" >https://doi.org/10.1016/j.ejcon.2023.100941</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ejcon.2023.100941" target="_blank" >10.1016/j.ejcon.2023.100941</a>

Result language

angličtina

Original language name

A game approach to multi-dimensional opinion dynamics in social networks with stubborn strategist agents

Original language description

In a social network, individuals express their opinions on several interdependent topics, and therefore the evolution of their opinions on these topics is also mutually dependent. In this work, we propose a differential game model for the multi-dimensional opinion formation of a social network whose population of agents interacts according to a communication graph. Each individual's opinion evolves according to an aggregation of disagreements between the agent's opinions and its graph neighbors on multiple interdependent topics exposed to an unknown extraneous disturbance. For a social network with strategist agents, the opinions evolve over time with respect to the minimization of a quadratic cost function that solely represents each individual's motives against the disturbance. We find the unique Nash/worst-case equilibrium solution for the proposed differential game model of coupled multi-dimensional opinions under an open-loop information structure. Moreover, we propose a distributed implementation of the Nash/worst-case equilibrium solution. We examine the non-distributed and proposed distributed open-loop Nash/worst-case strategies on a small social network with strategist agents in a two-dimensional opinion space. Then we compare the evolved opinions based on the Nash/worst-case strategy with the opinions corresponding to social optimality actions for non-strategist agents.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/GA23-07517S" target="_blank" >GA23-07517S: Agile swarms of aerial robots with reliable multimodal sensing and state-estimation capabilities</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

European Journal of Control

ISSN

0947-3580

e-ISSN

1435-5671

Volume of the periodical

75

Issue of the periodical within the volume

January

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

12

Pages from-to

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UT code for WoS article

001171895900001

EID of the result in the Scopus database

2-s2.0-85181844270