在Deffuant模型中集中意见：第一印象很重要

Analysis of mean-field approximation for Deffuant opinion dynamics on networks

Mean-field equations have been developed recently to approximate the dynamics of the Deffuant model of opinion formation. These equations can describe both fully-mixed populations and the case where individuals interact only along edges of a network. In each case, interactions only occur between individuals whose opinions differ by less than a given parameter, called the confidence bound. The size of the confidence bound parameter is known to strongly affect both the dynamics and the number and location of opinion clusters. In this work we carry out a mathematical analysis of the mean-field eq…

连续观点动力学：通过交互式马尔可夫链的见解

Continuous Opinion Dynamics: Insights through Interactive Markov Chains

我们将Weisbuch-Deffuant和Hegselmann-Krause的基于主体的观点动力学模型重新表述为交互式马尔可夫链。因此，我们将范围从有限数量的n个代理切换到有限数量的n个意见类。因此，我们将研究分布到意见类的无限人口，而不是具有实数意见的代理人。交互式马尔可夫链表现出类似的动力学行为的代理为基础的模型：稳定和聚类。我们的框架导致每个模型的离散分岔图，它给出了一个很好的视图的驱动力和吸引力的系统状态。分析表明，在Weisbuch-Deffuant模型中出现的小团簇和在Hegselmann Krause模型中出现的收敛速度非常慢的亚稳态是动力学行为所固有的.

群体水平与总体水平不同时的Deffuant模型自适应网络

When group level is different from the population level: an adaptive network with the Deffuant model

我们提出了一个模型耦合经典观点动力学的有界信心模型，提出了由Deffuant等人，其中自适应网络形成社区或群组结构。在每一步，一个人可以决定是否改变群体或与其内部或外部邻居的意见进行互动。如果它决定查看组级别，如果它的意见与其组的平均值相差很远，超过阈值，它就会改变组。如果是这样的话，它加入了一个群体，这个群体有比例上最接近的平均意见。如果它决定与它的邻居之一交互，当它的意见和被选择交互的邻居的意见离阈值较近时，它在意见上变得更接近它。通过对这个耦合模型的研究，我们发现了一些与已知的Deffuant有界置信模型（BC）相比令人惊讶的行为：对于低于BC模型的阈值，耦合模型表现出完全一致性;从群体的角度来看，共识仍然是一个大的阈值集，而从人口层面来看，有很多意见集群。

观点动力学中的沟通机制：改变沟通主体的数量

Communication regimes in opinion dynamics: Changing the number of communicating agents

本文从四个方面研究了具有妥协主体的离散连续观点动力学。首先，沟通机制作为一个基本概念的意见动态模型。其次，我们开发了一个模型，包括两个主要的连续观点动力学模型，即基本模型的Deffuant和Weisbuch以及模型的Krause和Hegselmann。为了结合这些模型，处理不同数量的通信代理，我们将收敛参数的Deffuant和Weisbuch到一个参数称为自我支持。第三，我们提出的模拟结果，阐明了通信代理的数量，但也如何自我支持的影响观点动力学。第四个贡献是一个理论驱动的标准时停止模拟，以及如何外推到无限多的步骤。

The sensitivity of the Deffuant model to measurement error

Opinion dynamics models have an enormous potential for studying current phenomena such as vaccine hesitancy. Unfortunately, to date, most of the models have little to no empirical validation. One major problem in testing these models against real-world data relates to the difficulties in measuring opinions in ways that map directly to representations in models. Indeed, this kind of measurement is complex in nature and presents more types of measurement error than just classical random noise. Thus, it is crucial to know how these different error types may affect the model's predictions. In this…

观点动力学模型中的真理寻求者

Truth seekers in opinion dynamics models

我们修改了Deffuant等人的模型，以Hegselmann和Krause <http://jasss.soc.surrey.ac.uk/9/3/10.html>的方式区分真实意见。这两个模型的基本特征修改为真理的追求者是定性相同的。

快速但多派系：通信突发性增加时间Deffuant模型中的意见多样性

Fast but multi-partisan: Bursts of communication increase opinion diversity in the temporal Deffuant model

本文提出时间Deffuant模型，发现互动突发性可促进局部意见强化，避免共识与极化，形成多派系社会，并指出增加在线社会冗余有助于减少极化。

II：社会物理学模拟

Sociophysics Simulations II: Opinion Dynamics

每个人都有自己的观点，但可以在他人的影响下改变。最近的模型Sznajd（传教士），Deffuant等。（谈判），克劳斯和Hegselmann（机会）在这里进行了审查，而选民和伊辛模型，加拉姆的多数规则和阿克塞尔罗德多元文化模型处理的其他讲师在这个第8届格拉纳达研讨会。

有界置信下连续观点动力学模型的不动点

Fixed points in models of continuous opinion dynamics under bounded confidence

我们提出了两个模型的连续观点动力学在有界的信心，可表示为非负离散动力系统，即Hegselmann-Krause模型（Hegselmann和Krause，人工社会和社会模拟杂志5（3），2002）和Deffuant-Weisbuch模型（Deffuant等，在复杂系统的进展，3，2000）。我们充分刻画了这两个模型的不动点集。它们是一样的。此外，我们提出了更一般的水平上的代理商在意见空间的互动马尔可夫链的密度的两种模型的重新制定。我们还刻画了两个模型中的不动点集是相同的。

小世界有向网络中的连续意见模型

Continuous opinion model in small world directed networks

在Deffuant等人提出的连续意见妥协模型中，如果网络中两个智能体是邻居并且他们的意见足够接近，低于给定的容忍阈值$ε$，则它们的状态可以开始收敛。在有向网络中，如果代理i是代理j的邻居，则j不必是i的邻居。在Watts-Strogatz网络中，我们进行了模拟，以找到最终意见的平均数量$<F>$及其分布作为$ε$和网络结构紊乱的函数。在有向网络中，$<F>$表现出丰富的结构，对于较高的$ε$值，$<F>$大于无向网络，而对于较低的$ε$值，$<F>$小于无向网络。

Opinion formation and distribution in a bounded confidence model on various networks

In the social, behavioral, and economic sciences, it is an important problem to predict which individual opinions will eventually dominate in a large population, if there will be a consensus, and how long it takes a consensus to form. This idea has been studied heavily both in physics and in other disciplines, and the answer depends strongly on both the model for opinions and for the network structure on which the opinions evolve. One model that was created to study consensus formation quantitatively is the Deffuant model, in which the opinion distribution of a population evolves via sequentia…

Approach to consensus in models of continuous-opinion dynamics: a study inspired by the physics of granular gases

A model for continuous-opinion dynamics is proposed and studied by taking advantage of its similarities with a mono-dimensional granular gas. Agents interact as in the Deffuant model, with a parameter $α$ controlling the persuasibility of the individuals. The interaction coincides with the collision rule of two grains moving on a line, provided opinions and velocities are identified, with $α$ being the so-called coefficient of normal restitution. Starting from the master equation of the probability density of all opinions, general conditions are given for the system to reach consensus. The cas…

Consensus Emerging from the Bottom-up: the Role of Cognitive Variables in Opinion Dynamics

The study of opinions $-$ e.g., their formation and change, and their effects on our society $-$ by means of theoretical and numerical models has been one of the main goals of sociophysics until now, but it is one of the defining topics addressed by social psychology and complexity science. Despite the flourishing of different models and theories, several key questions still remain unanswered. The aim of this paper is to provide a cognitively grounded computational model of opinions in which they are described as mental representations and defined in terms of distinctive mental features. We al…