The Mean-Field Approximation for the SCARDO Model in the Case of 3-element Opinion Space: Fixed Points and Exact Solutions

Vladislav N. Gezha Moscow Institute of Physics and Technology, Dolgoprudny, Russia; V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia
Ivan V. Kozitsin Moscow Institute of Physics and Technology, Dolgoprudny, Russia; V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

Keywords: opinion dynamics models, SCARDO-model, mean-field approximation

Abstract

We analyze the SCARDO model in the case of the 3-element opinion space under specific constraints on the transition table parameters that allows to link the problem at stake to the case of the 2-element opinion space that has been thoroughly studied previously. We characterize the properties of fixed points and support our findings by numerical experiments. Further, we manage to find out those settings that ensure the system almost surely reaches a specific domain in the phase space, after which its behavior can be predicted analytically.

Published

2024-07-15

Issue

Vol 24 No 02 (2024): Advances in Systems Science and Applications

Section

Articles