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We consider a type of pull voting suitable for discrete numeric opinions which can be compared on a linear scale, for example, 1 ('disagree strongly'), 2 ('disagree'), $\ldots,$ 5 ('agree strongly'). On observing the opinion of a random…

概率论 · 数学 2023-05-26 Colin Cooper , Tomasz Radzik , Takeharu Shiraga

Irreversible opinion spreading phenomena are studied on small-world networks generated from 2D regular lattices by means of the magnetic Eden model, a nonequilibrium kinetic model for the growth of binary mixtures in contact with a thermal…

物理与社会 · 物理学 2009-11-13 Julián Candia

We consider the two-opinion voter model on a regular random graph with n vertices and degree $d \geq 3$. It is known that consensus is reached on time scale n and that on this time scale the volume of the set of vertices with one opinion…

This paper is concerned with the probability of consensus in a multivariate, spatially explicit version of the Hegselmann-Krause model for the dynamics of opinions. Individuals are located on the vertices of a finite connected graph…

概率论 · 数学 2022-04-27 Nicolas Lanchier , Hsin-Lun Li

We investigate the critical properties of kinetic continuous opinion dynamics using deep learning techniques. The system consists of $N$ continuous spin variables in the interval $[-1,1]$. Dense neural networks are trained on spin…

In most sociophysical simulations on public opinion, only two opinions are allowed: Pro and Contra. However, in all political elections many people do not vote. Here we analyse two models of dynamics of public opinion, taking into account…

物理与社会 · 物理学 2010-05-05 Krzysztof Malarz , Krzysztof Kulakowski

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

The problem of analyzing the performance of networked agents exchanging evidence in a dynamic network has recently grown in importance. This problem has relevance in signal and data fusion network applications and in studying opinion and…

社会与信息网络 · 计算机科学 2016-05-26 Ranga Dabarera , Kamal Premaratne , Manohar N. Murthi , Dilip Sarkar

The Sznajd model of socio-physics, that only a group of people sharing the same opinion can convince their neighbors, is applied to a scale-free random network modeled by a deterministic graph. We also study a model for elections based on…

统计力学 · 物理学 2009-11-10 M. C. Gonzalez , A. O. Sousa , H. J. Herrmann

In a 2006 paper, Jan Lorenz observed a curious behaviour in numerical simulations of the Hegselmann-Krause model: Under some circumstances, making agents more closed-minded can produce a consensus from a dense configuration of opinions…

动力系统 · 数学 2021-07-28 Edvin Wedin

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…

物理与社会 · 物理学 2015-09-03 Francesca Giardini , Daniele Vilone , Rosaria Conte

A Consensus Model according to Deffuant on a directed Barabasi-Albert network was simulated. Agents have opinions on different subjects. A multi-component subject vector was used. The opinions are discrete. The analysis regards distribution…

无序系统与神经网络 · 物理学 2009-11-10 Dirk Jacobmeier

Monte Carlo simulations of the Sznajd model with bounded confidence for varying dimensions show that the probability to reach a consensus in d-dimensional lattices depends only weakly on d. but strongly on the number Q of possible opinions:…

统计力学 · 物理学 2007-05-23 Dietrich Stauffer

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…

物理与社会 · 物理学 2018-02-28 X. Flora Meng , Robert A. Van Gorder , Mason A. Porter

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

We investigate the dynamical behaviour of the Ising model under a zero temperature quench with the initial fraction of up spins $0\leq x\leq 1$. In one dimension, the known results for persistence probability are verified; it shows…

统计力学 · 物理学 2016-11-11 Pratik Mullick , Parongama Sen

We consider a periodic Ising chain with nearest-neighbour and $r$-th neighbour interaction and quench it from infinite temperature to zero temperature. The persistence probability $P(t)$, measured as the probability that a spin remains…

统计力学 · 物理学 2008-03-14 Anjan Kumar Chandra , Subinay Dasgupta

In this work we study a modified version of the Sznajd sociophysics model. In particular we introduce reputation, a mechanism that limits the capacity of persuasion of the agents. The reputation is introduced as a score which is…

物理与社会 · 物理学 2010-07-23 Nuno Crokidakis , Fabricio L. Forgerini

The Sznajd model in less than a year has found several followers. An isolated person does not convince others; a group of people sharing the same opinions influences the neighbours much more easily. Thus on a square lattice, with variables…

统计力学 · 物理学 2007-05-23 Dietrich Stauffer

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