arXiv subjects

Serap Tay Stamoulas

Publications and source records attributed to Serap Tay Stamoulas.

2 recordsLinked to original sources

arXiv2022

A Stochastic Binary Opinion Model: Opinion Dominance vs. Balance

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.

physics.soc-ph↗

arXiv2017

Convergence, stability and robustness of multidimensional opinion dynamics in continuous time

We analyze a continuous time multidimensional opinion model where agents have heterogeneous but symmetric and compactly supported interaction functions. We consider Filippov solutions of the resulting dynamics and show strong Lyapunov stability of all equilibria in the relative interior of the set of equilibria. We investigate robustness of equilibria when a new agent with arbitrarily small weight is introduced to the system in equilibrium. Assuming the interaction functions to be indicators, we provide a necessary condition and a sufficient condition for robustness of the equilibria. Our necessary condition coincides with the necessary and sufficient condition obtained by Blondel et al. for one dimensional opinions.

math.DS↗