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Coupled map lattices are paradigmatic models of many collective phenomena. However, quite different patterns can emerge depending on the updating scheme. While in early versions, maps were updated synchronously, there has been in recent…

Chaotic Dynamics · Physics 2016-06-15 Juan Carlos González-Avella , Celia Anteneodo

We investigate a variation of the classical voter model in which the set of influencing agents depends on an individual's current opinion. The initial population consists of a random sample of equally sized sub-populations for each state,…

Physics and Society · Physics 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño

This paper introduces a new model of continuous opinion dynamics with random noise. The model belongs to the broad class of so called bounded confidence models. It differs from other popular bounded confidence models by the update rule,…

Adaptation and Self-Organizing Systems · Physics 2011-06-02 P. Nyczka

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

The original Hegselmann-Krause (HK) model comprises a set of $n$ agents characterized by their opinion, a number in $[0,1]$. Agent $i$ updates its opinion $x_i$ via taking the average opinion of its neighbors whose opinion differs by at…

Probability · Mathematics 2021-03-05 Hsin-Lun Li

A fundamental question related to innovation diffusion is how the social network structure influences the process. Empirical evidence regarding real-world influence networks is very limited. On the other hand, agent-based modeling…

Physics and Society · Physics 2015-06-17 Katarzyna Sznajd-Weron , Janusz Szwabinski , Rafal Weron , Tomasz Weron

In this paper we examine a variant of the voter model on a dynamically changing network where agents have the option of changing their friends rather than changing their opinions. We analyse, in the context of dense random graphs, two…

Probability · Mathematics 2015-01-14 Riddhipratim Basu , Allan Sly

In this paper we study a novel model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process. We refer to this…

Systems and Control · Computer Science 2013-04-09 Paolo Frasca , Chiara Ravazzi , Roberto Tempo , Hideaki Ishii

We study the outcomes of information aggregation in online social networks. Our main result is that networks with certain realistic structural properties avoid information cascades and enable a population to effectively aggregate…

Computer Science and Game Theory · Computer Science 2014-08-25 Michal Feldman , Nicole Immorlica , Brendan Lucier , S. Matthew Weinberg

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

An important question when eliciting opinions from experts is how to aggregate the reported opinions. In this paper, we propose a pooling method to aggregate expert opinions. Intuitively, it works as if the experts were continuously…

Multiagent Systems · Computer Science 2013-04-11 Arthur Carvalho , Kate Larson

Humans do not always make rational choices, a fact that experimental economics is putting on solid grounds. The social context plays an important role in determining our actions, and often we imitate friends or acquaintances without any…

Physics and Society · Physics 2012-10-01 Daniele Vilone , José J. Ramasco , Angel Sánchez , Maxi San Miguel

The original Hegselmann-Krause (HK) model is composed of a finite number of agents characterized by their opinion, a number in $[0,1]$. An agent updates its opinion via taking the average opinion of its neighbors whose opinion differs by at…

Optimization and Control · Mathematics 2021-08-19 Hsin-Lun Li

Often exhibiting hierarchical and overlapping structures, communities or modular groups are fundamental and complex in network science. One of the most exploited tools to detect the mesoscopic structure is synchronization. Several phenomena…

Physics and Society · Physics 2018-07-05 Ren Ren , Jinliang Shao

We propose an opinion dynamics model in which agents gradually increase their own self-confidence while interacting with each other. The relations between the newly proposed model and existing works of social learning, inertial opinion…

Optimization and Control · Mathematics 2016-09-20 Chu Wang

We explore the possibilities of enforcing and preventing consensus in continuous opinion dynamics that result from modifications in the communication rules. We refer to the model of Weisbuch and Deffuant, where $n$ agents adjust their…

Physics and Society · Physics 2011-01-18 Jan Lorenz , Diemo Urbig

We study a \emph{Plurality-Consensus} process in which each of $n$ anonymous agents of a communication network initially supports an opinion (a color chosen from a finite set $[k]$). Then, in every (synchronous) round, each agent can revise…

Discrete Mathematics · Computer Science 2015-07-28 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Riccardo Silvestri , Luca Trevisan

The formation of agents' opinions in a social system is the result of an intricate equilibrium among several driving forces. On the one hand, the social pressure exerted by peers favours the emergence of local consensus. On the other hand,…

Physics and Society · Physics 2017-04-18 Federico Battiston , Andrea Cairoli , Vincenzo Nicosia , Adrian Baule , Vito Latora

Inspired by the famous Target Set Selection problem, we propose a new discrete model to simultaneously spread two opinions within a social network and perform an initial study of its complexity. Here, we are given a social network, a…

Data Structures and Algorithms · Computer Science 2025-06-23 Dušan Knop , Šimon Schierreich , Ondřej Suchý

In this work, we are interested in finding the most efficient use of a budget to promote an opinion by paying agents within a group to supplant their true opinions. We model opinions as continuous scalars ranging from 0 to 1 with 1 (0)…

Computer Science and Game Theory · Computer Science 2016-08-31 Alonso Silva
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