Raoul Prisant
Continuous Opinion and Discrete Actions in social dynamics: analysis of a quantized model.
Rel. Francesca Maria Ceragioli, Paolo Frasca. Politecnico di Torino, Master of science program in Mathematical Engineering, 2023
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Abstract
Opinion dynamics study the evolution of the ideas of interacting individuals, whether they are people, organizations, or entire communities. Social networks are modeled as graphs, in which every node represents an individual, paired with a real number that models its opinion, and every edge represents an interaction or a social bond. In recent years, interest in the topic has been increasing, and different models have been proposed. The present work focuses on the analysis of a quantized model, which is founded on the premise that people don't have access to the exact opinion of the individuals they are interacting with. Instead, every person can infer an approximation of their interlocutors' opinion based on the behaviour they display.
The model in question is discontinuous in state and piecewise linear
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