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Real space renormalization group and totalitarian paradox of majority rule voting

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  • Galam, Serge

Abstract

The effect of majority rule voting in hierarchical structures is studied using the basic concepts from real space renormalization group. It shows in particular that a huge majority can be self-eliminated while climbing up the hierarchy levels. This majority democratic self-elimination articulates around the existence of fixed points in the voting flow. An unstable fixed point determines the critical threshold to full and total power. It can be varied from 50% up to 77% of initial support. Our model could shed new light on the last century eastern European communist collapse.

Suggested Citation

  • Galam, Serge, 2000. "Real space renormalization group and totalitarian paradox of majority rule voting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(1), pages 66-76.
    • Handle: RePEc:eee:phsmap:v:285:y:2000:i:1:p:66-76
    DOI: 10.1016/S0378-4371(00)00272-7
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    References listed on IDEAS

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    1. R. Florian & S. Galam, 2000. "Optimizing conflicts in the formation of strategic alliances," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 16(1), pages 189-194, July.
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    Cited by:

    1. Mario H. Ramírez Díaz & Eduardo Chávez Lima, 2014. "Uso de la sociofísica para realizar predicciones electorales utilizando algoritmos genéticos," Tecsistecatl, Servicios Académicos Intercontinentales SL, issue 16, June.
    2. Dimitris Tsintsaris & Milan Tsompanoglou & Evangelos Ioannidis, 2024. "Dynamics of Social Influence and Knowledge in Networks: Sociophysics Models and Applications in Social Trading, Behavioral Finance and Business," Mathematics, MDPI, vol. 12(8), pages 1-27, April.
    3. Soares, João P.M. & Fontanari, José F., 2024. "N-player game formulation of the majority-vote model of opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    4. Khalil, Nagi & Toral, Raúl, 2019. "The noisy voter model under the influence of contrarians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 81-92.
    5. Fan, Kangqi & Pedrycz, Witold, 2016. "Opinion evolution influenced by informed agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 431-441.
    6. Fan, Kangqi & Pedrycz, Witold, 2015. "Emergence and spread of extremist opinions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 87-97.
    7. Song, Xiao & Zhang, Shaoyun & Qian, Lidong, 2013. "Opinion dynamics in networked command and control organizations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5206-5217.

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