论文标题
意见动态和统一原则:全球统一框架
Opinion Dynamics and Unifying Principles: A Global Unifying Frame
论文作者
论文摘要
我审查并扩展了一组统一原则,这些原则允许在一个框架内比较所有意见动态模型。在全球统一框架(GUF)中,选择用于研究个人选择的意见动态的任何特定更新规则都是将概率更新公式重塑为概率。相关的动力学是使用一般概率的顺序过程来部署的,该过程通过在局部更新的连续回合之间反复重新安装代理进行迭代。相关的驾驶吸引子和临界点是通过具有阈值和无阈值动力学的非保守式制度获得的。大多数固定状态是对称性的,但也可能发生五十个共存。当仅使用三种代理用于本地更新时,为几种版本的Galam和SznaJD模型展示了一个实际程序。比较这些不同的模型,发现有些模型在GUF中是相同的。讨论了与数值模拟的可能差异,以及GUF程序和平均场方法之间的差异。
I review and extend the set of unifying principles, which allow comparing all models of opinion dynamics within one single frame. Within the Global Unifying Frame (GUF), any specific update rule chosen to study opinion dynamics for discrete individual choices is recast into a probabilistic update formula. The associated dynamics is deployed using a general probabilistic sequential process, which is iterated via the repeated reshuffling of agents between successive rounds of local updates. The related driving attractors and tipping points are obtained with non-conservative regimes featuring both threshold and threshold-less dynamics. Most stationary states are symmetry broken, but fifty-fifty coexistence may also occur. A practical procedure is exhibited for several versions of Galam and Sznajd models when restricted to the use of three agents for the local updates. Comparing these various models, some are found to be identical within the GUF. Possible discrepancies with numerical simulations are discussed together with the difference between the GUF procedure and a mean field approach.