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In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the dynamics of opinion formation and change within a population. The IPP model integrates mechanisms of persuasion and repulsion, where individuals…

Physics and Society · Physics 2024-08-02 Fei Cao , Stephanie Reed

In some social networks, the opinion forming is based on its own and neighbors' (initial) opinions, whereas the evolution of the individual opinions is also influenced by the individual's past opinions in the real world. Unlike existing…

Physics and Society · Physics 2021-08-10 Qingsong Liu , Li Chai

We investigate the dynamics of the majority-rule opinion formation model when voters experience differential latencies. With this extension, voters that just adopted an opinion go into a latent state during which they are excluded from the…

Physics and Society · Physics 2015-03-17 Alexander Scheidler

We investigate opinion dynamics in a fully-connected system, consisting of $n$ identical and anonymous agents, where one of the opinions (which is called correct) represents a piece of information to disseminate. In more detail, one source…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-20 Luca Becchetti , Andrea Clementi , Amos Korman , Francesco Pasquale , Luca Trevisan , Robin Vacus

The cognitive process of opinion formation is often characterized by stubbornness or resistance of agents to changes of opinion. To capture such a feature we introduce a constant latency time in the standard voter model of opinion dynamics:…

Physics and Society · Physics 2024-08-27 Giovanni Palermo , Anna Mancini , Antonio Desiderio , Riccardo Di Clemente , Giulio Cimini

We introduce the heterogeneous voter model (HVM), in which each agent has its own intrinsic rate to change state, reflective of the heterogeneity of real people, and the partisan voter model (PVM), in which each agent has an innate and…

Physics and Society · Physics 2010-08-04 Naoki Masuda , N. Gibert , S. Redner

Aging is thought to be a consequence of intrinsic breakdowns in how genetic information is processed. But mounting experimental evidence suggests that aging can be slowed. To help resolve this mystery, I derive a mortality equation which…

Populations and Evolution · Quantitative Biology 2022-09-01 Thomas Fink

We investigate an agent-based model of opinion dynamics with two types of social response: conformity and independence. Conformity is introduced to the model analogously as in the Sznajd model or $q$-voter model, which means that only…

Physics and Society · Physics 2018-05-08 Arkadiusz Jędrzejewski , Katarzyna Sznajd-Weron

The dynamics of populations is rich, taking into account that both, the individual's actions and the population's fitness are coupled. The way in which an individual chooses a strategy depends off course on the interaction with other…

Biological Physics · Physics 2007-07-20 Juan G. Diaz Ochoa

The recent availability of huge high resolution datasets on human activities has revealed the heavy-tailed nature of the interevent time distributions. In social simulations of interacting agents the standard approach has been to use…

Physics and Society · Physics 2013-06-24 Juan Fernández-Gracia , Víctor M. Eguíluz , Maxi San Miguel

We study the dynamics of the naming game as an opinion formation model on time-varying social networks. This agent-based model captures the essential features of the agreement dynamics by means of a memory-based negotiation process. Our…

Physics and Society · Physics 2018-09-24 Suman Kalyan Maity , T. Venkat Manoj , Animesh Mukherjee

We consider a discrete-time voter model process on a set of nodes, each being in one of two states, either 0 or 1. In each time step, each node adopts the state of a randomly sampled neighbor according to sampling probabilities, referred to…

Optimization and Control · Mathematics 2022-11-28 Milan Vojnovic , Kaifang Zhou

We extend a classical model of continuous opinion formation to explicitly include an age-structured population. We begin by considering a stochastic differential equation model which incorporates ageing dynamics and birth/death processes,…

Analysis of PDEs · Mathematics 2026-01-14 Andrew Nugent , Susana N. Gomes , Marie-Therese Wolfram

We address the role of community structure of an interaction network in ordering dynamics, as well as associated forms of metastability. We consider the voter and AB model dynamics in a network model which mimics social interactions. The AB…

Physics and Society · Physics 2009-11-13 X. Castello , R. Toivonen , V. M. Eguiluz , J. Saramaki , K. Kaski , M. San Miguel

We present numerical simulations of a model of social influence, where the opinion of each agent is represented by a binary vector. Agents adjust their opinions as a result of random encounters, whenever the difference between opinions is…

Statistical Mechanics · Physics 2009-11-10 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

The voter model is a toy model of consensus formation based on nearest-neighbor interactions. A voter sits at each vertex in a hypercubic lattice (of dimension $d$) and is in one of two possible opinion states. The opinion state of each…

Statistical Mechanics · Physics 2023-11-08 Pascal Grange

Recent analysis of social communications among humans has revealed that the interval between interactions for a pair of individuals and for an individual often follows a long-tail distribution. We investigate the effect of such a…

Physics and Society · Physics 2011-09-28 Taro Takaguchi , Naoki Masuda

Opinion dynamics have fascinated researchers for centuries. The ability of societies to learn as well as the emergence of irrational {\it herding} are equally evident. The simplest example is that of agents that have to determine a binary…

Social and Information Networks · Computer Science 2017-04-07 Amir Leshem , Anna Scaglione

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

Statistical Mechanics · Physics 2025-12-10 Marc Besse , Raphaël Voituriez

We investigate a variation of the classical voter model in which the set of influencing agents depends on an individual's current opinion. The initial population consists of a random sample of equally sized sub-populations for each state,…

Physics and Society · Physics 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño