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Mass media and its impact on opinion dynamics of the nonlinear q-voter model

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  • Muslim, Roni
  • NQZ, Rinto Anugraha
  • Khalif, Muhammad Ardhi

Abstract

With the success of general conceptual frameworks of statistical physics, many scholars have tried to apply these concepts to other interdisciplinary fields, such as socio-politics, economics, biology, medicine, and many more. In this work, we study the effect of mass media on opinion evolution based on the nonlinear q-voter by means with probability p a voter adopts the mass media opinion whenever a q-sized agent in the population is not in unanimous agreement. We perform analytical and numerical calculations for some quantities of macroscopic parameters of the model such as order parameter (representing an average of public opinion), consensus (relaxation) time, and exit probability, and obtain the agreement results. We find the power-law relations for some quantities of the model. (1) The probability threshold pt, i.e a probability that makes the system reaches a homogeneous state, follows the power-law relation pt∼qγ with the q-sized agent, where γ=−1.00±0.01 is the best fitting parameter. The probability threshold pt also eliminates the coexistence two ordered states of the model. (2) The relaxation time (the time needed by the system to reach consensus) τ with the population size N is obtained in the form of τ∼Nδ, where δ depends on the probability p and q-sized agent. We also approximate the separator point rs and the system’s scaling parameters by employing the standard finite-size scaling relation.

Suggested Citation

  • Muslim, Roni & NQZ, Rinto Anugraha & Khalif, Muhammad Ardhi, 2024. "Mass media and its impact on opinion dynamics of the nonlinear q-voter model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    • Handle: RePEc:eee:phsmap:v:633:y:2024:i:c:s0378437123009135
    DOI: 10.1016/j.physa.2023.129358
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    References listed on IDEAS

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    1. Nyczka, Piotr & Cisło, Jerzy & Sznajd-Weron, Katarzyna, 2012. "Opinion dynamics as a movement in a bistable potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 317-327.
    2. María Cecilia Gimenez & Luis Reinaudi & Ana Pamela Paz-García & Paulo Marcelo Centres & Antonio José Ramirez-Pastor, 2021. "Opinion evolution in the presence of constant propaganda: homogeneous and localized cases," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(1), pages 1-11, January.
    3. Xinyu Wu & Di Xiao & Chui-Zhen Chen & Jian Sun & Ling Zhang & Moses H. W. Chan & Nitin Samarth & X. C. Xie & Xi Lin & Cui-Zu Chang, 2020. "Scaling behavior of the quantum phase transition from a quantum-anomalous-Hall insulator to an axion insulator," Nature Communications, Nature, vol. 11(1), pages 1-7, December.
    4. Roni Muslim & Rinto Anugraha & Sholihun Sholihun & Muhammad Farchani Rosyid, 2020. "Phase transition of the Sznajd model with anticonformity for two different agent configurations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-16, February.
    5. Juan Carlos González-Avella & Mario G. Cosenza & Konstantin Klemm & Víctor M. Eguíluz & Maxi San Miguel, 2007. "Information Feedback and Mass Media Effects in Cultural Dynamics," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 10(3), pages 1-9.
    6. Li, Tingyu & Zhu, Hengmin, 2020. "Effect of the media on the opinion dynamics in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    7. A. O. Sousa & T. Yu-Song & M. Ausloos, 2008. "Effects of agents' mobility on opinion spreading in Sznajd model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 66(1), pages 115-124, November.
    8. Roni Muslim & Rinto Anugraha & Sholihun Sholihun & Muhammad Farchani Rosyid, 2021. "Phase transition and universality of the three-one spin interaction based on the majority-rule model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 32(09), pages 1-12, September.
    9. Pineda, M. & Buendía, G.M., 2015. "Mass media and heterogeneous bounds of confidence in continuous opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 73-84.
    10. Pabjan, Barbara & Pękalski, Andrzej, 2008. "Model of opinion forming and voting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6183-6189.
    11. Quanbo Zha & Gang Kou & Hengjie Zhang & Haiming Liang & Xia Chen & Cong-Cong Li & Yucheng Dong, 2020. "Opinion dynamics in finance and business: a literature review and research opportunities," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 6(1), pages 1-22, December.
    12. Premananda Indic & Paola Salvatore & Carlo Maggini & Stefano Ghidini & Gabriella Ferraro & Ross J Baldessarini & Greg Murray, 2011. "Scaling Behavior of Human Locomotor Activity Amplitude: Association with Bipolar Disorder," PLOS ONE, Public Library of Science, vol. 6(5), pages 1-8, May.
    13. Tiwari, Mukesh & Yang, Xiguang & Sen, Surajit, 2021. "Modeling the nonlinear effects of opinion kinematics in elections: A simple Ising model with random field based study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    14. Karina I. Mazzitello & Julián Candia & Víctor Dossetti, 2007. "Effects Of Mass Media And Cultural Drift In A Model For Social Influence," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(09), pages 1475-1482.
    15. Jan Lorenz, 2007. "Continuous Opinion Dynamics Under Bounded Confidence: A Survey," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(12), pages 1819-1838.
    16. D. Stauffer & A. O. Sousa & S. Moss De Oliveira, 2000. "Generalization To Square Lattice Of Sznajd Sociophysics Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1239-1245.
    17. Qesmi, Redouane, 2021. "Dynamics of an opinion model with threshold-type delay," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    18. Hossein Noorazar & Kevin R. Vixie & Arghavan Talebanpour & Yunfeng Hu, 2020. "From classical to modern opinion dynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(07), pages 1-60, July.
    19. Javarone, Marco Alberto, 2014. "Social influences in opinion dynamics: The role of conformity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 19-30.
    20. Azhari & Roni Muslim, 2023. "The external field effect on the opinion formation based on the majority rule and the q-voter models on the complete graph," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(07), pages 1-14, July.
    21. Muslim, Roni & Wella, Sasfan A. & Nugraha, Ahmad R.T., 2022. "Phase transition in the majority rule model with the nonconformist agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P2).
    22. Crokidakis, Nuno, 2012. "Effects of mass media on opinion spreading in the Sznajd sociophysics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1729-1734.
    23. Oestereich, A.L. & Pires, M.A. & Duarte Queirós, S.M. & Crokidakis, N., 2020. "Hysteresis and disorder-induced order in continuous kinetic-like opinion dynamics in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
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