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Updated: May 14, 2026

A System for Tracking the Dynamics of Social Preference Behavior in Small Rodents
Published on: November 21, 2019
Analytic treatment of tipping points for social consensus in large random networks
W Zhang1, C Lim, B K Szymanski
1NeST Center and Mathematical Sciences Department, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180-3590, USA. zhangw10@rpi.edu
Abstract:
We introduce a homogeneous pair approximation to the naming game (NG) model by deriving a six-dimensional Open Dynamics Engine (ODE) for the two-word naming game. Our ODE reveals the change in dynamical behavior of the naming game as a function of the average degree {k} of an uncorrelated network. This result is in good agreement with the numerical results. We also analyze the extended NG model that allows for presence of committed nodes and show that there is a shift of the tipping point for social consensus in sparse networks.
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