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We consider open multi-agent systems, which are systems subject to frequent arrivals and departures of agents while the studied process takes place. We study the behavior of all-to-all pairwise gossip interactions in such open systems.…

Multiagent Systems · Computer Science 2022-03-17 Charles Monnoyer de Galland , Samuel Martin , Julien M. Hendrickx

This paper is about a new model of opinion dynamics with opinion-dependent connectivity. We assume that agents update their opinions asynchronously and that each agent's new opinion depends on the opinions of the $k$ agents that are closest…

Multiagent Systems · Computer Science 2018-07-26 Wilbert Samuel Rossi , Paolo Frasca

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

We develop an analytical model of information dissemination for a gossiping protocol that combines both pull and push approaches. With this model we analyse how fast an item is replicated through a network, and how fast the item spreads in…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-11 Rena Bakhshi , Daniela Gavidia , Wan Fokkink , Maarten van Steen

Empirical studies suggest a deep intertwining between opinion formation and decision-making processes, but these have been treated as separate problems in the study of dynamical models for social networks. In this paper, we bridge the gap…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Hassan Dehghani Aghbolagh , Mengbin Ye , Lorenzo Zino , Ming Cao , Zhiyong Chen

In this paper, we develop and analyze a gossip-based average consensus algorithm that enables all of the components of a distributed system, each with some initial value, to reach (approximate) average consensus on their initial values…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Nicolaos E. Manitara , Apostolos I. Rikos , Christoforos N. Hadjicostis

Both small world models of random networks with occasional long range connections and gossip processes with occasional long range transmission of information have similar characteristic behaviour. The long range elements appreciably reduce…

Probability · Mathematics 2013-01-22 A. D. Barbour , G. Reinert

This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution of social media contacts depend on agents' popularity and the prominence of their views.…

Optimization and Control · Mathematics 2026-03-04 Giacomo Albi , Elisa Calzola , Matteo Piu

Efficient and robust algorithms for decentralized estimation in networks are essential to many distributed systems. Whereas distributed estimation of sample mean statistics has been the subject of a good deal of attention, computation of…

Machine Learning · Statistics 2019-01-25 Igor Colin , Aurélien Bellet , Joseph Salmon , Stéphan Clémençon

This paper extends the consensus framework, widely studied in the literature on distributed computing and control algorithms, to networks of quantum systems. We define consensus situations on the basis of invariance and symmetry properties,…

Quantum Physics · Physics 2015-01-05 Luca Mazzarella , Alain Sarlette , Francesco Ticozzi

We describe and develop three recent novelties in network research which are particularly useful for studying social systems. The first one concerns the discovery of some basic dynamical laws that enable the emergence of the fundamental…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Hans J. Herrmann

Recommender systems help people cope with the problem of information overload. A recently proposed adaptive news recommender model [Medo et al., 2009] is based on epidemic-like spreading of news in a social network. By means of agent-based…

Physics and Society · Physics 2015-03-17 Giulio Cimini , Matus Medo , Tao Zhou , Dong Wei , Yi-Cheng Zhang

Gossip has been shown to be a relatively efficient solution to problems of cooperation in reputation-based systems of exchange, but many studies don't conceptualize gossiping in a realistic way, often assuming near-perfect information or…

Multiagent Systems · Computer Science 2025-11-26 Jan Majewski , Francesca Giardini

In this work we present novel provably accelerated gossip algorithms for solving the average consensus problem. The proposed protocols are inspired from the recently developed accelerated variants of the randomized Kaczmarz method - a…

Optimization and Control · Mathematics 2018-11-01 Nicolas Loizou , Michael Rabbat , Peter Richtárik

We study the fundamental problem of information spreading (also known as gossip) in dynamic networks. In gossip, or more generally, $k$-gossip, there are $k$ pieces of information (or tokens) that are initially present in some nodes and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-05 Chinmoy Dutta , Gopal Pandurangan , Rajmohan Rajaraman , Zhifeng Sun

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

We consider the plurality consensus problem among $n$ agents. Initially, each agent has one of $k$ different opinions. Agents choose random interaction partners and revise their state according to a fixed transition function, depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-01 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling

Opinion polarization is a ubiquitous phenomenon in opinion dynamics. In contrast to the traditional consensus oriented group decision making (GDM) framework, this paper proposes a framework with the co-evolution of both opinions and…

Social and Information Networks · Computer Science 2017-05-18 Qingxing Dong , Xin Zhou

We study distributed methods for online prediction and stochastic optimization. Our approach is iterative: in each round nodes first perform local computations and then communicate in order to aggregate information and synchronize their…

Information Theory · Computer Science 2014-03-06 Konstantinos I. Tsianos , Michael G. Rabbat

We study the transient behavior of a gossip model, in which agents randomly interact pairwise over a weighted graph with two communities. Edges within each community have identical weights, different from the weights between communities. It…

Systems and Control · Electrical Eng. & Systems 2023-04-26 Yu Xing , Karl H. Johansson