Wołoszyn Maciej, Masłyk Tomasz, Pająk Szymon, Malarz Krzysztof
Faculty of Physics and Applied Computer Science, AGH University, al. Mickiewicza 30, 30-059 Kraków, Poland.
Faculty of Humanities, AGH University, al. Mickiewicza 30, 30-059 Kraków, Poland.
Chaos. 2024 Jun 1;34(6). doi: 10.1063/5.0208843.
Possibility of reaching a consensus in social systems with strong initial fragmentation is one of the most interesting issues in sociophysics. It is also intriguing what the dynamics of such processes is. To address those problems, we performed computer simulations using well-established models of social opinion formation, namely, the voter, Sznajd, and Latané models. We investigated opinion dynamics in cases where the initial number of opinions is very large, equal to the number of actors (the voter and Latané models) or when every second actor has their own opinion (Sznajd model), with some variations on the update schemes, lattice topologies, effective ranges of interaction, and information noise levels. For all considered models, the number of opinions assumed by the actors is finally almost always reduced to only one. However, while the voter and Latané models exhibit a power-law time decrease in the number of opinions, the Sznajd model follows a complex three-stage behavior. We also demonstrated the mean/median time of reaching the consensus scales with system size according to a power law for voter and Sznajd models, while for the Latané model, this increase is even faster. Our results show that in the studied models, the consensus is possible, provided that a long enough and model-dependent time to reach this state is available.
在初始碎片化程度较高的社会系统中达成共识的可能性是社会物理学中最有趣的问题之一。此类过程的动态变化同样引人入胜。为了解决这些问题，我们使用了成熟的社会舆论形成模型，即选民模型、斯纳伊德模型和拉坦内模型进行计算机模拟。我们研究了初始意见数量非常大的情况，在选民模型和拉坦内模型中意见数量等于参与者数量，或者在斯纳伊德模型中每隔一个参与者就有自己的意见，并对更新方案、晶格拓扑结构、有效相互作用范围和信息噪声水平进行了一些变化。对于所有考虑的模型，参与者所拥有的意见数量最终几乎总是减少到只有一个。然而，选民模型和拉坦内模型的意见数量呈现幂律时间下降，而斯纳伊德模型则呈现复杂的三阶段行为。我们还证明了选民模型和斯纳伊德模型达成共识的平均/中位数时间根据幂律随系统规模变化，而对于拉坦内模型，这种增长甚至更快。我们的结果表明，在所研究的模型中，只要有足够长且依赖于模型的时间来达到这种状态，达成共识就是可能的。
