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We define an opinion formation model of agents in a 1d ring, where the opinion of an agent evolves due to its interactions with close neighbors and due to its either positive or negative attitude toward the overall mood of all the other…

物理与社会 · 物理学 2012-05-22 Gerardo Iñiguez , János Kertész , Kimmo K. Kaski , R. A. Barrio

Motivated by empirical research on bias and opinion formation, we formulate a multidimensional nonlinear opinion-dynamical model where agents have individual biases, which are fixed, as well as opinions, which evolve. The dimensions…

系统与控制 · 电气工程与系统科学 2024-05-14 Luka Baković , David Ohlin , Giacomo Como , Emma Tegling

We examine how the randomness of behavior and the flow of information between agents affect the formation of opinions. Our main research involves the process of opinion evolution, opinion clusters formation and studying the probability of…

理论经济学 · 经济学 2021-01-11 Agnieszka Kowalska-Styczeń , Krzysztof Malarz

We introduce new kinetic equations modeling opinion dynamics inside a population of individuals, whose propensity to interact with each other is described by their level of social activity. We show that opinion polarization can arise among…

偏微分方程分析 · 数学 2025-11-27 Andrea Bondesan , Jacopo Borsotti

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

In finite-size population models, one can derive Fokker-Planck equations to describe the fluctuations of the species numbers about the deterministic behaviour. In the steady state of populations comprising two or more species, it is…

统计力学 · 物理学 2015-05-26 D I Russell , R A Blythe

Most previous works on opinion modeling lack the simultaneous study of individual mental activity and group behavior. This paper is motivated to propose an agent-based online opinion formation model based on attitude change theory, group…

社会与信息网络 · 计算机科学 2019-09-04 Xicheng Yin , Hongwei Wang , Pei Yin , Hengmin Zhu

We investigate the opinion formation with upper and lower bounds. We formulate the binary exchange of opinions between two individuals, and effects of the self-thinking and political party using the relativistic Boltzmann-Vlasov type…

应用统计 · 统计学 2016-01-20 Ryosuke Yano , Arnaud Martin

We study the Deffuant et al. model for continuous--opinion dynamics under the influence of noise. In the original version of this model, individuals meet in random pairwise encounters after which they compromise or not depending of a…

物理与社会 · 物理学 2009-08-24 Miguel Pineda , Raul Toral , Emilio Hernandez-Garcia

We study pattern formation in the bounded confidence model of opinion dynamics. In this random process, opinion is quantified by a single variable. Two agents may interact and reach a fair compromise, but only if their difference of opinion…

斑图形成与孤子 · 物理学 2015-11-06 E. Ben-Naim , A. Scheel

The dynamics of opinion is a complex and interesting process, especially for the systems with large number individuals. It is usually hard to describe the evolutionary features of these systems. In this paper, we study the self excitation…

概率论 · 数学 2018-09-28 Lifu Wang , Bo Shen

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

Stochastic fluctuations are central to the understanding of extinction dynamics. In the context of population models they allow for the description of the transition from the vicinity of a non-trivial fixed point of the deterministic…

统计力学 · 物理学 2015-08-04 Claudia Cianci , Duccio Fanelli , Alan J. McKane

Statistical physicists have become interested in models of collective social behavior such as opinion formation, where individuals change their inherently preferred opinion if their friends disagree. Real preferences often depend on…

统计力学 · 物理学 2015-01-27 Michael T. Gastner , Nikolitsa Markou , Gunnar Pruessner , Moez Draief

A physical description of an opinion evolution is conducted based on the Hamilton-Jacobi equation derived from a generalized potential and the corresponding Langevin equation. The investigation mainly focuses on the heterogeneities such as…

物理与社会 · 物理学 2016-04-12 Chen-Jie Feng , Peng Wang , Jie Huo , Rui Hao , Xu-Ming Wang

We extend simple opinion models to obtain stable but continuously evolving communities. Our scope is to meet a challenge raised by sociologists of generating "structures that last from non lasting entities". We achieve this by introducing…

物理与社会 · 物理学 2015-06-05 Sébastian Grauwin , Pablo Jensen

Coevolving and competing species or game-theoretic strategies exhibit rich and complex dynamics for which a general theoretical framework based on finite populations is still lacking. Recently, an explicit mean-field description in the form…

统计力学 · 物理学 2007-05-23 Arne Traulsen , Jens Christian Claussen , Christoph Hauert

Under certain circumstances such as lack of information or bounded rationality, human players can take decisions on which strategy to choose in a game on the basis of simple opinions. These opinions can be modified after each round by…

物理与社会 · 物理学 2015-06-05 Floriana Gargiulo , Jose J. Ramasco

We study a stochastic model for the coevolution of a process of opinion formation in a population of agents and the network which underlies their interaction. Interaction links can break when agents fail to reach an opinion agreement. The…

统计力学 · 物理学 2009-11-11 Santiago Gil , Damian H. Zanette

Analytical approaches in models of opinion formation have been extensively studied either for an opinion represented as a discrete or a continuous variable. In this paper, we analyze a model which combines both approaches. The state of an…

物理与社会 · 物理学 2023-02-01 Lucía Pedraza , Juan Pablo Pinasco , Viktoriya Semeshenko , Pablo Balenzuela