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Opinion dynamics using majority functions

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  • Melatagia Yonta, Paulin
  • Ndoundam, René

Abstract

In this paper, we study the convergence of a mathematical model of opinion dynamics called the majority model. In this model, at each iteration step, each individual adopts the opinion which exerts on him the maximum social pressure. Under some assumptions on interaction among members of the society, we show that, in parallel mode, attractors of the system have period at most two and in sequential mode only fixed points are obtained. We also bound the transient length of iteration graphs of the society in both studied iterating modes.

Suggested Citation

  • Melatagia Yonta, Paulin & Ndoundam, René, 2009. "Opinion dynamics using majority functions," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 223-244, March.
    • Handle: RePEc:eee:matsoc:v:57:y:2009:i:2:p:223-244
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    References listed on IDEAS

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    1. 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.
    2. Guillaume Deffuant & Frederic Amblard & Gérard Weisbuch, 2002. "How Can Extremism Prevail? a Study Based on the Relative Agreement Interaction Model," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(4), pages 1-1.
    3. Goles, E. & Tchuente, M., 1983. "Iterative behaviour of generalized majority functions," Mathematical Social Sciences, Elsevier, vol. 4(3), pages 197-204, July.
    4. 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.
    5. 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.
    6. Galam, Serge, 1999. "Application of statistical physics to politics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 132-139.
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    Cited by:

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