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Scaling behavior in a proportional voting process.

R N Costa Filho1, M P Almeida, J S Andrade

  • 1Departamento de Física, Universidade Federal do Ceará, Campus do Pici, Centro de Ciências Exatas, Caixa Postal 6030, 60455-760 Fortaleza, Ceará, Brazil.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Statistical analysis of Brazil

Area of Science:

  • Statistical physics
  • Political science

Background:

  • Electoral systems can exhibit complex statistical properties.
  • Understanding vote distribution is key to analyzing election dynamics.

Purpose of the Study:

  • To statistically analyze vote distribution in Brazil's 1998 proportional elections.
  • To investigate the underlying mathematical model of the voting system.

Main Methods:

  • Statistical analysis of election data.
  • Power law distribution fitting.
  • Scale-invariant behavior analysis.

Main Results:

  • Vote distribution across candidates follows a power law N(v) ~ v^(-alpha) with alpha ≈ 1.
  • Scale-invariant voting patterns observed nationwide and in several states.

Related Experiment Videos

  • The observed distribution extends over two orders of magnitude.

    • Conclusions:

    • The Brazilian proportional election system exhibits scale-invariant properties.
    • The voting system can be modeled as a multiplicative process governed by probabilities.