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Bounded confidence models of opinion dynamics have been actively studied in recent years, in particular, opinion formation and extremism propagation along with other aspects of social dynamics. In this work, after an analysis of limitations…

物理与社会 · 物理学 2015-05-27 Evguenii Kurmyshev , Héctor A. Juárez , Ricardo A. González-Silva

In some social networks, the opinion forming is based on its own and neighbors' (initial) opinions, whereas the evolution of the individual opinions is also influenced by the individual's past opinions in the real world. Unlike existing…

物理与社会 · 物理学 2021-08-10 Qingsong Liu , Li Chai

We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting…

数据分析、统计与概率 · 物理学 2008-04-23 R. Lambiotte , S. Redner

We study the Hegselmann-Krause model of opinion dynamics on sparse, unbiased networks generated via Wilson's algorithm, unveiling how network connectivity and confidence bounds jointly determine collective behavior. By systematically…

物理与社会 · 物理学 2025-07-22 Paolo Molignini

We propose an opinion dynamics model in which agents gradually increase their own self-confidence while interacting with each other. The relations between the newly proposed model and existing works of social learning, inertial opinion…

最优化与控制 · 数学 2016-09-20 Chu Wang

In this paper, we present an empirical study of the opinion dynamics of a large-scale sample of online social network users. We estimate opinions of users as continuous scalars based on their subscriptions to information sources and analyze…

社会与信息网络 · 计算机科学 2022-01-26 Ivan V. Kozitsin

We consider a certain class of nonlinear maps that preserve the probability simplex, i.e., stochastic maps, that are inspired by the DeGroot-Friedkin model of belief/opinion propagation over influence networks. The corresponding dynamical…

系统与控制 · 计算机科学 2018-10-11 Zahra Askarzadeh , Rui Fu , Abhishek Halder , Yongxin Chen , Tryphon T. Georgiou

We hereby propose a model of opinion dynamics where individuals update their beliefs because of interactions in acquaintances' group. The model exhibit a non trivial behavior that we discuss as a function of the main involved parameters.…

物理与社会 · 物理学 2008-08-04 Timoteo Carletti , Simone Righi

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 $\alpha$ controlling the persuasibility…

统计力学 · 物理学 2021-04-07 Nagi Khalil

Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and the formation of different opinion groups in the form of…

物理与社会 · 物理学 2025-08-01 Lasse Mohr , Poul G. Hjorth , Mason A. Porter

We consider two simple asynchronous opinion dynamics on arbitrary graphs where every node $u$ has an initial value $\xi_u(0)$. In the first process, the NodeModel, at each time step $t\ge 0$, a random node $u$ and a random sample of $k$ of…

We present and analyze a model of opinion formation on an arbitrary network whose dynamics comes from a global energy function. We study the global and local minimizers of this energy, which we call stable opinion configurations, and…

动力系统 · 数学 2018-05-23 Jared C. Bronski , Lee DeVille , Tim Ferguson , Michael Livesay

This paper proposes a network model of opinion dynamics based on both the social network structure and network centralities. The conceptual novelty in this model is that the opinion of each individual is weighted by the associated network…

社会与信息网络 · 计算机科学 2022-02-08 Shuang Gao

We investigate the non-equilibrium dynamics of a three state kinetic exchange model of opinion formation, where switches between extreme states are possible, depending on the value of a parameter $q$. The mean field dynamical equations are…

统计力学 · 物理学 2023-02-28 Kathakali Biswas , Parongama Sen

Opinion dynamics on social networks have been received considerable attentions in recent years. Nevertheless, just a few works have theoretically analyzed the condition in which a certain opinion can spread in the whole structured…

计算机科学与博弈论 · 计算机科学 2022-08-31 Zhifang Li , Xiaojie Chen , Han-Xin Yang , Attila Szolnoki

We introduce and analyse a three-body consensus model (3CM) for non-linear consensus dynamics on hypergraphs. Our model incorporates reinforcing group effects, which can cause shifts in the average state of the system even in if the…

物理与社会 · 物理学 2021-12-22 Leonie Neuhäuser , Michael T. Schaub , Andrew Mellor , Renaud Lambiotte

We introduce a model of opinion dynamics based on networked non-linear differential equations. The model combines a linear attraction with a repulsive hyperbolic tangent interaction, labeled controversialness. For low controversialness the…

物理与社会 · 物理学 2025-12-08 Jake Boyce , Matteo Farina , Jody McKerral , Sergiy Shelyag , Mathew Zuparic

In traditional voter models, opinion dynamics are driven by interactions between individuals, where an individual adopts the opinion of a randomly chosen neighbor. However, these models often fail to capture the emergence of entirely new…

物理与社会 · 物理学 2025-10-27 Jeehye Choi , Byungjoon Min , Tobias Galla

We use Gaussian mixtures to model formation and evolution of multi-modal beliefs and opinion uncertainty across social networks. In this model, opinions evolve by Bayesian belief update when incorporating exogenous factors (signals from…

系统与控制 · 电气工程与系统科学 2025-09-03 Yijun Chen , Farhad Farokhi , Yutong Bu , Nicholas Kah Yean Low , Jarra Horstman , Julian Greentree , Robin Evans , Andrew Melatos

In this era of fast and large-scale opinion formation, a mathematical understanding of opinion evolution, a.k.a. opinion dynamics, is especially important. Linear graph-based dynamics and bounded confidence dynamics are the two most popular…

社会与信息网络 · 计算机科学 2021-12-09 Sushmitha Shree S , Kishore G , Avhishek Chatterjee , Krishna Jagannathan
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