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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 investigate a majority-vote model on two-layer multiplex networks with community structure. In our majority-vote model, the edges on each layer encode one type of social relationship and an individual changes their opinion based on the…

Physics and Society · Physics 2022-06-29 Kaiyan Peng , Mason A. Porter

We study the evolution of opinions (or beliefs) over a social network modeled as a signed graph. The sign attached to an edge in this graph characterizes whether the corresponding individuals or end nodes are friends (positive links) or…

Social and Information Networks · Computer Science 2015-08-17 Guodong Shi , Alexandre Proutiere , Mikael Johansson , John S. Baras , Karl H. Johansson

In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [8], within the framework of an interacting multi-agent system, where agents are assumed to interact with each other and…

Probability · Mathematics 2026-01-30 Fei Cao , Roberto Cortez

We analyze a nonlinear $q$-voter model with stochastic noise, interpreted in the social context as independence, on a duplex network. The size of the lobby $q$ (i.e., the pressure group) is a crucial parameter that changes the behavior of…

Statistical Mechanics · Physics 2021-08-06 Anna Chmiel , Julian Sienkiewicz , Agata Fronczak , Piotr Fronczak

We investigate consensus formation and the asymptotic consensus times in stylized individual- or agent-based models, in which global agreement is achieved through pairwise negotiations with or without a bias. Considering a class of…

Physics and Society · Physics 2011-06-30 W. Zhang , C. Lim , S. Sreenivasan , J. Xie , B. K. Szymanski , G. Korniss

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

Probability · Mathematics 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

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

Vaccination campaigns play a pivotal role in controlling infectious diseases. Their success, however, depends not only on vaccine efficacy and availability but also significantly on public opinion and the willingness of individuals to…

Physics and Society · Physics 2026-03-26 Anika Roy , Ujjwal Shekhar , Subrata Ghosh , Tomasz Kapitaniak , Chittaranjan Hens

Individual decisions and behaviors are shaped not only by direct interactions with others but also by the collective emotional dynamics within groups. In this work, we introduce the signed simplicial contagion model, integrating both…

Physics and Society · Physics 2024-11-01 YuQianqian Ma , Peng Zhang , Leyang Xue

Meta-analysis seeks to combine the results of several experiments in order to improve the accuracy of decisions. It is common to use a test for homogeneity to determine if the results of the several experiments are sufficiently similar to…

Methodology · Statistics 2009-08-01 Elena Kulinskaya , Michael B. Dollinger , Kirsten Bjørkestøl

The voter model consists of a set of agents whose opinion is a binary variable. At each time step, an agent along with a social neighbor is selected and the agent imitates the social neighbor at the next time step. In this paper, we study a…

Probability · Mathematics 2023-07-06 Hsin-Lun Li

The existence of juxtaposed regions of distinct cultures in spite of the fact that people's beliefs have a tendency to become more similar to each other's as the individuals interact repeatedly is a puzzling phenomenon in the social…

Computational Physics · Physics 2010-11-05 Lucas R. Peres , Jose F. Fontanari

This paper studies the formation of final opinions for the Friedkin-Johnsen (FJ) model with a community of partially stubborn agents. The underlying network of the FJ model is symmetric and generated from a random graph model, in which each…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Lingfei Wang , Yu Xing , Karl H. Johansson

In public opinion studies, the relationships between opinions on different topics are likely to shift based on the characteristics of the respondents. Thus, understanding the complexities of public opinion requires methods that can account…

We introduce a generalized version of the noisy $q$-voter model, one of the most popular opinion dynamics models, in which voters can be in one of $s \ge 2$ states. As in the original binary $q$-voter model, which corresponds to $s=2$, at…

Physics and Society · Physics 2021-02-25 Bartłomiej Nowak , Bartosz Stoń , Katarzyna Sznajd-Weron

Multiplex networks consist of a fixed set of nodes connected by several sets of edges which are generated separately and correspond to different networks ("layers"). Here, a simple variant of the Ising model on multiplex networks with two…

Statistical Mechanics · Physics 2018-01-17 Andrzej Krawiecki

Some political strategies to win elections over the last years were based heavily on fomenting general distrust in information institutions and favoring distrustful sources. The misinformation pandemic has the straightforward consequence…

Physics and Society · Physics 2022-10-03 Ricardo Simão , Lucas Wardil

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 propose a generalized framework for the study of voter models in complex networks at the the heterogeneous mean-field (HMF) level that (i) yields a unified picture for existing copy/invasion processes and (ii) allows for the introduction…

Physics and Society · Physics 2012-03-20 Paolo Moretti , Suyu Liu , Andrea Baronchelli , Romualdo Pastor-Satorras
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