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Opinion evolution in the Sznajd model on interdependent chains

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  • Shang, Lihui
  • Zhao, Mingming
  • Ai, Jun
  • Su, Zhan

Abstract

Most previous works study the evolution of opinions by commonly employing an isolated single network. However, this is not fully consistent with recent identification that interaction between networks plays a crucial rule in the dynamical behaviors taking place on them. In this work, we consider a system including two chains with the same size, entangled with each other by the introduction of probabilistic interconnections and communication. We introduce the Sznajd model into such system and study how the coupling effect influences the evolution of opinions of the whole system. Simulation results show that strong interaction and communication between two interdependent chains promote the whole system to achieve consensus easily. Interestingly, we find that with the increase of connection probability, the time evolutions of magnetization of the two chains are gradually consistent and there exists an intermediate region of intercommunication probability leading to the shortest exit time. In addition, the exit time depends on the numbers of Ising spins in a power-law form. The consensus of one chain can change the critical behavior of the other even with a small connection or communication probability.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:565:y:2021:i:c:s0378437120308566
    DOI: 10.1016/j.physa.2020.125558
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    References listed on IDEAS

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    1. Santo Fortunato, 2005. "The Sznajd Consensus Model With Continuous Opinions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 17-24.
    2. K. Sznajd-Weron & R. Weron, 2002. "A Simple Model Of Price Formation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 115-123.
    3. Mingfeng He & Bei Li & Haixuan Xu & Lidong Luo, 2005. "A Three-Opinion Sznajd Model With Limited Persuasion And Its Applications," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(10), pages 1499-1506.
    4. F. Slanina & H. Lavicka, 2003. "Analytical results for the Sznajd model of opinion formation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 35(2), pages 279-288, September.
    5. Santo Fortunato, 2004. "The Krause–Hegselmann Consensus Model With Discrete Opinions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(07), pages 1021-1029.
    6. 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.
    7. Michalis Smyrnakis & Dario Bauso & Tembine Hamidou, 2019. "An evolutionary game perspective on quantised consensus in opinion dynamics," PLOS ONE, Public Library of Science, vol. 14(1), pages 1-17, January.
    8. Kondrat, Grzegorz, 2011. "How to introduce temperature to the 1D Sznajd model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 2087-2095.
    9. Rafał Apriasz & Tyll Krueger & Grzegorz Marcjasz & Katarzyna Sznajd-Weron, 2016. "The Hunt Opinion Model—An Agent Based Approach to Recurring Fashion Cycles," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-19, November.
    10. 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.
    11. A. S. Elgazzar, 2001. "Application Of The Sznajd Sociophysics Model To Small-World Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(10), pages 1537-1544.
    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. Iksoo Chang, 2001. "Sznajd Sociophysics Model On A Triangular Lattice: Ferro And Antiferromagnetic Opinions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(10), pages 1509-1512.
    14. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    15. 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.
    16. Katarzyna Sznajd-Weron, 2005. "Sznajd model and its applications," HSC Research Reports HSC/05/04, Hugo Steinhaus Center, Wroclaw University of Science and Technology.
    17. Sznajd-Weron, Katarzyna & Sznajd, Józef, 2005. "Who is left, who is right?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 593-604.
    18. 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.
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