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The voter model is a classical interacting particle system, modelling how global consensus is formed by local imitation. We analyse the time to consensus for a particular family of voter models when the underlying structure is a scale-free…

Probability · Mathematics 2024-01-11 John Fernley

The q-voter model, a variant of the classic voter model, has been analyzed by several authors: while allowing to study opinion dynamics, this model is also believed to be one of the most representative among the many defined in the wide…

Physics and Society · Physics 2015-10-26 Marco Alberto Javarone , Tiziano Squartini

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

Two studies tested the hypothesis that a Large Language Model (LLM) can be used to model psychological change following exposure to influential input. The first study tested a generic mode of influence - the Illusory Truth Effect (ITE) -…

Computation and Language · Computer Science 2023-03-13 Lewis D Griffin , Bennett Kleinberg , Maximilian Mozes , Kimberly T Mai , Maria Vau , Matthew Caldwell , Augustine Marvor-Parker

Political polarization, fueled by public discourse and echo chambers, threatens the foundation of democratic elections. However, traditional one-dimensional opinion models -- assuming ``support for one party equals opposition to another''…

Physics and Society · Physics 2025-10-31 Ziqian Liu , Xin Wang , Junyu Lu , Longzhao Liu , Hongwei Zheng , Shaoting Tang

In many real-world complex systems, the time-evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here, we study opinion formation and imitation on an adaptive complex network which is dependent on…

Physics and Society · Physics 2016-04-11 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Wolfgang Lucht , Jürgen Kurths

Recent technological changes have increased connectivity between individuals around the world leading to higher frequency interactions between members of communities that would be otherwise distant and disconnected. This paper examines a…

Social and Information Networks · Computer Science 2020-01-13 Hossein Noorazar , Matthew Sottile , Kevin Vixie

We consider a modification of the adaptive contact process which, interpreted in the context of opinion dynamics, breaks the symmetry of the coevolutionary voter model by assigning to each node type a different strategy to promote…

Adaptation and Self-Organizing Systems · Physics 2013-12-30 Stefan Wieland , Ana Nunes

Numerous models in opinion dynamics focus on the temporal dynamics within a single electoral unit (e.g., country). The empirical observations, on the other hand, are often made across multiple electoral units (e.g., polling stations) at a…

Physics and Society · Physics 2019-10-11 Aleksejus Kononovicius

The voter model is an archetypal stochastic process that represents opinion dynamics. In each update, one agent is chosen uniformly at random. The selected agent then copies the current opinion of a randomly selected neighbour. We…

Physics and Society · Physics 2020-11-20 Michael T. Gastner , Kota Ishida

This paper considers the consensus problem of a novel opinion dynamics model with group pressure and self-confidence. Different with the most existing paper, the influence of friends of friends in a social network is taken into account,…

Information Theory · Computer Science 2024-06-21 Wenjuan Wang , Zhongmei Wang , Xinmin Song

Recent studies show that many types of human social activities, from scientific collaborations to sexual contacts, can be understood in terms of complex network of interactions. Such networking paradigm allows to model many aspects of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pawel Sobkowicz

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

To model the interdependent couplings of multiple topics, we develop a set of rules for opinion updates of a group of agents. The rules are used to design or assign values to the elements of interdependent weighting matrices. The…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Hyo-Sung Ahn , Quoc Van Tran , Minh Hoang Trinh , Kevin L. Moore , Mengbin Ye , Ji Liu

We consider the problem of estimating social influence, the effect that a person's behavior has on the future behavior of their peers. The key challenge is that shared behavior between friends could be equally explained by influence or by…

Social and Information Networks · Computer Science 2022-04-05 Dhanya Sridhar , Caterina De Bacco , David Blei

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

The noisy voter model is a stylised representation of opinion dynamics. Individuals copy opinions from other individuals, and are subject to spontaneous state changes. In the case of two opinion states this model is known to have a…

Physics and Society · Physics 2021-02-10 Nagi Khalil , Tobias Galla

Individuals increasingly rely on social networking platforms to form opinions. However, these platforms typically aim to maximize engagement, which may not align with social good. In this paper, we introduce an opinion dynamics model where…

Theoretical Economics · Economics 2025-06-06 Ozan Candogan , Nicole Immorlica , Bar Light , Jerry Anunrojwong

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

We propose a three-state microscopic opinion formation model for the purpose of simulating the dynamics of financial markets. In order to mimic the heterogeneous composition of the mass of investors in a market, the agent-based model…

Physics and Society · Physics 2019-05-14 Bernardo J. Zubillaga , André L. M. Vilela , Chao Wang , Kenric P. Nelson , H. Eugene Stanley
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