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Hegselmann--Krause models are localized, distributed averaging dynamics on spatial data. A key aspect of these dynamics is that they lead to cluster formation, which has important applications in geographic information systems, dynamic…

Physics and Society · Physics 2025-08-14 Partha S. Dey , S. Rasoul Etesami , Aditya S. Gopalan

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…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , János Kertész , Kimmo K. Kaski , R. A. Barrio

We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential equations of kinetic type, we focus our…

Physics and Society · Physics 2016-07-21 Giacomo Albi , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

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…

Social and Information Networks · Computer Science 2014-07-10 Rumi Ghosh , Kristina Lerman

A hybrid model for opinion dynamics in complex multi-agent networks is introduced, wherein some continuous-valued agents average neighbors' opinions to update their own, while other discrete-valued agents use stochastic copying and voting…

Systems and Control · Computer Science 2019-04-01 Mengran Xue , Sandip Roy

People's opinions change with time as they interact with each other. In a bounded-confidence model (BCM) of opinion dynamics, individuals (which are represented by the nodes of a network) have continuous-valued opinions and are influenced…

Social and Information Networks · Computer Science 2024-07-30 Grace J. Li , Jiajie Luo , Mason A. Porter

Many empirical networks are intrinsically pluralistic, with interactions occurring within groups of arbitrary agents. Then the agent in the network can be influenced by types of neighbors, common examples include similarity, opposition, and…

Physics and Society · Physics 2020-05-12 Shuo Liu , Xiwang Guan , Shuangling Luo , Haoxiang Xia

In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

Analysis of PDEs · Mathematics 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

In this paper, we analyze a Hegselmann-Krause opinion formation model with attractive-lacking interaction. More precisely, we investigate the situation in which the individuals involved in an opinion formation process interact among…

Optimization and Control · Mathematics 2024-07-08 Elisa Continelli , Cristina Pignotti

Agents in social networks with threshold-based dynamics change opinions when influenced by sufficiently many peers. Existing literature typically assumes that the network structure and dynamics are fully known, which is often unrealistic.…

Social and Information Networks · Computer Science 2026-05-15 Dmitry Chistikov , Luisa Estrada , Mike Paterson , Paolo Turrini

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

In the Hegselmann-Krause model, an agent updates its opinion by averaging with others whose opinions differ by at most a given confidence threshold. With agents' initial opinions uniformly distributed on the unit interval, we provide a…

Probability · Mathematics 2024-08-08 Hsin-Lun Li

We investigate opinion dynamics in a fully-connected system, consisting of $n$ identical and anonymous agents, where one of the opinions (which is called correct) represents a piece of information to disseminate. In more detail, one source…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-20 Luca Becchetti , Andrea Clementi , Amos Korman , Francesco Pasquale , Luca Trevisan , Robin Vacus

Opinion dynamics of random-walking agents on finite two-dimensional lattices is studied. In the model, the opinion is continuous, and both the lattice and the opinion can be either periodic or non-periodic. At each time step, all agents…

Physics and Society · Physics 2012-04-27 Suhan Ree

People's opinions on a wide range of topics often evolve over time through their interactions with others. Models of opinion dynamics primarily focus on one-dimensional opinions, which represent opinions on one topic. However, opinions on…

Physics and Society · Physics 2025-09-01 Grace Jingying Li , Jiajie Luo , Weiqi Chu

We study an opinion dynamics model in which agents reach compromise via pairwise interactions. When the opinions of two agents are sufficiently close, they both acquire the average of their initial opinions; otherwise, they do not interact.…

Statistical Mechanics · Physics 2009-11-07 E. Ben-Naim , P. L. Krapivsky , S. Redner

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

Physics and Society · Physics 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

Physics and Society · Physics 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

Many models have been proposed to explain opinion formation in groups of individuals; most of these models study opinion propagation as the interaction between nodes/agents in a social network. Opinion formation is a complex process and a…

Physics and Society · Physics 2008-07-15 Floriana Gargiulo , Alberto Mazzoni

It is known that individual opinions on different policy issues often align to a dominant ideological dimension (e.g. "left" vs. "right") and become increasingly polarized. We provide an agent-based model that reproduces these two stylized…

Physics and Society · Physics 2020-10-28 Simon Schweighofer , David Garcia , Frank Schweitzer
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