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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 16: Social Systems, Opinion and Group Dynamics
SOE 16.6: Vortrag
Mittwoch, 20. März 2024, 17:00–17:15, MA 001
Poll-delayed immitation in the noisy voter model — •Aleksejus Kononovicius1, Rokas Astrauskas2, Marijus Radavicius2, and Feliksas Ivanauskas2 — 1Institute of Theoretical Physics and Astronomy, Vilnius University, Vilnius, Lithuania — 2Faculty of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania
Noisy voter model is driven by two mechanisms: exploration and peer pressure. Exploration corresponds to the independent noisy flipping of individual agent states. Peer pressure on the other hand encourages the agents to copy the state of their peers (i.e., imitate their behavior). Here we consider an extension of the noisy voter model in which the peer pressure is exerted via the polling mechanism. As typical in the real world polling information is at least somewhat delayed. We show that when delay is comparatively short, the poll-delayed model is statistically identical to the original model. As delays become longer, oscillatory behavior emerges, but the model still converges to a steady state distribution. The effect of polling mechanism is explored both analytically and numerically.
Keywords: voter model; polls; time-delayed system; time lags