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A new agent-based, bounded-confidence model for discrete one-dimensional opinion dynamics is presented. The agents interact if their opinions do not differ more than a tolerance parameter. In pairwise interactions, one of the pair, randomly…

Adaptation and Self-Organizing Systems · Physics 2013-02-19 M. Kaan Öztürk

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

Formal models of opinion formation commonly represent an individual's opinion by a value on a fixed opinion interval. We propose an alternative modeling method wherein interpretation is only provided to the relative positions of opinions…

Physics and Society · Physics 2022-02-03 Kit Ming Danny Chan , Robert Duivenvoorden , Andreas Flache , Michel Mandjes

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…

Physics and Society · Physics 2015-09-03 Francesca Giardini , Daniele Vilone , Rosaria Conte

The empirical validation of models remains one of the most important challenges in opinion dynamics. In this contribution, we report on recent developments on combining data from survey experiments with computational models of opinion…

Physics and Society · Physics 2023-07-24 Sven Banisch , Hawal Shamon

The proliferation of social media platforms, recommender systems, and their joint societal impacts have prompted significant interest in opinion formation and evolution within social networks. We study how local edge dynamics can drive…

Social and Information Networks · Computer Science 2022-12-12 Nikita Bhalla , Adam Lechowicz , Cameron Musco

I review and extend the set of unifying principles, which allow comparing all models of opinion dynamics within one single frame. Within the Global Unifying Frame (GUF), any specific update rule chosen to study opinion dynamics for discrete…

Physics and Society · Physics 2022-11-09 Serge Galam

Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed as a new micro-foundation of opinion dynamics and validated…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Wenjun Mei , Julien M. Hendrickx , Ge Chen , Francesco Bullo , Florian Dörfler

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

Models of the convergence of opinion in social systems have been the subject of a considerable amount of recent attention in the physics literature. These models divide into two classes, those in which individuals form their beliefs based…

Physics and Society · Physics 2007-05-23 Petter Holme , M. E. J. Newman

The field of opinion dynamics has its roots in early research that applied methods from magnetic physics to gain insights into the formation of social opinions. A central challenge in this field lies in modeling how diverse opinions coexist…

Physics and Society · Physics 2024-05-02 Yasuko Kawahata

Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

Other Statistics · Statistics 2022-02-08 Rose D Baker

This paper studies the opinion dynamics that result when individuals consecutively discuss a sequence of issues. Specifically, we study how individuals' self-confidence levels evolve via a reflected appraisal mechanism. Motivated by the…

Optimization and Control · Mathematics 2016-03-02 Zhi Xu , Ji Liu , Tamer Basar

Individuals increasingly rely on social networking platforms to form opinions. However, these platforms typically aim to maximize engagement, which may not align with social good. In this paper, we introduce an opinion dynamics model where…

Theoretical Economics · Economics 2025-06-06 Ozan Candogan , Nicole Immorlica , Bar Light , Jerry Anunrojwong

We investigate a dynamical model of opinion formation in which an individual's opinion is influenced by interactions with a group of other agents. We introduce a bias towards one of the opinions in a manner not considered earlier to the…

Physics and Society · Physics 2024-09-17 Pratik Mullick , Parongama Sen

This article studies the evolution of opinions and interpersonal influence structures in a group of agents as they discuss a sequence of issues, each of which follows an opinion dynamics model. In this work, we propose a general opinion…

Social and Information Networks · Computer Science 2017-11-20 Susana Rey , Patricio Reyes , Alonso Silva

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…

Physics and Society · Physics 2023-02-01 Lucía Pedraza , Juan Pablo Pinasco , Viktoriya Semeshenko , Pablo Balenzuela

Timeline algorithms are key parts of online social networks, but during recent years they have been blamed for increasing polarization and disagreement in our society. Opinion-dynamics models have been used to study a variety of phenomena…

Social and Information Networks · Computer Science 2024-02-16 Tianyi Zhou , Stefan Neumann , Kiran Garimella , Aristides Gionis

We present a new two-state {+-} opinion dynamics model which defines a general frame to include all local dynamics in two-state spin systems. Agents evolve by probabilistic local rules. In each update, groups of various sizes k are formed…

Disordered Systems and Neural Networks · Physics 2007-05-23 Serge Galam

Unlike many complex networks studied in the literature, social networks rarely exhibit unanimous behavior, or consensus. This requires a development of mathematical models that are sufficiently simple to be examined and capture, at the same…

Systems and Control · Computer Science 2017-10-16 Sergey E. Parsegov , Anton V. Proskurnikov , Roberto Tempo , Noah E. Friedkin