English

A Stochastic Binary Opinion Model: Opinion Dominance vs. Balance

Physics and Society 2022-12-27 v3 Dynamical Systems

Abstract

We propose and study a stochastic binary opinion model where agents in a group are considered to hold an opinion of 0 or 1 at each moment. An agent in the group updates his/her opinion based on the group's opinion configuration and his/her \emph{personality}. Considering the number of agents with opinion 1 as a continuous time Markov process, we analyze the long-term probabilities for large population size in relation to the personalities of the group. In particular, we focus on the question of ``balance'' where both opinions are present in nearly equal numbers as opposed to ``dominance'' where one opinion is present in a greater number.

Keywords

Cite

@article{arxiv.1902.03107,
  title  = {A Stochastic Binary Opinion Model: Opinion Dominance vs. Balance},
  author = {Serap Tay Stamoulas and Muruhan Rathinam},
  journal= {arXiv preprint arXiv:1902.03107},
  year   = {2022}
}
R2 v1 2026-06-23T07:35:45.506Z