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Non-consensus states in circular opinion model with repulsive interaction

Author

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  • Han, Wenchen
  • Gao, Shun
  • Huang, Changwei
  • Yang, Junzhong

Abstract

Most of opinion models focus on consensus induced by assimilation effects (attractive interaction). The roles of backfire effects (repulsive interaction dependent upon opinion difference) on non-consensus states are less paid attentions on. In this work, we introduce circular opinion which is defined on a circle with a circumference of 1. We study a circular opinion model on a ring with the backfire effect. The interplay between circular opinions and repulsive interaction leads to rich opinion dynamics. We identify six types of opinion states according to their profiles in opinion space and their spatial organizations: three opinion states without spatial structure including disordered state, fragment state with several opinion clusters, and polarized state with only two opinion clusters; three opinion states with spatial structure, travelling polarized state which is a tilted polarized state in space, clustered polarized states and clustered, and travelling clustered polarized state. The stability diagrams of different opinion states have been explored on the parameter plane and we find the coexistence among different opinion states is prevalent.

Suggested Citation

  • Han, Wenchen & Gao, Shun & Huang, Changwei & Yang, Junzhong, 2022. "Non-consensus states in circular opinion model with repulsive interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    • Handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121007019
    DOI: 10.1016/j.physa.2021.126428
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    as
    1. Pérez-Llanos, Mayte & Pinasco, Juan Pablo & Saintier, Nicolas, 2020. "Opinion attractiveness and its effect in opinion formation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    2. Kurmyshev, Evguenii & Juárez, Héctor A. & González-Silva, Ricardo A., 2011. "Dynamics of bounded confidence opinion in heterogeneous social networks: Concord against partial antagonism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2945-2955.
    3. Kashisaz, Hadi & Hosseini, S. Samira & Darooneh, Amir H., 2014. "The effect of zealots on the rate of consensus achievement in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 49-57.
    4. Rainer Hegselmann & Ulrich Krause, 2002. "Opinion Dynamics and Bounded Confidence Models, Analysis and Simulation," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(3), pages 1-2.
    5. AskariSichani, Omid & Jalili, Mahdi, 2015. "Influence maximization of informed agents in social networks," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 229-239.
    6. Fu, Guiyuan & Zhang, Weidong & Li, Zhijun, 2015. "Opinion dynamics of modified Hegselmann–Krause model in a group-based population with heterogeneous bounded confidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 558-565.
    7. Han, Wenchen & Huang, Changwei & Yang, Junzhong, 2019. "Opinion clusters in a modified Hegselmann–Krause model with heterogeneous bounded confidences and stubbornness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    8. Chong, Dennis & Druckman, James N., 2007. "Framing Public Opinion in Competitive Democracies," American Political Science Review, Cambridge University Press, vol. 101(4), pages 637-655, November.
    9. Shun Gao & Changwei Huang & Wenchen Han & Junzhong Yang, 2020. "General consensus with circular opinion under attractive and repulsive mechanisms," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-11, March.
    10. Hou, Jian & Li, Wenshan & Jiang, Mingyue, 2021. "Opinion dynamics in modified expressed and private model with bounded confidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    11. Han, Wenchen & Feng, Yuee & Qian, Xiaolan & Yang, Qihui & Huang, Changwei, 2020. "Clusters and the entropy in opinion dynamics on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    12. 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.
    13. Huang, Changwei & Dai, Qionglin & Han, Wenchen & Feng, Yuee & Cheng, Hongyan & Li, Haihong, 2018. "Effects of heterogeneous convergence rate on consensus in opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 428-435.
    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. Vinogradova, Galina & Galam, Serge, 2013. "Rational instability in the natural coalition forming," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6025-6040.
    16. 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.
    17. S. Huet & G. Deffuant & W. Jager, 2008. "A Rejection Mechanism In 2d Bounded Confidence Provides More Conformity," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 529-549.
    18. Armen E Allahverdyan & Aram Galstyan, 2014. "Opinion Dynamics with Confirmation Bias," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-14, July.
    19. Verma, Gunjan & Swami, Ananthram & Chan, Kevin, 2014. "The impact of competing zealots on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 310-331.
    20. Charcon, D.Y. & Monteiro, L.H.A., 2020. "A multi-agent system to predict the outcome of a two-round election," Applied Mathematics and Computation, Elsevier, vol. 386(C).
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    Cited by:

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