The Role of Noise and Initial Conditions in the Asymptotic Solution of a Bounded Confidence, Continuous-Opinion Model
The Role of Noise and Initial Conditions in the Asymptotic Solution of a Bounded Confidence, Continuous-Opinion Model
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DOI：
10.1007/s10955-012-0635-2
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发表时间：
2013-04-01
影响因子：
1.6
通讯作者：
San Miguel, Maxi
中科院分区：
文献类型：
--
作者：
Carro, Adrian;Toral, Raul;San Miguel, Maxi
研究了有界置信下的连续意见动力学模型。特别是，我们分析了意见的初始分布在确定渐近配置的重要性。因此，我们通过对动力系统中主体密度随时间演化的数值计算，勾画出了动力系统吸引子的结构。我们表明，对于一个给定的约束的信心，共识可以鼓励或阻止某些初始条件。此外，一个嘈杂的扰动被添加到系统的目的是建模的自由意志的代理。因此，初始条件的重要性部分地被噪声的统计分布的重要性所取代。然而，我们仍然发现证据的初始状态的影响后，最终的配置的置信参数的范围很短。
We study a model for continuous-opinion dynamics under bounded confidence. In particular, we analyze the importance of the initial distribution of opinions in determining the asymptotic configuration. Thus, we sketch the structure of attractors of the dynamical system, by means of the numerical computation of the time evolution of the agents density. We show that, for a given bound of confidence, a consensus can be encouraged or prevented by certain initial conditions. Furthermore, a noisy perturbation is added to the system with the purpose of modeling the free will of the agents. As a consequence, the importance of the initial condition is partially replaced by that of the statistical distribution of the noise. Nevertheless, we still find evidence of the influence of the initial state upon the final configuration for a short range of the bound of confidence parameter.