Abstract
Real-space renormalization group ideas are used to study a voting problem in political science. A model to construct self-directed pyramidal structures from bottom up to the top is presented. Using majority rules, it is shown that a minority and even a majority can be systematically self-eliminated from top leadership, provided the hierarchy has a minimal number of levels. In some cases, 70% of the population is found to have zero representation after six hierarchical levels. Results are discussed with respect to the internal operation of political organizations.
References
W. Weidlich,Br. J. Math. Stat. Psychol. 24:251 (1971).
E. Callen and D. Shapero,Phys. Today 23 (July 1974).
J. Gersten and R. W. Bologh, Preprint.
S. Galam, Y. Gefen, and Y. Shapir,J. Math. Sociol. 9:1 (1982).
S. Galam and S. Moscovici,Eur. J. Soc. Psychol., in press.
S. Galam,J. Math. Psychol. 30:426 (1986).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Galam, S. Social paradoxes of majority rule voting and renormalization group. J Stat Phys 61, 943–951 (1990). https://doi.org/10.1007/BF01027314
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01027314