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The rise of social media and online social networks has been a disruptive force in society. Opinions are increasingly shaped by interactions on online social media, and social phenomena including disagreement and polarization are now…

Social and Information Networks · Computer Science 2017-12-29 Cameron Musco , Christopher Musco , Charalampos E. Tsourakakis

Consensus formation is a complex process, particularly in networked groups. When individuals are incentivized to dig in and refuse to compromise, leaders may be essential to guiding the group to consensus. Specifically, the relative…

Physics and Society · Physics 2024-08-20 Matthew I. Jones , Nicholas A. Christakis

This paper aims to provide a systemic analysis to social opinion dynamics subject to individual biases. As a generalization of the classical DeGroot social interactions, defined by linearly coupled dynamics of peer opinions that evolve over…

Social and Information Networks · Computer Science 2018-02-06 Zihan Chen , Jiahu Qin , Bo Li , Hongsheng Qi , Peter Buchhorn , Guodong Shi

In this work, inspired by secret sharing schemes, we introduce a privacy-preserving approach for network consensus, by which all nodes in a network can reach an agreement on their states without exposing the individual state to neighbors.…

Systems and Control · Electrical Eng. & Systems 2021-03-08 Silun Zhang , Thomas Ohlson Timoudas , Munther Dahleh

We investigate the impact of noise and topology on opinion diversity in social networks. We do so by extending well-established models of opinion dynamics to a stochastic setting where agents are subject both to assimilative forces by their…

Social and Information Networks · Computer Science 2021-04-15 Samuel Stern , Giacomo Livan

During an epidemic, the information available to individuals in the society deeply influences their belief of the epidemic spread, and consequently the preventive measures they take to stay safe from the infection. In this paper, we develop…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Shraddha Pathak , Ankur A. Kulkarni

We study information aggregation in networks where agents make binary decisions (labeled incorrect or correct). Agents initially form independent private beliefs about the better decision, which is correct with probability $1/2+\delta$. The…

Computer Science and Game Theory · Computer Science 2020-07-09 Maryam Bahrani , Nicole Immorlica , Divyarthi Mohan , S. Matthew Weinberg

We develop a model of social learning from overabundant information: Short-lived agents sequentially choose from a large set of (flexibly correlated) information sources for prediction of an unknown state. Signal realizations are public. We…

Computer Science and Game Theory · Computer Science 2018-06-20 Annie Liang , Xiaosheng Mu

Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed as a new micro-foundation of opinion dynamics and validated…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Wenjun Mei , Julien M. Hendrickx , Ge Chen , Francesco Bullo , Florian Dörfler

We generalize a binary majority-vote model on adaptive networks to a plurality-vote counterpart. When opinions are uniformly distributed in the population of voters in the initial state, it is found that having more available opinions in…

Physics and Society · Physics 2016-06-24 Degang Wu , Kwok Yip Szeto

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

Physics and Society · Physics 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

We propose an agent-based model of collective opinion formation to study the wisdom of crowds under social influence. The opinion of an agent is a continuous positive value, denoting its subjective answer to a factual question. The wisdom…

Physics and Society · Physics 2020-08-25 Pavlin Mavrodiev , Frank Schweitzer

When individuals in a social network learn about an unknown state from private signals and neighbors' actions, the network structure often causes information loss. We consider rational agents and Gaussian signals in the canonical sequential…

Theoretical Economics · Economics 2026-02-20 Krishna Dasaratha , Kevin He

We consider a discrete opinion formation problem in a setting where agents are influenced by both information diffused by their social relations and from recommendations received directly from the social media manager. We study how the…

Social and Information Networks · Computer Science 2022-04-28 Vincenzo Auletta , Antonio Coppola , Diodato Ferraioli

Public opinion is often affected by the presence of committed groups of individuals dedicated to competing points of view. Using a model of pairwise social influence, we study how the presence of such groups within social networks affects…

Physics and Society · Physics 2012-04-24 J. Xie , J. Emenheiser , M. Kirby , S. Sreenivasan , B. K. Szymanski , G. Korniss

We restrict the propagation of misinformation in a social-media-like environment while preserving the spread of correct information. We model the environment as a random network of users in which each news item propagates in the network in…

Social and Information Networks · Computer Science 2022-11-10 Yigit E. Bayiz , Ufuk Topcu

We study the Hegselmann-Krause model of opinion dynamics on sparse, unbiased networks generated via Wilson's algorithm, unveiling how network connectivity and confidence bounds jointly determine collective behavior. By systematically…

Physics and Society · Physics 2025-07-22 Paolo Molignini

We consider a group of Bayesian agents who try to estimate a state of the world $\theta$ through interaction on a social network. Each agent $v$ initially receives a private measurement of $\theta$: a number $S_v$ picked from a Gaussian…

Applications · Statistics 2018-04-24 Elchanan Mossel , Noah Olsman , Omer Tamuz

In the sequential learning problem, agents in a network attempt to predict a binary ground truth, informed by both a noisy private signal and the predictions of neighboring agents before them. It is well known that social learning in this…

Social and Information Networks · Computer Science 2026-02-10 William Guo , Edward Xiong , Jie Gao

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat