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The Sznajd Consensus Model With Continuous Opinions

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  • SANTO FORTUNATO

    (Fakultät für Physik, Universität Bielefeld, D-33501 Bielefeld, Germany)

Abstract

In the consensus model of Sznajd, opinions are integers and a randomly chosen pair of neighboring agents with the same opinion forces all their neighbors to share that opinion. We propose a simple extension of the model to continuous opinions, based on the criterion of bounded confidence which is at the basis of other popular consensus models. Here, the opinionsis a real number between 0 and 1, and a parameter ∊ is introduced such that two agents are compatible if their opinions differ from each other by less than ∊. If two neighboring agents are compatible, they take the meansmof their opinions and try to impose this value to their neighbors. We find that if all neighbors take the average opinionsm, the system reaches complete consensus for any value of the confidence bound ∊. We propose as well a weaker prescription for the dynamics and discuss the corresponding results.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:01:n:s0129183105006917
    DOI: 10.1142/S0129183105006917
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    References listed on IDEAS

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    1. Hoover, W.G., 1995. "Comment on “Two disks in a box” [R.J. Speedy, Physica A 210 (1994) 341]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 195-195.
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    Cited by:

    1. Hendrickx, Julien M., 2008. "Order preservation in a generalized version of Krause’s opinion dynamics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5255-5262.
    2. 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).
    3. 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).
    4. Jalili, Mahdi, 2013. "Social power and opinion formation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 959-966.
    5. Rainer Hegselmann & Stefan König & Sascha Kurz & Christoph Niemann & Jörg Rambau, 2015. "Optimal Opinion Control: The Campaign Problem," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 18(3), pages 1-18.
    6. Balankin, Alexander S. & Martínez Cruz, Miguel Ángel & Martínez, Alfredo Trejo, 2011. "Effect of initial concentration and spatial heterogeneity of active agent distribution on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3876-3887.
    7. 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).

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