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A national voting population, when segmented into groups like, for example, different states, can yield a counter-intuitive scenario where the winner may not necessarily get the most number of total votes. A recent example is the 2016…

Physics and Society · Physics 2017-09-06 Soumyajyoti Biswas , Parongama Sen

In a previous paper we proposed a model to study the dynamics of opinion formation in human societies by a co-evolution process involving two distinct time scales of fast transaction and slower network evolution dynamics. In the transaction…

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

Explanations of polarization often rely on one of the three mechanisms: homophily, bounded confidence, and community-based interactions. Models based on these mechanisms consider the lack of interactions as the main cause of polarization.…

Physics and Society · Physics 2025-09-30 Tuan Pham , Sidney Redner , Lourens Waldorp , Jay Armas , Han L. J. van der Maas

We introduce a statistical physics model for opinion dynamics on random networks where agents adopt the opinion held by the majority of their direct neighbors only if the fraction of these neighbors exceeds a certain threshold, p_u. We find…

Physics and Society · Physics 2009-11-13 Peter Klimek , Renaud Lambiotte , Stefan Thurner

We analyze the properties of the majority-vote (MV) model with an additional noise in which a local spin can be changed independently of its neighborhood. In the standard MV, one of the simplest nonequilibrium systems exhibiting an…

Statistical Mechanics · Physics 2018-12-05 J. M. Encinas , Hanshuang Chen , Marcelo M. de Oliveira , C. E. Fiore

Public opinion is subject to peer interaction via social networks and external pressure from the media, advertising, and other actors. In this paper, we study the interaction between external and peer influence on the stochastic opinion…

Physics and Society · Physics 2024-07-31 Niels Van Santen , Jan Ryckebusch , Luis E. C. Rocha

In populations with community structure, the formation of consensus requires both alignment within and diffusion of beliefs across groups, processes that evolve on distinct time scales. How do modularity, asymmetry, and polarization shape…

Physics and Society · Physics 2026-03-31 Madi Yerlanov , Zachary Kilpatrick , Nancy Rodriguez

Formation of consensus, in binary yes/no type of voting, is a well defined process. However, even in presence of clear incentives, the dynamics involved can be incredibly complex. Specifically, formations of large groups of similarly…

Physics and Society · Physics 2020-08-14 Sudip Mukherjee , Soumyajyoti Biswas , Parongama Sen

We study the Deffuant et al. model for continuous--opinion dynamics under the influence of noise. In the original version of this model, individuals meet in random pairwise encounters after which they compromise or not depending of a…

Physics and Society · Physics 2009-08-24 Miguel Pineda , Raul Toral , Emilio Hernandez-Garcia

The symmetric exclusion process and the voter model are two interacting particle systems for which a dual finite particle system allows one to characterize its invariant measures. Adding spontaneous births and deaths to the two processes…

Probability · Mathematics 2007-05-23 Paul Jung

In this work we study a 3-state ($+1$, $-1$, $0$) opinion model in the presence of noise and disorder. We consider pairwise competitive interactions, with a fraction $p$ of those interactions being negative (disorder). Moreover, there is a…

Statistical Mechanics · Physics 2016-07-05 Allan R. Vieira , Nuno Crokidakis

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

A new model for the dynamics of opinion formation is proposed and analysed at the mean-field level. It can be regarded as a generalization of the noisy voter model in which agents update their binary states by copying others and by an…

Statistical Mechanics · Physics 2024-10-29 Miguel Aguilar-Janita , Andres Blanco-Alonso , Nagi Khalil

In this paper, the results of computer simulations based on Nowak--Szamrej--Latan\'e model with multiple (from two to five) opinions available in the system are presented. We introduce the noise discrimination level (which says how small…

Physics and Society · Physics 2022-12-29 Maciej Dworak , Krzysztof Malarz

The influence of contrarians on the noisy voter model is studied at the mean-field level. The noisy voter model is a variant of the voter model where agents can adopt two opinions, optimistic or pessimistic, and can change them by means of…

Physics and Society · Physics 2018-10-10 Nagi Khalil , Raul Toral

The term filter bubble has been coined to describe the situation of online users which---due to filtering algorithms---live in a personalised information universe biased towards their own interests.In this paper we use an agent-based…

Social and Information Networks · Computer Science 2017-01-01 Thomas Gottron , Felix Schwagereit

In this work, we develop an analytical framework that integrates opinion dynamics with a recommendation system. By incorporating elements such as collaborative filtering, we provide a precise characterization of how recommendation systems…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Yuhong Chen , Xiaobing Dai , Martin Buss , Fangzhou Liu

Opinion evolution and judgment revision are mediated through social influence. Based on a large crowdsourced in vitro experiment (n=861), it is shown how a consensus model can be used to predict opinion evolution in online collective…

Social and Information Networks · Computer Science 2016-09-28 Corentin Vande Kerckhove , Samuel Martin , Pascal Gend , Peter J. Rentfrow , Julien M. Hendrickx , Vincent D. Blondel

We address the issue of the reducibility of the dynamics on a multilayer network to an equivalent process on an aggregated single-layer network. As a typical example of models for opinion formation in social networks, we implement the voter…

Physics and Society · Physics 2016-02-08 Marina Diakonova , Vincenzo Nicosia , Vito Latora , Maxi San Miguel

Among different aspects of social networks, dynamics have been proposed to simulate how opinions can be transmitted. In this study, we propose a model that simulates the communication in an online social network, in which the posts are…

Social and Information Networks · Computer Science 2022-01-11 Henrique F. de Arruda , Felipe M. Cardoso , Guilherme F. de Arruda , Alexis R. Hernández , Luciano da F. Costa , Yamir Moreno