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Analytical approaches in models of opinion formation have been extensively studied either for an opinion represented as a discrete or a continuous variable. In this paper, we analyze a model which combines both approaches. The state of an…

Physics and Society · Physics 2023-02-01 Lucía Pedraza , Juan Pablo Pinasco , Viktoriya Semeshenko , Pablo Balenzuela

In this work we study opinion formation on a fully-connected population participating of a public debate with two distinct choices, where the agents may adopt three different attitudes (favorable to either one choice or to the other, or…

Physics and Society · Physics 2014-01-28 Nuno Crokidakis , Victor H. Blanco , Celia Anteneodo

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

This work investigates the effects of complex networks on the collective behavior of a three-state opinion formation model in economic systems. Our model considers two distinct types of investors in financial markets: noise traders and…

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…

Probability · Mathematics 2024-10-29 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

In several real \emph{Multi-Agent Systems} (MAS), it has been observed that only weaker forms of\emph{metastable consensus} are achieved, in which a large majority of agents agree on some opinion while other opinions continue to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-05 Francesco d'Amore , Andrea Clementi , Emanuele Natale

We study the critical behavior of a noisy kinetic opinion model subject to resilience to change depending on aging, defined as the time spent on the current opinion state. In this model, the opinion of each agent can take the three discrete…

Physics and Society · Physics 2024-08-01 Allan R. Vieira , Jaume Llabrés , Raúl Toral , Celia Anteneodo

In this work, we investigate interactions that simultaneously order a system locally, while keeping it globally disordered. The study is done in the context of the emergence of diversity in opinion propagation models with interactions…

Physics and Society · Physics 2017-09-20 André M. Timpanaro

The notions of noise sensitivity and stability were recently extended for the voter model. In this model, the vertices of a graph have opinions that are updated by uniformly selecting edges. We further extend stability results to different…

Probability · Mathematics 2026-01-16 Gideon Amir , Omer Angel , Rangel Baldasso , Daniel de la Riva

Public opinion is often affected by the presence of committed groups of individuals dedicated to competing points of view. Using a model of pairwise social influence, we study how the presence of such groups within social networks affects…

Physics and Society · Physics 2012-04-24 J. Xie , J. Emenheiser , M. Kirby , S. Sreenivasan , B. K. Szymanski , G. Korniss

We propose a computational framework for modeling opinion dynamics in electoral competitions that combines two realistic features: voter memory and exogenous shocks. The population is represented by a fully-connected network of agents, each…

Physics and Society · Physics 2026-02-05 Jaime L. C. da C. Filho , Nuno Crokidakis

The dynamics of opinion formation in a society is a complex phenomenon where many variables play an important role. Recently, the influence of algorithms to filter which content is fed to social networks users has come under scrutiny.…

Modelling efforts in opinion dynamics have to a large extent ignored that opinion exchange between individuals can also have an effect on how willing they are to express their opinion publicly. Here, we introduce a model of public opinion…

Physics and Society · Physics 2020-10-14 Felix Gaisbauer , Eckehard Olbrich , Sven Banisch

In this paper we study nonlinear $q$-voter model with stochastic driving on a complete graph. We investigate two types of stochasticity that, using the language of social sciences, can be interpreted as different kinds of nonconformity.…

Statistical Mechanics · Physics 2013-05-30 Piotr Nyczka , Katarzyna Sznajd-Weron , Jerzy Cislo

In this paper we propose and investigate a multi-dimensional opinion dynamics model where people are characterised by both opinions and importance weights across these opinions. Opinion changes occur through binary interactions, with a…

Physics and Society · Physics 2026-01-12 Hanna Bartel , Martin Burger , Marie-Therese Wolfram

The interplay of social and strategic motivations in human interactions is a largely unexplored question in collective social phenomena. Whether individuals' decisions are taken in a pure strategic basis or due to social pressure without a…

Physics and Society · Physics 2014-09-19 Daniele Vilone , Jose J. Ramasco , Angel Sánchez , Maxi San Miguel

We study the dynamics of opinion formation in a heterogeneous voter model on a complete graph, in which each agent is endowed with an integer fitness parameter $k \ge 0$, in addition to its $+$ or $-$ opinion state. The evolution of the…

Physics and Society · Physics 2017-10-04 Anthony Woolcock , Colm Connaughton , Yasmin Merali , Federico Vazquez

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 dynamics of opinion formation in large groups of people is a complex non-linear phenomenon whose investigation is just at the beginning. Both collective behaviour and personal view play an important role in this mechanism. In the…

Physics and Society · Physics 2010-02-17 M. Bartolozzi , B. Leinweber , A. W. Thomas

In the standard $q$-voter model, a given agent can change its opinion only if there is a full consensus of the opposite opinion within a group of influence of size $q$. A more realistic extension is the threshold $q$-voter, where a minimal…

Physics and Society · Physics 2020-05-28 A. R. Vieira , Antonio F. Peralta , Raul Toral , Maxi San Miguel , C. Anteneodo
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