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Reaching consensus on rumors

Author

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  • Merlone, U.
  • Radi, D.

Abstract

An important contribution in sociophysics is the Galam’s model of rumors spreading. This model provides an explanation of rumors spreading in a population and explains some interesting social phenomena such as the diffusion of hoaxes. In this paper the model has been reformulated as a Markov process highlighting the stochastic nature of the phenomena. This formalization allows us to derive conditions for consensus to be reached and for the existence of some interesting phenomena such as the emergence of impasses. The proposed formulation allows a deeper and more comprehensive analysis of the diffusion of rumors.

Suggested Citation

  • Merlone, U. & Radi, D., 2014. "Reaching consensus on rumors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 260-271.
    • Handle: RePEc:eee:phsmap:v:406:y:2014:i:c:p:260-271
    DOI: 10.1016/j.physa.2014.03.048
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    References listed on IDEAS

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    1. Förster, Manuel & Grabisch, Michel & Rusinowska, Agnieszka, 2013. "Anonymous social influence," Games and Economic Behavior, Elsevier, vol. 82(C), pages 621-635.
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    Cited by:

    1. Buechel, Berno & Hellmann, Tim & Klößner, Stefan, 2015. "Opinion dynamics and wisdom under conformity," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 240-257.
    2. Anufriev, Mikhail & Borissov, Kirill & Pakhnin, Mikhail, 2023. "Dissonance minimization and conversation in social networks," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 167-191.
    3. Lu, Peng, 2019. "Heterogeneity, judgment, and social trust of agents in rumor spreading," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 447-461.
    4. Lu, Peng & Deng, Liping & Liao, Hongbing, 2019. "Conditional effects of individual judgment heterogeneity in information dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 335-344.
    5. Zhu, Liang & Wang, Youguo, 2017. "Rumor spreading model with noise interference in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 750-760.
    6. Lu, Peng & Yao, Qi & Lu, Pengfei, 2019. "Two-stage predictions of evolutionary dynamics during the rumor dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 349-369.
    7. Kumar, Ajay & Swarnakar, Pradip & Jaiswal, Kamya & Kurele, Ritika, 2020. "SMIR model for controlling the spread of information in social networking sites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    8. Lo Schiavo, Mauro & Prinari, Barbara & Saito, Ikuko & Shoji, Kotaro & Benight, Charles C., 2019. "A dynamical systems approach to triadic reciprocal determinism of social cognitive theory," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 159(C), pages 18-38.

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