IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v607y2022ics0378437122007579.html
   My bibliography  Save this article

Impact of memory and bias in kinetic exchange opinion models on random networks

Author

Listed:
  • Oestereich, André L.
  • Crokidakis, Nuno
  • Cajueiro, Daniel O.

Abstract

In this work we consider the effects of memory and bias in kinetic exchange opinion models defined on random Erdos–Rényi networks. We propose a model in which agents remember the sign of their last interaction with each one of their pairs. This introduces memory effects in the model, since past interactions can affect future ones. We have also considered the impact of a parameter q that regulates how often an agent changes its interaction to match its opinion, thus introducing bias in the interactions. For high values of q an agent is more likely to start having a negative interaction with an agent of opposing opinion and a positive interaction with an agent of the same opinion. The model is defined on the top of random networks with mean connectivity 〈k〉. We analyze the impact of both q and 〈k〉 on the emergence of ordered and disordered states in the population. Our results suggest a rich phenomenology regarding critical phenomena, with the presence of metastable states and a non-monotonic behavior of the order parameter. We show that the fraction of neutral agents in the disordered state decreases as the bias q increases.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:607:y:2022:i:c:s0378437122007579
    DOI: 10.1016/j.physa.2022.128199
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122007579
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.128199?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. Raquel, M.T.S.A. & Lima, F.W.S. & Alves, T.F.A. & Alves, G.A. & Macedo-Filho, A. & Plascak, J.A., 2022. "Non-equilibrium kinetic Biswas–Chatterjee–Sen model on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    2. Boschi, Gioia & Cammarota, Chiara & Kühn, Reimer, 2020. "Opinion dynamics with emergent collective memory: A society shaped by its own past," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    3. 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.
    4. Peralta, Antonio F. & Khalil, Nagi & Toral, Raúl, 2020. "Ordering dynamics in the voter model with aging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 552(C).
    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. Fabiana Zollo & Petra Kralj Novak & Michela Del Vicario & Alessandro Bessi & Igor Mozetič & Antonio Scala & Guido Caldarelli & Walter Quattrociocchi, 2015. "Emotional Dynamics in the Age of Misinformation," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-22, September.
    7. Crokidakis, Nuno & Galam, Serge, 2022. "After 2018 Bolsonaro victory, is a 2022 remake feasible?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    8. Jędrzejewski, Arkadiusz & Sznajd-Weron, Katarzyna, 2018. "Impact of memory on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 306-315.
    9. 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.
    10. Nuno Crokidakis, 2022. "A simple mechanism leading to first-order phase transitions in a model of tax evasion," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-11, June.
    11. Gambaro, Joao Paulo & Crokidakis, Nuno, 2017. "The influence of contrarians in the dynamics of opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 465-472.
    12. Armen E Allahverdyan & Aram Galstyan, 2014. "Opinion Dynamics with Confirmation Bias," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-14, July.
    13. Boschi, Gioia & Cammarota, Chiara & Kühn, Reimer, 2021. "Opinion dynamics with emergent collective memory: The impact of a long and heterogeneous news history," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    14. 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).
    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. 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).
    2. 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).
    3. Boschi, Gioia & Cammarota, Chiara & Kühn, Reimer, 2021. "Opinion dynamics with emergent collective memory: The impact of a long and heterogeneous news history," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    4. 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).
    5. 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.
    6. Célestin Coquidé & José Lages & Dima Shepelyansky, 2024. "Opinion Formation in the World Trade Network," Post-Print hal-04461784, HAL.
    7. Serge Galam, 2016. "The invisible hand and the rational agent are behind bubbles and crashes," Papers 1601.02990, arXiv.org.
    8. 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.
    9. Toth, Gabor & Galam, Serge, 2022. "Deviations from the majority: A local flip model," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    10. Antonio Parravano & Ascensión Andina-Díaz & Miguel A Meléndez-Jiménez, 2016. "Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-23, October.
    11. Wu, Yujia & Guo, Peng, 2024. "Effects of relative homophily and relative heterophily on opinion dynamics in coevolving networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 644(C).
    12. 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.
    13. Wang, Chaoqian, 2021. "Opinion dynamics with bilateral propaganda and unilateral information blockade," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    14. Khalil, Nagi & Toral, Raúl, 2019. "The noisy voter model under the influence of contrarians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 81-92.
    15. Bartłomiej Nowak & Katarzyna Sznajd-Weron, 2019. "Homogeneous Symmetrical Threshold Model with Nonconformity: Independence versus Anticonformity," Complexity, Hindawi, vol. 2019, pages 1-14, April.
    16. Mukherjee, Sudip & Biswas, Soumyajyoti & Chatterjee, Arnab & Chakrabarti, Bikas K., 2021. "The Ising universality class of kinetic exchange models of opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    17. Galam, Serge, 2016. "The invisible hand and the rational agent are behind bubbles and crashes," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 209-217.
    18. 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.
    19. Maia, H.P. & Ferreira, S.C. & Martins, M.L., 2021. "Adaptive network approach for emergence of societal bubbles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    20. Takesue, Hirofumi, 2023. "Relative opinion similarity leads to the emergence of large clusters in opinion formation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).

    More about this item

    Keywords

    Opinion dynamics; Collective phenomena;

    Statistics

    Access and download statistics

    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:phsmap:v:607:y:2022:i:c:s0378437122007579. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.