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The Nowak modification of the Sznajd opinion dynamics model on the square lattice assumes that with probabilities beta and gamma the opinions flip due to mass-media advertising from down to up, and vice versa. Besides, with probability…

Physics and Society · Physics 2009-03-30 Maciej Woloszyn , Dietrich Stauffer , Krzysztof Kulakowski

In this era of fast and large-scale opinion formation, a mathematical understanding of opinion evolution, a.k.a. opinion dynamics, acquires importance. Linear graph-based dynamics and bounded confidence dynamics are the two popular models…

Social and Information Networks · Computer Science 2022-12-29 Sushmitha Shree S , Avhishek Chatterjee , Krishna Jagannathan

Opinion dynamics models how the publicly expressed opinions of users in a social network coevolve according to their neighbors as well as their own intrinsic opinion. Motivated by the real-world manipulation of social networks during the…

Social and Information Networks · Computer Science 2026-01-22 Akhil Jalan , Marios Papachristou

We present a stochastic imitation-based model of opinion dynamics in which agents balance social conformity with responsiveness to an external signal. The model captures how populations evolve between two binary opinion states, driven by…

Physics and Society · Physics 2025-08-12 Federica De Domenico , Fabio Caccioli , Giacomo Livan

Opinion spreading in a society decides the fate of elections, the success of products, and the impact of political or social movements. The model by Hegselmann and Krause is a well-known theoretical model to study such opinion formation…

Data Structures and Algorithms · Computer Science 2024-04-16 Petra Berenbrink , Martin Hoefer , Dominik Kaaser , Pascal Lenzner , Malin Rau , Daniel Schmand

During the last decades, quite a number of interacting particle systems have been introduced and studied in the border area of mathematics and statistical physics. Some of these can be seen as simplistic models for opinion formation…

Probability · Mathematics 2016-01-14 Timo Hirscher

We study the effect of inflexible agents on two state opinion dynamics. The model operates via repeated local updates of random grouping of agents. While floater agents do eventually flip their opinion to follow the local majority,…

Physics and Society · Physics 2009-11-13 Serge Galam , Frans Jacobs

In this paper, a model about the evolution of opinion on small world networks is proposed. We studied the macro-behavior of the agents' opinion and the relative change rate as time elapses. The external field was found to play an important…

Pattern Formation and Solitons · Physics 2009-11-11 YunFeng Chang , Long Guo , Xu Cai

A model for the joint evolution of opinions and how much the agents trust each other is presented. The model is built using the framework of the Continuous Opinions and Discrete Actions (CODA) model. Instead of a fixed probability that the…

Physics and Society · Physics 2014-11-19 André C. R. Martins

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…

Social and Information Networks · Computer Science 2019-09-04 Xicheng Yin , Hongwei Wang , Pei Yin , Hengmin Zhu

Social issues are generally discussed by highly-involved and less-involved people to build social norms defining what has to be thought and done about them. As self-involved agents share different attitude dynamics to other agents Wood,…

Multiagent Systems · Computer Science 2018-05-28 Sylvie Huet , Jean-Denis Mathias

The order-disorder phase transition is a fascinating phenomenon in opinion dynamics models within sociophysics. This transition emerges due to noise parameters, interpreted as social behaviors such as anticonformity and independence…

Confirmation bias and peer pressure both have substantial impacts on the formation of collective decisions. Nevertheless, few attempts have been made to study how the interplay between these two mechanisms affects public opinion evolution.…

Physics and Society · Physics 2020-12-22 Longzhao Liu , Xin Wang , Shaoting Tang , Zhiming Zheng

We here discuss the process of opinion formation in an open community where agents are made to interact and consequently update their beliefs. New actors (birth) are assumed to replace individuals that abandon the community (deaths). This…

Physics and Society · Physics 2007-12-07 Timoteo Carletti , Duccio Fanelli , Alessio Guarino , Franco Bagnoli , Andrea Guazzini

We study an opinion formation model by the means of a co-evolving complex network where the vertices represent the individuals, characterised by their evolving opinions, and the edges represent the interactions among them. The network…

Physics and Society · Physics 2015-06-19 Enrique Burgos , Laura Hernandez , Horacio Ceva , Roberto P. J. Perazzo

According to mass media theory, the dissemination of messages and the evolution of opinions in social networks follow a two-step process. First, opinion leaders receive the message from the message sources, and then they transmit their…

Social and Information Networks · Computer Science 2023-09-12 Huisheng Wang , Yuejiang Li , Yiqing Lin , H. Vicky Zhao

The focus of this work is on designing influencing strategies to shape the collective opinion of a network of individuals. We consider a variant of the voter model where opinions evolve in one of two ways. In the absence of external…

Social and Information Networks · Computer Science 2020-02-04 Anmol Gupta , Sharayu Moharir , Neeraja Sahasrabudhe

In this paper, we study the effects of introducing contrarians in a model of Opinion Dynamics where the agents have internal continuous opinions, but exchange information only about a binary choice that is a function of their continuous…

Physics and Society · Physics 2011-03-25 André C. R. Martins , Cleber D. Kuba

We study opinion dynamics on networks with a nontrivial community structure, assuming individuals can update their binary opinion as the result of the interactions with an external influence with strength $h\in [0,1]$ and with other…

Probability · Mathematics 2023-06-14 Simone Baldassarri , Anna Gallo , Vanessa Jacquier , Alessandro Zocca

We study Hegselmann-Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two different agents. Moreover, we explore two cases in which such an…

Optimization and Control · Mathematics 2024-07-25 Chiara Cicolani , Badis Ouahab , Cristina Pignotti