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Randomness in scientific estimation is generally assumed to arise from unmeasured or uncontrolled factors. However, when combining subjective probability estimates, heterogeneity stemming from people's cognitive or information diversity is…

Methodology · Statistics 2015-05-28 Ville Satopää , Robin Pemantle , Lyle Ungar

We propose an information propagation model that captures important temporal aspects that have been well observed in the dynamics of fake news diffusion, in contrast with the diffusion of truth. The model accounts for differential…

Social and Information Networks · Computer Science 2022-06-24 Michael Simpson , Farnoosh Hashemi , Laks V. S. Lakshmanan

Randomness in scientific estimation is generally assumed to arise from unmeasured or uncontrolled factors. However, when combining subjective probability estimates, heterogeneity stemming from people's cognitive or information diversity is…

Methodology · Statistics 2015-09-14 Ville A. Satopää , Robin Pemantle , Lyle H. Ungar

The goal of the paper is to study asymptotic behavior of the number of lost messages. Long messages are assumed to be divided into a random number of packets which are transmitted independently of one another. An error in transmission of a…

Probability · Mathematics 2007-05-23 Vyacheslav M. Abramov

Social media platforms disseminate extensive volumes of online content, including true and, in particular, false rumors. Previous literature has studied the diffusion of offline rumors, yet more research is needed to understand the…

Social and Information Networks · Computer Science 2023-03-22 Nicolas Pröllochs , Stefan Feuerriegel

This research examines the propagation of rumors on social networks during public health emergencies and explores strategies to effectively manage false information in cyberspace. Using a simulation model, the study analyzes the impact of…

Social and Information Networks · Computer Science 2023-03-28 Yixuan Zhao , Rohitha Settipalli

It is widely believed that one's peers influence product adoption behaviors. This relationship has been linked to the number of signals a decision-maker receives in a social network. But it is unclear if these same principles hold when the…

Social and Information Networks · Computer Science 2020-09-09 Soumajyoti Sarkar , Ashkan Aleali , Paulo Shakarian , Mika Armenta , Danielle Sanchez , Kiran Lakkaraju

The rapid dissemination of misinformation through online social networks poses a growing threat to public understanding and societal stability. Prebunking, a proactive strategy based on inoculation theory, has recently emerged as an…

Physics and Society · Physics 2025-07-10 Robert Rai , Rajesh Sharma , Chandrakala Meena

In (Deffuant et al., 2002), we proposed a simple model of opinion dynamics, which we used to simulate the influence of extremists in a population. Simulations were run without any specific interaction structure and varying the simulation…

Other Condensed Matter · Physics 2015-06-24 F. Amblard , G. Deffuant

The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions…

Probability · Mathematics 2011-04-19 Javier Gómez-Serrano , Carl Graham , Jean-Yves Le Boudec

We give new formulas on the total number of born particles in the stable birth-and-assassination process, and prove that it has an heavy-tailed distribution. We also establish that this process is a scaling limit of a process of rumor…

Probability · Mathematics 2008-10-20 Charles Bordenave

This paper studies a novel stochastic compartmental model that describes the dynamics of trust in society. The population is split into three compartments representing levels of trust in society: trusters, skeptics and doubters. The focus…

Physics and Society · Physics 2024-09-20 Benedikt Valentin Meylahn , Koen De Turck , Michel Mandjes

Pluralistic ignorance is a social-psychological phenomenon that occurs when individuals privately hold beliefs that differ from perceived group norms. Traditional models, based on opinion dynamics with private and public states, fail to…

Physics and Society · Physics 2024-07-01 Alessandra F. Lütz , Lucas Wardil

The paper addresses a method for spreading messages in social networks through an initial acceleration by Spreading Groups. These groups start the spread which eventually reaches a larger portion of the network. The use of spreading groups…

Social and Information Networks · Computer Science 2017-04-10 Alon Sela , Orit Milo-Cohen , Irad Ben-Gal , Eugene Kagan

Given a statistical model, we propose a novel estimation method that yields randomised estimators for the unknown distribution of an observed random variable. We establish non-asymptotic bounds for the performance of these estimators and…

Statistics Theory · Mathematics 2026-05-06 Yannick Baraud

The dynamics of information dissemination in social networks is of paramount importance in processes such as rumors or fads propagation, spread of product innovations or "word-of-mouth" communications. Due to the difficulty in tracking a…

Physics and Society · Physics 2010-03-01 Jose Luis Iribarren , Esteban Moro

Opinion formation in the population has attracted extensive research interest. Various models have been introduced and studied, including the ones with individuals' free will allowing them to change their opinions. Such models, however,…

Social and Information Networks · Computer Science 2017-03-08 Yi Yu , Gaoxi Xiao

We present a model that explores the influence of persuasion in a population of agents with positive and negative opinion orientations. The opinion of each agent is represented by an integer number $k$ that expresses its level of agreement…

Physics and Society · Physics 2014-05-30 C. E. La Rocca , L. A. Braunstein , F. Vazquez

This study extends classical models of spreading epidemics to describe the phenomenon of contagious public outrage, which eventually leads to the spread of violence following a disclosure of some unpopular political decisions and/or…

Physics and Society · Physics 2015-06-17 Sarwat Nizamani , Nasrullah Memon , Serge Galam

Starting from considerations about meaning and subsequent use of asymmetric uncertainty intervals of experimental results, we review the issue of uncertainty propagation. We show that, using a probabilistic approach (the so-called Bayesian…

High Energy Physics - Experiment · Physics 2007-05-23 G. D'Agostini , M. Raso