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A Stochastic Binary Opinion Model: Opinion Dominance vs. Balance

Serap Tay StamoulasMuruhan Rathinam
Feb 2019
摘要
We propose and study a stochastic binary opinion model where agents in agroup are considered to hold an opinion of 0 or 1 at each moment. An agent inthe group updates his/her opinion based on the group's opinion configurationand his/her \emph{personality}. Considering the number of agents with opinion 1as a continuous time Markov process, we analyze the long-term probabilities forlarge population size in relation to the personalities of the group. Inparticular, we focus on the question of ``balance'' where both opinions arepresent in nearly equal numbers as opposed to ``dominance'' where one opinionis present in a greater number.
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