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We introduce an agent-based model for co-evolving opinion and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable.…

Dynamical Systems · Mathematics 2022-10-05 Natasa Djurdjevac Conrad , Jonas Köppl , Ana Djurdjevac

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

This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM dynamics as a micro description of the process, we show how…

Adaptation and Self-Organizing Systems · Physics 2011-08-10 Sven Banisch , Ricardo Lima , Tanya Araújo

Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have different opinions in different topics and therefore n-dimensional…

Physics and Society · Physics 2021-09-22 Lucia Pedraza , Juan Pablo Pinasco , Nicolas Saintier , Pablo Balenzuela

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

Accurately simulating human opinion dynamics is crucial for understanding a variety of societal phenomena, including polarization and the spread of misinformation. However, the agent-based models (ABMs) commonly used for such simulations…

Understanding how an individual changes its attitude, belief, and opinion due to other people's social influences is vital because of its wide implications. A core methodology that is used to study the change of attitude under social…

Social and Information Networks · Computer Science 2023-06-07 Yun-Shiuan Chuang , Timothy T. Rogers

We introduce multi-population opinion dynamics models linked to the bounded confidence model, aiming to explore how interactions between individuals contribute to the emergence of consensus, polarization, or fragmentation. Existing models…

Dynamical Systems · Mathematics 2023-11-29 Tigran Bakaryan , Yuliang Gu , Naira Hovakimyan , Tarek Abdelzaher , Christian Lebiere

A fundamental challenge in opinion dynamics research is the scarcity of real-world longitudinal opinion data, which complicates the validation of theoretical models. To address this, we propose a novel simulation framework using large…

Computer Science and Game Theory · Computer Science 2026-02-16 Yulong He , Dutao Zhang , Sergey Kovalchuk , Pengyi Li , Artem Sedakov

We introduce a new agent-based model of opinion dynamics in which binary opinions (yes/no) of each agent can be measured and described regarding both pre- and post-influence at both of two levels, public and private, vis-\`a-vis the…

Physics and Society · Physics 2018-11-16 Arkadiusz Jędrzejewski , Grzegorz Marcjasz , Paul R. Nail , Katarzyna Sznajd-Weron

We here discuss a model of continuous opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. We concentrate on the version of the…

Other Condensed Matter · Physics 2009-11-10 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard

We present a model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. High thresholds yield convergence of opinions towards…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard , Jean Pierre Nadal

Models of continuous opinion dynamics under bounded confidence have been presented independently by Krause and Hegselmann and by Deffuant et al in 2000. They have raised a fair amount of attention in the communities of social simulation,…

Physics and Society · Physics 2008-03-06 Jan Lorenz

This paper introduces a class of non-linear and continuous-time opinion dynamics model with additive noise and state dependent interaction rates between agents. The model features interaction rates which are proportional to a negative power…

Probability · Mathematics 2020-12-15 Jae Oh Woo , François Baccelli , Sriram Vishwanath

Agent-based models (ABMs) are proliferating as decision-making tools across policy areas in transportation, economics, and epidemiology. In these models, a central object of interest is the discrete origin-destination matrix which captures…

Machine Learning · Computer Science 2025-05-12 Ioannis Zachos , Mark Girolami , Theodoros Damoulas

In models of opinion dynamics, agents interact with each other and can change their opinions as a result of those interactions. One type of opinion model is a bounded-confidence model (BCM), in which opinions take continuous values and…

Physics and Society · Physics 2025-10-27 Weiqi Chu , Mason A Porter

Here, I study how to obtain an opinion dynamics model for the case where there are $M$ possible discrete choices and there is need to model how strong each agent choice is. The new model is obtained as an extension of the Continuous…

Physics and Society · Physics 2020-01-29 Andre C. R. Martins

This paper introduces a new model of continuous opinion dynamics with random noise. The model belongs to the broad class of so called bounded confidence models. It differs from other popular bounded confidence models by the update rule,…

Adaptation and Self-Organizing Systems · Physics 2011-06-02 P. Nyczka

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…

Probability · Mathematics 2015-01-14 Riddhipratim Basu , Allan Sly

Agent-based models of opinion dynamics allow one to examine the spread of opinions between entities and to study phenomena such as consensus, polarization, and fragmentation. By studying a model of opinion dynamics on a social network, one…

Physics and Society · Physics 2023-03-22 Grace J. Li , Mason A. Porter
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