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There are numerous examples of societies with extremely stable mix of contrasting opinions. We argue that this stability is a result of an interplay between society network topology adjustment and opinion changing processes. To support this…

Physics and Society · Physics 2015-05-13 Pawel Sobkowicz

We propose and investigate different kinetic models for opinion formation, when the opinion formation process depends on an additional independent variable, e.g. a leadership or a spatial variable. More specifically, we consider:(i) opinion…

Physics and Society · Physics 2018-06-05 Bertram Düring , Marie-Therese Wolfram

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 apply random matrix theory to study the impact of measurement uncertainty on dynamic mode decomposition. Specifically, when the measurements follow a normal probability density function, we show how the moments of that density propagate…

Methodology · Statistics 2025-09-04 P. Algikar , P. Sharma , M. Netto , L. Mili

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

The dynamics of dispersal-structured populations, consisting of competing individuals that are characterized by different diffusion coefficients but are otherwise identical, is investigated. Competition is taken into account through…

Biological Physics · Physics 2020-04-15 E. Heinsalu , D. Navidad Maeso , M. Patriarca

We modify the model of Deffuant et al. to distinguish true opinion among others in the fashion of Hegselmann and Krause <http://jasss.soc.surrey.ac.uk/9/3/10.html>. The basic features of both models modified to account for truth seekers are…

Physics and Society · Physics 2007-05-23 K. Malarz

In the compromise model of Deffuant et al., opinions are real numbers between 0 and 1 and two agents are compatible if the difference of their opinions is smaller than the confidence bound parameter \epsilon. The opinions of a randomly…

Statistical Mechanics · Physics 2009-11-10 Santo Fortunato

In human societies opinion formation is mediated by social interactions, consequently taking place on a network of relationships and at the same time influencing the structure of the network and its evolution. To investigate this…

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

The cognitive process of opinion formation is often characterized by stubbornness or resistance of agents to changes of opinion. To capture such a feature we introduce a constant latency time in the standard voter model of opinion dynamics:…

Physics and Society · Physics 2024-08-27 Giovanni Palermo , Anna Mancini , Antonio Desiderio , Riccardo Di Clemente , Giulio Cimini

Interaction with others influences our opinions and behaviours. Our activities within various social circles lead to different opinions expressed in various situations, groups, and ways of communication. Earlier studies on agent-based…

Social and Information Networks · Computer Science 2024-03-08 Stanisław Stępień , Jarosław Jankowski , Piotr Bródka , Radosław Michalski

In this paper, we present an empirical study of the opinion dynamics of a large-scale sample of online social network users. We estimate opinions of users as continuous scalars based on their subscriptions to information sources and analyze…

Social and Information Networks · Computer Science 2022-01-26 Ivan V. Kozitsin

This paper considers a discrete-time opinion dynamics model in which each individual's susceptibility to being influenced by others is dependent on her current opinion. We assume that the social network has time-varying topology and that…

Social and Information Networks · Computer Science 2024-10-24 Ji Liu , Mengbin Ye , Brian D. O. Anderson , Tamer Başar , Angelia Nedić

Many models have been proposed to analyze the evolution of opinion structure due to the interaction of individuals in their social environment. Such models analyze the spreading of ideas both in completely interacting backgrounds and on…

Physics and Society · Physics 2015-03-13 F. Gargiulo , S. Huet

This paper explores the effects of simulated moments on the performance of inference methods based on moment inequalities. Commonly used confidence sets for parameters are level sets of criterion functions whose boundary points may depend…

Econometrics · Economics 2018-04-12 Hiroaki Kaido , Jiaxuan Li , Marc Rysman

Models of continuous opinion dynamics under bounded confidence show a sharp transition between a consensus and a polarization phase at a critical global bound of confidence. In this paper, heterogeneous bounds of confidence are studied. The…

Physics and Society · Physics 2010-12-07 Jan Lorenz

Independent voters play an increasingly decisive role in contemporary elections, yet their collective behavior remains poorly understood. This paper investigates how a minority of voters with greater flexibility in their political…

Physics and Society · Physics 2025-12-22 Ernő Buzás , Attila Szilva

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 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…

Theoretical Economics · Economics 2021-01-11 Agnieszka Kowalska-Styczeń , Krzysztof Malarz

This work introduces a Bayesian framework that unifies a wide class of opinion dynamics models. In this framework, an individual's opinion on a topic is the expected value of their belief, represented as a random variable with a prior…

Theoretical Economics · Economics 2025-08-25 Yen-Shao Chen , Tauhid Zaman
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