Formation of opinion of one is own conviction about a Small World topology

TL;DR

This paper investigates how individual conviction influences opinion formation on Small World networks, highlighting the impact of undecided agents and their probabilistic decision-making in the process.

Contribution

It introduces a model examining opinion dynamics with varying levels of conviction and undecided agents on Small World topologies, revealing transition behaviors.

Findings

Undecided agents significantly affect opinion consensus.

Conviction levels alter the stability of opinion states.

Transition regions depend on undecided agent probability.

Abstract

A model of opinion formation on a Small World type topology is studied to observe qualitatively its difference with one is own conviction versus the opinion of others. It is possible to observe that the relation between conviction to copy the agent with whom it interacts and this agent is an undecided agent who leaves decisions to chance becomes outstanding since the probability of undecided agents is greater than 0.1 and is maintained until 0.7 so that in the border regions, it is only a transition towards this predictive.