Stochastic Binary Opinion Model

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https://arxiv.org/abs/1902.03107

Permanent Link

http://hdl.handle.net/11603/14304

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UMBC Mathematics and Statistics Department
UMBC Faculty Collection

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Date

2019-02-06

Type of Work

journal articles preprints
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Citation of Original Publication

Serap Tay Stamoulas, Muruhan Rathinam, Stochastic Binary Opinion Model, Physics and Society, 2019, https://arxiv.org/abs/1902.03107

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Subjects

long-term probabilities
stochastic binary
dominance

Abstract

We 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" when one opinion is dominant.