Majority Vote Model on Multiplex Networks

• Authors: A. Krawiecki , T. Gradowski , G. Siudem
• Languages of publication: EN

Abstracts

EN

Majority vote model on multiplex networks with two independently generated layers in the form of scale-free networks is investigated by means of Monte Carlo simulations and heterogeneous mean-field approximation. In a version of the model under study each agent with probability 1-q (0≤q≤1/2) follows the opinions of the majorities of her neighbors within both layers if these opinions are identical; otherwise, she makes decision randomly. The model exhibits second-order ferromagnetic transition as q, the parameter measuring the level of internal noise, is decreased, with critical exponents depending on the details of the degree distributions in the layers. The critical value q_{c} of the parameter q evaluated in the heterogeneous mean-field approximation shows quantitative agreement with that obtained from numerical simulations for a broad range of parameters characterizing the degree distributions of the layers.

Keywords

EN

opinion formation; majority vote model; multiplex networks

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 6
• Pages: 1433-1440

Dates

published

2018-06

Contributors

author

A. Krawiecki

• Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00662 Warsaw, Poland

author

T. Gradowski

• Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00662 Warsaw, Poland

author

G. Siudem

• Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00662 Warsaw, Poland

Identifiers

DOI

10.12693/APhysPolA.133.1433