Travieso Gonzalo, da Fontoura Costa Luciano
Instituto de Física de São Carlos, Universidade de São Paulo, Av. do Trabalhador São-Carlense, 400, 13566-590 São Carlos, SP, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Sep;74(3 Pt 2):036112. doi: 10.1103/PhysRevE.74.036112. Epub 2006 Sep 22.
Election results are determined by numerous social factors that affect the formation of opinion of the voters, including the network of interactions between them and the dynamics of opinion influence. In this work we study the result of proportional elections using an opinion dynamics model similar to simple opinion spreading over a complex network. Erdös-Rényi, Barabási-Albert, regular lattices, and randomly augmented lattices are considered as models of the underlying social networks. The model reproduces the power law behavior of a number of candidates with a given number of votes found in real elections with the correct slope, a cutoff for a larger number of votes, and a plateau for a small number of votes. It is found that the small world property of the underlying network is fundamental for the emergence of the power law regime.
选举结果由众多影响选民意见形成的社会因素决定，包括他们之间的互动网络以及意见影响的动态变化。在这项工作中，我们使用一个类似于在复杂网络上简单意见传播的意见动态模型来研究比例选举的结果。将厄多斯 - 雷尼模型、巴拉巴西 - 阿尔伯特模型、规则晶格和随机增强晶格视为潜在社会网络的模型。该模型再现了在实际选举中发现的具有给定票数的若干候选人的幂律行为，具有正确的斜率、较大票数的截止值以及少量票数的平稳段。研究发现，潜在网络的小世界特性对于幂律 regime 的出现至关重要。
