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Consensus protocols play an important role in the study of distributed algorithms. In this paper, we study the effect of bias on two popular consensus protocols, namely, the {\em voter rule} and the {\em 2-choices rule} with binary…

Probability · Mathematics 2023-02-17 Oindrila Deb , Arpan Mukhopadhyay

In this paper, we propose a technique for the estimation of the influence matrix in a sparse social network, in which $n$ individual communicate in a gossip way. At each step, a random subset of the social actors is active and interacts…

Systems and Control · Computer Science 2019-03-27 Chiara Ravazzi , Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

A recent analysis of empirical limit order flow data highlights the necessity for a more refined order flow model that integrates the power-law distribution of limit order cancellation times. These cancellation times follow a discrete…

Physics and Society · Physics 2024-07-19 Vygintas Gontis

We study the connections between network structure, opinion dynamics, and an adversary's power to artificially induce disagreements. We approach these questions by extending models of opinion formation in the social sciences to represent…

Data Structures and Algorithms · Computer Science 2020-07-14 Jason Gaitonde , Jon Kleinberg , Eva Tardos

Opinion dynamics have attracted the interest of researchers from different fields. Local interactions among individuals create interesting dynamics for the system as a whole. Such dynamics are important from a variety of perspectives. Group…

Physics and Society · Physics 2020-07-10 Hossein Noorazar

We present a tight analysis for the well-studied randomized 3-majority dynamics of stabilizing consensus, hence answering the main open question of Becchetti et al. [SODA'16]. Consider a distributed system of n nodes, each initially holding…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-17 Mohsen Ghaffari , Johannes Lengler

Inspired by the famous Target Set Selection problem, we propose a new discrete model to simultaneously spread two opinions within a social network and perform an initial study of its complexity. Here, we are given a social network, a…

Data Structures and Algorithms · Computer Science 2025-06-23 Dušan Knop , Šimon Schierreich , Ondřej Suchý

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

We expect that democracy enables us to utilize collective intelligence such that our collective decisions build and enhance social welfare, and such that we accept their distributive and normative consequences. Collective decisions are…

Physics and Society · Physics 2021-04-06 Jan Lorenz , Martin Neumann

The rise of digital social media has strengthened the coevolution of public opinions and social interactions, that shape social structures and collective outcomes in increasingly complex ways. Existing literature often explores this…

Physics and Society · Physics 2024-09-20 Nataša Djurdjevac Conrad , Nhu Quang Vu , Sören Nagel

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 Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized by a number in the unit interval representing their opinion.…

Probability · Mathematics 2020-05-28 Nicolas Lanchier , Hsin-Lun Li

Opinion formation is an important element of social dynamics. It has been widely studied in the last years with tools from physics, mathematics and computer science. Here, a continuous model of opinion dynamics for multiple possible choices…

Physics and Society · Physics 2014-01-28 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

The paper studies the problem of steering multi-dimensional opinion in a social network. Assuming the society of desire consists of stubborn and regular agents, stubborn agents are considered as leaders who specify the desired opinion…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Hossein Rastgoftar

Most of the distributed protocols for multi-agent consensus assume that the agents are mutually cooperative and "trustful," and so the couplings among the agents bring the values of their states closer. Opinion dynamics in social groups,…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Alexey Matveev , Ming Cao

Recommendation algorithms, used in online social networks, shape interactions between users. In particular, link-recommendation algorithms suggest new connections and affect how individuals interact and exchange information. These…

Social and Information Networks · Computer Science 2026-04-23 Gabriella D. Franco , Marta C. Couto , Vítor V. Vasconcelos , Fernando P. Santos

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

This paper studies the opinion dynamics model recently introduced by Hegselmann and Krause: each agent in a group maintains a real number describing its opinion; and each agent updates its opinion by averaging all other opinions that are…

Mathematical Physics · Physics 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

Physics and Society · Physics 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

Here we developed a new conceptual, stochastic Heterogeneous Opinion-Status model (HOpS model), which is adaptive network model. The HOpS model admits to identify the main attributes of dynamics on networks and to study analytically the…

Physics and Society · Physics 2017-08-08 Liubov Tupikina
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