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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

This paper studies the evolution of the distribution of opinions in a population of individuals in which there exist two distinct subgroups of highly-committed, well-connected opinion leaders endowed with a strong convincing power. Each…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Nino Boccara

We consider an extension of a binary decision model in which nodes make decisions based on influence-biased averages of their neighbors' states, similar to Ising spin glasses with on-site random fields. In the limit where these influences…

Physics and Society · Physics 2013-10-01 Andrew Lucas

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

Advertisement and propaganda have changed continuously in the past decades, mainly due to the people's interactions at online platforms and social networks, and operate nowadays reaching a highly specific online audience instead targeting…

Physics and Society · Physics 2024-06-28 Fabricio L. Forgerini , Nuno Crokidakis , Marcio A. V. Carvalho

In modern democracies, the outcome of elections and referendums is often remarkably tight. The repetition of these divisive events are the hallmark of a split society; to the physicist, however, it is an astonishing feat for such large…

Statistical Mechanics · Physics 2024-02-20 Olivier Devauchelle , Piotr Szymczak , Piotr Nowakowski

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

In human societies opinion formation is mediated by social interactions, consequently taking place on a network of relationships and at the same time influencing the structure of the network and its evolution. To investigate this…

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

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.…

Identifying factors that affect human decision making and quantifying their influence remain essential and challenging tasks for the design and implementation of social and technological communication systems. We report results of a…

Physics and Society · Physics 2016-12-02 Chantal Nguyen , Fangqiu Han , Kimberly J. Schlesinger , Izzeddin Gür , Jean M. Carlson

The voter model is a simple agent-based model to mimic opinion dynamics in social networks: a randomly chosen agent adopts the opinion of a randomly chosen neighbour. This process is repeated until a consensus emerges. Although the basic…

Statistical Mechanics · Physics 2018-06-06 Michael T. Gastner , Beáta Oborny , Máté Gulyás

We study a variant of the voter model on a coevolving network in which interactions of two individuals with differing opinions only lead to an agreement on one of these opinions with a fixed probability $q$. Otherwise, with probability…

Probability · Mathematics 2025-12-23 Raphael Eichhorn , Felix Hermann , Marco Seiler

"Wisdom of crowds" refers to the phenomenon that the average opinion of a group of individuals on a given question can be very close to the true answer. It requires a large group diversity of opinions, but the collective error, the…

Physics and Society · Physics 2021-02-03 Pavlin Mavrodiev , Frank Schweitzer

We consider a model of binary opinion dynamics where one opinion is inherently 'superior' than the other and social agents exhibit a 'bias' towards the superior alternative. Specifically, it is assumed that an agent updates its choice to…

Probability · Mathematics 2024-05-01 Arpan Mukhopadhyay

A general model of opinion dynamics is introduced in which each individual's opinion is measured on a bounded continuous spectrum. Each opinion is influenced heterogeneously by every other opinion in the population. It is demonstrated that…

Physics and Society · Physics 2021-10-22 Joseph William Baron

We investigate a variant of the two-state $q$-voter model in which agents update their states under a random external field (which points upward with probability $s$ and downward with probability $1-s$) with probability $p$ or adopt the…

Physics and Society · Physics 2025-08-22 Roni Muslim , Jihye Kim , Noriko Oikawa , Rinto Anugraha N Q Z , Zulkaida Akbar

People are often challenged to select one among several alternatives. This situation is present not only in decisions about complex issues, e.g., political or academic choices, but also about trivial ones, as in daily purchases at a…

Physics and Society · Physics 2016-06-14 Angelo M. Calvão , Marlon Ramos , Celia Anteneodo

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

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

In this work, we focus on strategies to influence the opinion dynamics of a well-connected society. We propose a generalization of the popular voter model. This variant of the voter model can capture a wide range of individuals including…

Social and Information Networks · Computer Science 2020-02-17 Arunabh Saxena , Bhumesh Kumar , Anmol Gupta , Neeraja Sahasrabudhe , Sharayu Moharir
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