Costa Filho R N, Almeida M P, Andrade J S, Moreira J E
Departamento de Física, Universidade Federal do Ceará, Campus do Pici, Centro de Ciências Exatas, Caixa Postal 6030, 60455-760 Fortaleza, Ceará, Brazil.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jul;60(1):1067-8. doi: 10.1103/physreve.60.1067.
We perform a statistical analysis on the proportional elections held in Brazil in October 1998. We show that the distribution of votes among candidates for the whole country follows a power law N(v) is proportional to v(-alpha), with alpha=1.00+/-0.02, extending over two orders of magnitude. The voting distributions for several states of the federation also display scale-invariant behavior with alpha approximately equal to 1. We argue that this particular voting system can be modeled as a typical multiplicative process in which the choice of the candidate is governed by a product of probabilities.
我们对1998年10月在巴西举行的比例选举进行了统计分析。我们表明，全国候选人之间的选票分布遵循幂律N(v) 与v^(-α) 成正比，其中α = 1.00 ± 0.02，范围跨越两个数量级。联邦几个州的投票分布也表现出尺度不变行为，α 约等于1。我们认为，这种特殊的投票系统可以建模为一个典型的乘法过程，其中候选人的选择由概率的乘积决定。
