A Stochastic Binary Opinion Model
Serap Tay Stamoulas1*, Muruhan Rathinam 2
1Department of Mathematics, Dicle University , Diyarbakır, Turkey
2Department of Mathematics, University of Maryland , Baltimore , Usa
* Corresponding author: serap.taystamoulas@dicle.edu.tr
Presented at the Ist International Symposium on Innovative Approaches in Scientific Studies (ISAS 2018), Kemer-Antalya, Turkey, Apr 11, 2018
SETSCI Conference Proceedings, 2018, 2, Page (s): 89-89 , https://doi.org/
Published Date: 23 June 2018 |
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Abstract
With the development of technology and growth of social networking among individuals, the quantitative study of social dynamics has attracted a great interest from researchers. In this study, we propose a stochastic binary opinion model where agents are considered to hold an opinion of ``yes" or ``no" at each moment. In this model, the number of agents with opinion ``yes" at time t is considered to be a birth-death process, and the configuration of the opinions at each moment is determined by a probability distribution. The rate an agent changes his/her opinion depends on the influence of the group's current state on the agent, given with a social-impact function, and a scalar self-motivation coefficient. We analyze the stationary probabilities with regard to the social-impact function and the self- motivation coefficient. We present numerical results showing the cases of the dominance of an opinion as well as of balanced opinions.
Keywords - Social Dynamics, Stochastic Models, Asymptotic analysis
References