arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2601.04074physics.soc-phmath.APmath.DS
收藏

多维意见形成

Multi-Dimensional Opinion Formation

University of Hamburg(汉堡大学);Deutsches Elektronen-Synchroton DESY(德国电子同步加速器中心);University of Warwick(华威大学)

Hanna Bartel, Martin Burger, Marie-Therese Wolfram

AI总结:

本文提出一种多维意见动力学模型,通过加权相似性机制描述意见变化,并展示意见结构由个体重要性权重决定。

摘要:

本文提出并研究了一种多维意见动力学模型,其中人们在不同意见上具有不同的重要性权重。意见变化通过二元互动发生,其中一种新机制:一个话题的变化取决于整个意见向量上加权相似性的变化。我们为这一过程建立了动力学方程,并推导出其平均场偏微分方程以描述整体动态。分析计算和数值模拟证实,该模型能生成复杂的稳定状态,我们证明最终的意见结构由人们的意见权重所决定。

英文摘要:

In this paper we propose and investigate a multi-dimensional opinion dynamics model where people are characterised by both opinions and importance weights across these opinions. Opinion changes occur through binary interactions, with a novel coupling mechanism: the change in one topic depends on the weighted similarity across the full opinion vector. We state the kinetic equation for this process and derive its mean-field partial differential equation to describe the overall dynamics. Analytical computations and numerical simulations confirm that this model exhibits a variety of qualitatively distinct stationary states, and we demonstrate that the final opinion structures are critically determined by the people's opinion weights.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑