2019/02/06 by Serap Tay Stamoulas, Stamoulas, Serap Tay, Muruhan Rathinam +1
Decision Sciences · Physics and Astronomy · #91C99 #Complex Network Analysis Techniques #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Game Theory and Applications #Opinion Dynamics and Social Influence #Physics and Society (physics.soc-ph)
paper · pdf · doi:10.48550/arxiv.1902.03107
openalex publication_date 2019/02/06 · openalex created_date 2023/01/04 · openalex updated_date 2026/07/28
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 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.