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In this article, I investigate the use of Bayesian updating rules applied to modeling social agents in the case of continuos opinions models. Given another agent statement about the continuous value of a variable $x$, we will see that…

Physics and Society · Physics 2009-04-04 Andre C. R. Martins

This paper gives lower bounds for the probability of consensus for two spatially explicit stochastic opinion models. Both processes are characterized by two finite connected graphs, that we call respectively the spatial graph and the…

Probability · Mathematics 2019-12-17 Mela Hardin , Nicolas Lanchier

We investigate the emergence of periodic behavior in opinion dynamics and its underlying geometry. For this, we use a bounded-confidence model with contrarian agents in a convolution social network. This means that agents adapt their…

Multiagent Systems · Computer Science 2024-03-12 Bernard Chazelle , Kritkorn Karntikoon , Jakob Nogler

Statistical mechanics has proven to be able to capture the fundamental rules underlying phenomena of social aggregation and opinion dynamics, well studied in disciplines like sociology and psychology. This approach is based on the…

Physics and Society · Physics 2016-01-13 Andrea Guazzini , Daniele Vilone , Franco Bagnoli

People are often divided into conformists and contrarians, the former tending to align to the majority opinion in their neighborhood and the latter tending to disagree with that majority. In practice, however, the contrarian tendency is…

Cellular Automata and Lattice Gases · Physics 2013-12-16 Franco Bagnoli , Raul Rechtman

We hereby propose a model of opinion dynamics where individuals update their beliefs because of interactions in acquaintances' group. The model exhibit a non trivial behavior that we discuss as a function of the main involved parameters.…

Physics and Society · Physics 2008-08-04 Timoteo Carletti , Simone Righi

We investigate opinion formation in a kinetic exchange opinion model, where opinions are represented by numbers in the real interval $[-1,1]$ and agents are typified by the individual degree of conviction about the opinion that they…

Physics and Society · Physics 2016-02-25 Allan R. Vieira , Celia Anteneodo , Nuno Crokidakis

After discussing the significance of interactions to understand complex multiscale stochastic systems (CMSS), we turn our attention to the construction of a Generalised Theory of Interactions (GToI). We define interactions as discrete,…

Physics and Society · Physics 2024-03-06 Santiago Núñez-Corrales , Eric Jakobsson

We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges, and this is enough to enable a significantly greater range…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

The influence of the social relationships of an individual on the individual's opinions (about a topic, a product, or whatever else) is a well known phenomenon and it has been widely studied. This paper considers a network of positive (i.e.…

Computational Complexity · Computer Science 2022-12-01 Miriam Di Ianni

This paper introduces a model for opinion dynamics, where at each time step, randomly selected agents see their opinions - modeled as scalars in [0,1] - evolve depending on a local interaction function. In the classical Bounded Confidence…

Multiagent Systems · Computer Science 2020-06-11 Elisabetta Cornacchia , Neta Singer , Emmanuel Abbe

A universal formula is shown to predict the dynamics of public opinion including eventual sudden and unexpected outbreaks of minority opinions within a generic parameter space of five dimensions. The formula is obtained combining and…

Physics and Society · Physics 2020-12-04 Serge Galam , Taksu Cheon

This paper presents a theoretical convergence analysis for an opinion-action coevolution model that integrates the opinion updating rule of the Hegselmann-Krause model with a utility-based decision-making mechanism. The model is…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Chen Song , Angela Fontan , Rong Su , Julien M. Hendrickx , Vladimir Cvetkovic , Karl H. Johansson

A model for opinion dynamics (Model I) has been recently introduced in which the binary opinions of the individuals are determined according to the size of their neighboring domains (population having the same opinion). The coarsening…

Physics and Society · Physics 2015-05-28 Soham Biswas , Parongama Sen , Purusattam Ray

We introduce and analyze a continuous time and state-space model of opinion cascades on networks of large numbers of agents that form opinions about two or more options. By leveraging our recent results on the emergence of agreement and…

Physics and Society · Physics 2023-11-07 Alessio Franci , Anastasia Bizyaeva , Shinkyu Park , Naomi Ehrich Leonard

A model for Opinion Particles, based on Bayesian-inspired models of Opinion Dynamics such as the CODA model is presented. By extending the discrete time characteristic of those models to continuous time, a theory for the movement of opinion…

General Physics · Physics 2013-07-15 André C. R. Martins

A way to simulate the basic interactions between two individuals with different opinions, in the context of strategic game theory, is proposed. Various games are considered, which produce different kinds of opinion formation dynamics.…

Physics and Society · Physics 2009-11-13 Alessandro Di Mare , Vito Latora

The effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a…

Physics and Society · Physics 2017-02-08 Pablo Balenzuela , Juan Pablo Pinasco , Viktoriya Semeshenko

We propose a new opinion dynamic model based on the experiments and results of Wood et al (1996). We consider pairs of individuals discussing on two attitudinal dimensions, and we suppose that one dimension is important, the other…

Physics and Society · Physics 2014-04-30 Sylvie Huet , Guillaume Deffuant

We present two models of continuous opinion dynamics under bounded confidence which are representable as nonnegative discrete dynamical systems, namely the Hegselmann-Krause model (Hegselmann and Krause, Journal of Artificial Societies and…

Physics and Society · Physics 2008-06-11 Jan Lorenz