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相关论文: Consensus for the Hegselmann-Krause model with tim…

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We study a nonlinear bounded-confidence model (BCM) of continuous-time opinion dynamics on networks with both persuadable individuals and zealots. The model is parameterized by a scalar $\gamma$, which controls the steepness of a smooth…

动力系统 · 数学 2023-08-01 Heather Z. Brooks , Philip S. Chodrow , Mason A. Porter

Information-communication technology promotes collaborative environments like Wikipedia where, however, controversiality and conflicts can appear. To describe the rise, persistence, and resolution of such conflicts we devise an extended…

物理与社会 · 物理学 2023-01-05 János Török , Gerardo Iñiguez , Taha Yasseri , Maxi San Miguel , Kimmo Kaski , János Kertész

This work is concerned with stochastic consensus conditions of multi-agent systems with both time-delays and measurement noises. For the case of additive noises, we develop some necessary conditions and sufficient conditions for stochastic…

系统与控制 · 计算机科学 2018-04-20 Xiaofeng Zong , Tao Li , Ji-Feng Zhang

We introduce a modified Consensus-Based Optimization model that admits a fully unified and rigorous analysis of its finite-particle dynamics, the associated McKean--Vlasov equation, and their optimization behavior under a single set of…

概率论 · 数学 2025-11-25 Young-Pil Choi , Seungchan Lee , Sihyun Song

As an important factor governing opinion dynamics, stubbornness strongly affects various aspects of opinion formation. However, a systematically theoretical study about the influences of heterogeneous stubbornness on opinion dynamics is…

社会与信息网络 · 计算机科学 2022-08-09 Wanyue Xu , Liwang Zhu , Jiale Guan , Zuobai Zhang , Zhongzhi Zhang

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

We reformulate the agent-based opinion dynamics models of Weisbuch-Deffuant and Hegselmann-Krause as interactive Markov chains. So we switch the scope from a finite number of n agents to a finite number of n opinion classes. Thus, we will…

物理与社会 · 物理学 2007-08-27 Jan Lorenz

This paper investigates the effect of constant time delay in weakly connected multi-agent systems modeled by double integrator dynamics. A novel analytical approach is proposed to establish an upper bound on the permissible time delay that…

系统与控制 · 电气工程与系统科学 2025-05-20 Layan Badran , Kiarash Aryankia , Rastko R. Selmic

A general model of opinion dynamics is introduced in which each individual's opinion is measured on a bounded continuous spectrum. Each opinion is influenced heterogeneously by every other opinion in the population. It is demonstrated that…

物理与社会 · 物理学 2021-10-22 Joseph William Baron

We study the classical Cucker-Smale model in continuous time with a positive time delay $\tau$. As in the non-delayed case, unconditional flocking occurs when $\beta \leq 1/2$ for every $\tau>0$. Furthermore, we prove the exponential decay…

偏微分方程分析 · 数学 2020-08-24 Mauro Rodriguez Cartabia

We investigate consensus dynamics on temporal hypergraphs that encode network systems with time-dependent, multi-way interactions. We compare this dynamics with that on appropriate projections of this higher-order network representation…

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

The empirical validation of models remains one of the most important challenges in opinion dynamics. In this contribution, we report on recent developments on combining data from survey experiments with computational models of opinion…

物理与社会 · 物理学 2023-07-24 Sven Banisch , Hawal Shamon

Opinion dynamics aims to understand how individuals' opinions evolve through local interactions. Recently, opinion dynamics have been modeled as network games, where individuals update their opinions in order to minimize the social pressure…

动力系统 · 数学 2025-04-07 Yuchen Xu , Yi Han , Chuanzhe Zhang , Miao Wang , Wenjun Mei

In this work, we focus on strategies to influence the opinion dynamics of a well-connected society. We propose a generalization of the popular voter model. This variant of the voter model can capture a wide range of individuals including…

社会与信息网络 · 计算机科学 2020-02-17 Arunabh Saxena , Bhumesh Kumar , Anmol Gupta , Neeraja Sahasrabudhe , Sharayu Moharir

We consider a general class of three--state models where individuals hold one of two opposite opinions, or are neutral, and exchange opinions in generic pairwise interactions. We show that when opinions spread in a population where a…

物理与社会 · 物理学 2016-03-09 Francesca Colaiori , Claudio Castellano

We investigate majority rule dynamics in a population with two classes of people, each with two opinion states $\pm 1$, and with tunable interactions between people in different classes. In an update, a randomly selected group adopts the…

统计力学 · 物理学 2021-06-23 P. L. Krapivsky , S. Redner

The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions…

概率论 · 数学 2011-04-19 Javier Gómez-Serrano , Carl Graham , Jean-Yves Le Boudec

Collective decision-making is a process by which a group of individuals determines a shared outcome that shapes societal dynamics; from innovation diffusion to organizational choices. A common approach to model these processes is using…

物理与社会 · 物理学 2025-04-03 Maciej Doniec , Pratik Mullick , Parongama Sen , Katarzyna Sznajd-Weron

We explore the possibilities of enforcing and preventing consensus in continuous opinion dynamics that result from modifications in the communication rules. We refer to the model of Weisbuch and Deffuant, where $n$ agents adjust their…

物理与社会 · 物理学 2011-01-18 Jan Lorenz , Diemo Urbig

Providing opinions through labeling of images, tweets, etc. have drawn immense interest in crowdsourcing markets. This invokes a major challenge of aggregating multiple opinions received from different crowd workers for deriving the final…

人机交互 · 计算机科学 2016-09-16 Sujoy Chatterjee , Anirban Mukhopadhyay , Malay Bhattacharyya