Opinion Dynamics on Graphon: the piecewise constant case

Autor: Aletti, Giacomo, Naldi, Giovanni
Rok vydání: 2022
Předmět:
Zdroj: Applied Mathematics Letters, Volume 133 (2022), 108227
Druh dokumentu: Working Paper
DOI: 10.1016/j.aml.2022.108227
Popis: The study of network supported opinion dynamics in large groups of autonomous agents is attracting an increasing interest during the last years. In this paper, we proposed the use of the recent graphon theory to model and simulate an interacting system describing the evolution of individual opinions over an arbitrary size networks. Specifically, we prove the existence and uniqueness of the limit problem that approximates a very large networks made by homogeneous groups of agents. The significant new example is the mean field analysis deduced from the graphon limit systems in the case of piecewise constant graphon.
Databáze: arXiv