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We analyze the critical behavior of a class of discrete opinion models in the presence of disorder. Within this class, each agent opinion takes a discrete value ($\pm 1$ or 0) and its time evolution is ruled by two terms, one representing…

Physics and Society · Physics 2012-12-24 Nuno Crokidakis , Celia Anteneodo

We propose a model of continuous opinion dynamics, where mutual interactions can be both positive and negative. Different types of distributions for the interactions, all characterized by a single parameter $p$ denoting the fraction of…

Physics and Society · Physics 2012-03-02 Soumyajyoti Biswas , Arnab Chatterjee , Parongama Sen

We study the critical behavior of a continuous opinion model, driven by kinetic exchanges in a fully-connected population. Opinions range in the real interval $[-1,1]$, representing the different shades of opinions against and for an issue…

Physics and Society · Physics 2017-04-18 Celia Anteneodo , Nuno Crokidakis

In this work we study the opinion evolution in a community-based population with intergroup interactions. We address two issues. First, we consider that such intergroup interactions can be negative with some probability $p$. We develop a…

Physics and Society · Physics 2020-02-21 André L. Oestereich , Marcelo A. Pires , Nuno Crokidakis

We review in details some recently proposed kinetic models of opinion dynamics. We discuss the several variants including a generalised model. We provide mean field estimates for the critical points, which are numerically supported with…

Physics and Society · Physics 2015-03-17 Soumyajyoti Biswas , Anjan Kumar Chandra , Arnab Chatterjee , Bikas K. Chakrabarti

We investigate the phenomena of order-disorder phase transition and the universality of the majority-rule model defined on three complex networks, namely the Barabasi-Albert, Watts-Strogatz, and Erdos-Renyi networks. Assume each agent holds…

Physics and Society · Physics 2024-02-27 Didi Ahmad Mulya , Roni Muslim

We present here the exact solution of an infinite range, discrete, opinion formation model. The model shows an active-absorbing phase transition, similar to that numerically found in its recently proposed continuous version (Lallouache et…

Physics and Society · Physics 2011-11-21 Soumyajyoti Biswas

We study the effects of free will and massive opinion of multi-agents in a majority rule model wherein the competition of the two types of opinions is taken into account. To address this issue, we consider two specific models (model I and…

Physics and Society · Physics 2008-07-30 Zhi-Xi Wu , Guanrong Chen

We introduce a model of negotiation dynamics whose aim is that of mimicking the mechanisms leading to opinion and convention formation in a population of individuals. The negotiation process, as opposed to ``herding-like'' or ``bounded…

Statistical Mechanics · Physics 2007-11-06 A. Baronchelli , L. Dall'Asta , A. Barrat , V. Loreto

We introduce and discuss certain kinetic models of (continuous) opinion formation involving both exchange of opinion between individual agents and diffusion of information. We show conditions which ensure that the kinetic model reaches non…

Mathematical Physics · Physics 2007-05-23 G. Toscani

Polarization of societies is getting more and more attention from researchers working at the intersection of many fields, because it seems to be a defining feature of many public domains. In this paper, we are going to investigate how the…

Physics and Society · Physics 2019-10-14 Janusz Szwabiński , Tomasz Weron

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…

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 study phase transitions in models of opinion formation which are based on the social impact theory. Two different models are discussed: (i) a cellular--automata based model of a finite group with a strong leader where persons can change…

Statistical Mechanics · Physics 2009-10-31 Janusz A. Holyst , Krzysztof Kacperski , Frank Schweitzer

In this work we consider the presence of contrarian agents in discrete 3-state kinetic exchange opinion models. The contrarians are individuals that adopt the choice opposite to the prevailing choice of their contacts, whatever this choice…

Physics and Society · Physics 2017-07-20 Joao Paulo Gambaro , Nuno Crokidakis

In this work we study a continuous opinion dynamics model considering 3-agent interactions and group pressure. Agents interact in a fully-connected population, and two parameters govern the dynamics: the agents' convictions $\lambda$, that…

Physics and Society · Physics 2020-05-26 Nuno Crokidakis

We study a model of continuous opinion dynamics with both positive and negative mutual interaction. The model shows a continuous phase transition between a phase with consensus (order) and a phase having no consensus (disorder). The mean…

Statistical Mechanics · Physics 2017-01-04 Sudip Mukherjee , Arnab Chatterjee

This paper proposes a conditional Curie-Weiss model as a model for opinion formation in a society polarized along two opinions, say opinions 1 and 2. The model comes with interaction strength $\beta>0$ and bais $h$. Here the population in…

Probability · Mathematics 2016-08-29 Alex A. Opoku , Kwame Owusu Edusei , Richard Ansah

The concept of a bounded confidence level is incorporated in a nonconservative kinetic exchange model of opinion dynamics model where opinions have continuous values $\in [-1,1]$. The characteristics of the unrestricted model, which has one…

Physics and Society · Physics 2013-05-30 Parongama Sen

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