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

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  • 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
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    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).
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    Keywords

    Opinion dynamics; Collective phenomena;

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