On Dynamic Stubbornness in the Concatenated Friedkin-Johnsen Model
(2024)Department of Automatic Control
- Abstract
- We study opinion dynamics in social networks using a version of the concatenated Friedkin-Johnsen model, where the opinion evolution of the participating agents is allowed to continue over sequences of related issues. These agents have a certain associated stubbornness that anchors them to their initial opinion, which we allow them to update between issues. The central purpose of the present work is to investigate the dynamics of this update, or in other words how different stubbornnessupdating functions affect the behaviour of the model. For two convex and concave families of updating functions, we numerically explore which conditions guarantee that the agents will reach consensus, and conclude that the chosen functions can be... (More)
- We study opinion dynamics in social networks using a version of the concatenated Friedkin-Johnsen model, where the opinion evolution of the participating agents is allowed to continue over sequences of related issues. These agents have a certain associated stubbornness that anchors them to their initial opinion, which we allow them to update between issues. The central purpose of the present work is to investigate the dynamics of this update, or in other words how different stubbornnessupdating functions affect the behaviour of the model. For two convex and concave families of updating functions, we numerically explore which conditions guarantee that the agents will reach consensus, and conclude that the chosen functions can be well-approximated by linear ones with regard to consensus convergence criteria. We also study how dynamic stubbornness affects the depolarizing properties of the model, and show that agents becoming more stubborn does not always lead to more polarized opinion distributions. Lastly, we introduce a version of the model where dissatisfied agents entirely refuse to change their opinion until other agents approach their position enough. For this model, we provide some sufficient conditions for consensus, and give numerical examples that illustrate its oscillatory behaviour. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9173692
- author
- Swartling Sennhed, Johan
- supervisor
-
- Emma Tegling LU
- David Ohlin LU
- Giacomo Como LU
- organization
- year
- 2024
- type
- M3 - Professional qualifications ( - 4 Years)
- subject
- report number
- TFRT-7669
- other publication id
- 0280-5316
- language
- English
- id
- 9173692
- date added to LUP
- 2024-09-09 09:18:02
- date last changed
- 2024-09-09 09:18:02
@misc{9173692,
abstract = {{We study opinion dynamics in social networks using a version of the concatenated Friedkin-Johnsen model, where the opinion evolution of the participating agents is allowed to continue over sequences of related issues. These agents have a certain associated stubbornness that anchors them to their initial opinion, which we allow them to update between issues. The central purpose of the present work is to investigate the dynamics of this update, or in other words how different stubbornnessupdating functions affect the behaviour of the model. For two convex and concave families of updating functions, we numerically explore which conditions guarantee that the agents will reach consensus, and conclude that the chosen functions can be well-approximated by linear ones with regard to consensus convergence criteria. We also study how dynamic stubbornness affects the depolarizing properties of the model, and show that agents becoming more stubborn does not always lead to more polarized opinion distributions. Lastly, we introduce a version of the model where dissatisfied agents entirely refuse to change their opinion until other agents approach their position enough. For this model, we provide some sufficient conditions for consensus, and give numerical examples that illustrate its oscillatory behaviour.}},
author = {{Swartling Sennhed, Johan}},
language = {{eng}},
note = {{Student Paper}},
title = {{On Dynamic Stubbornness in the Concatenated Friedkin-Johnsen Model}},
year = {{2024}},
}