IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v189y2024ip2s0960077924012700.html
   My bibliography  Save this article

The impact of social noise on the majority rule model across various network topologies

Author

Listed:
  • Muslim, Roni
  • Mulya, Didi Ahmad
  • Akbar, Zulkaida
  • NQZ, Rinto Anugraha

Abstract

We explore the impact of social noise, characterized by nonconformist behavior, on the phase transition within the framework of the majority rule model. The order–disorder transition can reflect the consensus-polarization state in a social context. This study covers various network topologies, including complete graphs, two-dimensional (2-D) square lattices, three-dimensional (3-D) square lattices, and heterogeneous or complex networks such as Watts–Strogatz (W–S), Barabási–Albert (B–A), and Erdős–Rényi (E–R) networks, as well as their combinations (multilayer network). Social behavior is represented by the parameter p, which indicates the probability of agents exhibiting nonconformist behavior. Our results show that the model exhibits a continuous phase transition across all networks. Through finite-size scaling analysis and evaluation of critical exponents, our results suggest that the model falls into the same universality class as the Ising model.

Suggested Citation

  • Muslim, Roni & Mulya, Didi Ahmad & Akbar, Zulkaida & NQZ, Rinto Anugraha, 2024. "The impact of social noise on the majority rule model across various network topologies," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
  • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p2:s0960077924012700
    DOI: 10.1016/j.chaos.2024.115718
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924012700
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2024.115718?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Didi Ahmad Mulya & Roni Muslim, 2024. "Phase transition and universality of the majority-rule model on complex networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 35(10), pages 1-14, October.
    4. Biswas, Soumyajyoti & Chatterjee, Arnab & Sen, Parongama, 2012. "Disorder induced phase transition in kinetic models of opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3257-3265.
    5. Serge Galam, 2008. "Sociophysics: A Review Of Galam Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 409-440.
    6. Azhari, & Muslim, Roni & Mulya, Didi Ahmad & Indrayani, Heni & Wicaksana, Cakra Adipura & Rizki, Akbar, 2024. "Independence role in the generalized Sznajd model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 652(C).
    7. 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).
    8. Katarzyna Sznajd-Weron & Józef Sznajd, 2000. "Opinion Evolution In Closed Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1157-1165.
    9. Calvelli, Matheus & Crokidakis, Nuno & Penna, Thadeu J.P., 2019. "Phase transitions and universality in the Sznajd model with anticonformity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 518-523.
    10. 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.
    11. Galam, Serge, 2004. "Sociophysics: a personal testimony," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 49-55.
    12. Guillaume Deffuant & David Neau & Frederic Amblard & Gérard Weisbuch, 2000. "Mixing beliefs among interacting agents," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 3(01n04), pages 87-98.
    13. 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).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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).
    2. Calvelli, Matheus & Crokidakis, Nuno & Penna, Thadeu J.P., 2019. "Phase transitions and universality in the Sznajd model with anticonformity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 518-523.
    3. 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).
    4. Lu, Xi & Mo, Hongming & Deng, Yong, 2015. "An evidential opinion dynamics model based on heterogeneous social influential power," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 98-107.
    5. Célestin Coquidé & José Lages & Dima Shepelyansky, 2024. "Opinion Formation in the World Trade Network," Post-Print hal-04461784, HAL.
    6. 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.
    7. 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).
    8. Agnieszka Kowalska-Styczeń & Krzysztof Malarz, 2020. "Noise induced unanimity and disorder in opinion formation," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-22, July.
    9. Qian, Shen & Liu, Yijun & Galam, Serge, 2015. "Activeness as a key to counter democratic balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 187-196.
    10. Azhari, & Muslim, Roni & Mulya, Didi Ahmad & Indrayani, Heni & Wicaksana, Cakra Adipura & Rizki, Akbar, 2024. "Independence role in the generalized Sznajd model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 652(C).
    11. 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).
    12. Gimenez, M. Cecilia & Paz García, Ana Pamela & Burgos Paci, Maxi A. & Reinaudi, Luis, 2016. "Range of interaction in an opinion evolution model of ideological self-positioning: Contagion, hesitance and polarization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 320-330.
    13. Ni, Xuelian & Xiong, Fei & Pan, Shirui & Chen, Hongshu & Wu, Jia & Wang, Liang, 2023. "How heterogeneous social influence acts on human decision-making in online social networks," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    14. Serge Galam & Marco Alberto Javarone, 2016. "Modeling Radicalization Phenomena in Heterogeneous Populations," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-15, May.
    15. Sznajd-Weron, Katarzyna & Sznajd, Józef & Weron, Tomasz, 2021. "A review on the Sznajd model — 20 years after," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    16. Oestereich, André L. & Crokidakis, Nuno & Cajueiro, Daniel O., 2022. "Impact of memory and bias in kinetic exchange opinion models on random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    17. Pedraza, Lucía & Pinasco, Juan Pablo & Semeshenko, Viktoriya & Balenzuela, Pablo, 2023. "Mesoscopic analytical approach in a three state opinion model with continuous internal variable," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    18. Shang, Lihui & Zhao, Mingming & Ai, Jun & Su, Zhan, 2021. "Opinion evolution in the Sznajd model on interdependent chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    19. Serge Galam, 2016. "The invisible hand and the rational agent are behind bubbles and crashes," Papers 1601.02990, arXiv.org.
    20. Javarone, Marco Alberto, 2016. "An evolutionary strategy based on partial imitation for solving optimization problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 262-269.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:189:y:2024:i:p2:s0960077924012700. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.