Majority Vote Model on Multiplex Networks |
| A. Krawiecki, T. Gradowski, G. Siudem
Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00662 Warsaw, Poland |
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| 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 qc 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. |
DOI:10.12693/APhysPolA.133.1433 topics: opinion formation, majority vote model, multiplex networks |