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This paper introduces a new multidimensional extension of the Hegselmann-Krause (HK) opinion dynamics model, where opinion proximity is not determined by a norm or metric. Instead, each agent trusts opinions within the Minkowski sum…

多智能体系统 · 计算机科学 2025-10-09 Iryna Zabarianska , Anton V. Proskurnikov

We study dynamics of opinion formation in a network of coupled agents. As the network evolves to a steady state, opinions of agents within the same community converge faster than those of other agents. This framework allows us to study how…

社会与信息网络 · 计算机科学 2014-07-10 Rumi Ghosh , Kristina Lerman

We investigate the two-word Naming Game on two-dimensional random geometric graphs. Studying this model advances our understanding of the spatial distribution and propagation of opinions in social dynamics. A main feature of this model is…

动力系统 · 数学 2014-07-30 Weituo Zhang , Chjan Lim , G. Korniss , B. K. Szymanski

Far beyond its relevance for commercial and political marketings, opinion formation and decision making processes are central for representative democracy, government functioning, and state organization. In the present report, a stochastic…

物理与社会 · 物理学 2022-10-11 Hugo P. Maia , Silvio C. Ferreira , Marcelo L. Martins

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

Opinions are an integral part of how we perceive the world and each other. They shape collective action, playing a role in democratic processes, the evolution of norms, and cultural change. For decades, researchers in the social and natural…

物理与社会 · 物理学 2022-12-21 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

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 generalize a binary majority-vote model on adaptive networks to a plurality-vote counterpart. When opinions are uniformly distributed in the population of voters in the initial state, it is found that having more available opinions in…

物理与社会 · 物理学 2016-06-24 Degang Wu , Kwok Yip Szeto

We propose a modified Vicsek-like model to study influence dynamics and opinion formation in social networks. We work on the premise that opinions of members of a group may be considered to be analogous to the direction of motion of a…

社会与信息网络 · 计算机科学 2018-09-03 Narayani Vedam , Debasish Ghose

We propose a model of binary opinion in which the opinion of the individuals change according to the state of their neighbouring domains. If the neighbouring domains have opposite opinions, then the opinion of the domain with the larger…

统计力学 · 物理学 2009-08-27 Soham Biswas , Parongama Sen

Changes of mind can become less likely the longer an agent has adopted a given opinion state. This resilience or inertia to change has been called ``aging''. We perform a comparative study of the effects of aging on the critical behavior of…

物理与社会 · 物理学 2024-08-01 Jaume Llabres , Sara Oliver-Bonafoux , Celia Anteneodo , Raul Toral

We expect that democracy enables us to utilize collective intelligence such that our collective decisions build and enhance social welfare, and such that we accept their distributive and normative consequences. Collective decisions are…

物理与社会 · 物理学 2021-04-06 Jan Lorenz , Martin Neumann

We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges, and this is enough to enable a significantly greater range…

最优化与控制 · 数学 2023-11-07 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

In this note we study a new kinetic model of opinion dynamics. The model incorporates two forces -- alignment of opinions under all-to-all communication driving the system to a consensus, and Rayleigh type friction force that drives each…

偏微分方程分析 · 数学 2022-11-18 Vinh Nguyen , Roman Shvydkoy

By considering three different spin models belonging to the generalized voter class for ordering dynamics in two dimensions [I. Dornic, \textit{et al.} Phys. Rev. Lett. \textbf{87}, 045701 (2001)], we show that they behave differently from…

统计力学 · 物理学 2015-06-05 Claudio Castellano , Romualdo Pastor-Satorras

This paper employs the Friedkin-Johnsen (FJ) model to describe the dynamics of opinion evolution within a social network. Under the FJ framework, the society is divided into two subgroups that include stubborn agents and regular agents. The…

系统与控制 · 电气工程与系统科学 2025-09-09 Hossein Rastgoftar

This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable…

偏微分方程分析 · 数学 2020-11-10 Nastassia Duteil , Benedetto Piccoli

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

物理与社会 · 物理学 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

In this paper we examine a variant of the voter model on a dynamically changing network where agents have the option of changing their friends rather than changing their opinions. We analyse, in the context of dense random graphs, two…

概率论 · 数学 2015-01-14 Riddhipratim Basu , Allan Sly

We introduce a statistical physics model for opinion dynamics on random networks where agents adopt the opinion held by the majority of their direct neighbors only if the fraction of these neighbors exceeds a certain threshold, p_u. We find…

物理与社会 · 物理学 2009-11-13 Peter Klimek , Renaud Lambiotte , Stefan Thurner