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In many applications, it becomes necessary for a set of distributed network nodes to agree on a common value or opinion as quickly as possible and with minimal communication overhead. The classical 2-choices rule is a well-known distributed…

Probability · Mathematics 2026-01-14 Luke Meredith , Arpan Mukhopadhyay

We study the plurality consensus problem in distributed systems where a population of extremely simple agents, each initially holding one of $k$ opinions, aims to agree on the initially most frequent one. In this setting, $h$-majority is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Francesco d'Amore , Niccolò D'Archivio , George Giakkoupis , Frédéric Giroire , Emanuele Natale

Motivated by the needs of resiliency, scalability, and plug-and-play operation, distributed decision-making is becoming increasingly prevalent. The problem of achieving consensus in a multi-agent system is at the core of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-21 Vivek Khatana , Murti V. Salapaka

The Majority Rule is applied to a topology that consists of two coupled random networks, thereby mimicking the modular structure observed in social networks. We calculate analytically the asymptotic behaviour of the model and derive a phase…

Physics and Society · Physics 2012-08-31 R. Lambiotte , M. Ausloos

A singularly (near) optimal distributed algorithm is one that is (near) optimal in \emph{two} criteria, namely, its time and message complexities. For \emph{synchronous} CONGEST networks, such algorithms are known for fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-05 Fabien Dufoulon , Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

In a sensor network, in practice, the communication among sensors is subject to:(1) errors or failures at random times; (3) costs; and(2) constraints since sensors and networks operate under scarce resources, such as power, data rate, or…

Information Theory · Computer Science 2009-11-13 Soummya Kar , Jose M. F. Moura

In this work, we study the consensus problem in which legitimate agents send their values over an undirected communication network in the presence of an unknown subset of malicious or faulty agents. In contrast to former works, we…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Orhan Eren Akgün , Sarper Aydın , Stephanie Gil , Angelia Nedić

We study the performance of asymptotic and approximate consensus algorithms under harsh environmental conditions. The asymptotic consensus problem requires a set of agents to repeatedly set their outputs such that the outputs converge to a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-28 Matthias Függer , Thomas Nowak , Manfred Schwarz

We consider a linear consensus system with n agents that can switch between r different connectivity patterns. A natural question is which switching law yields the best (or worst) possible speed of convergence to consensus? We formulate…

Optimization and Control · Mathematics 2014-07-10 Orel Ron , Michael Margaliot , Michael S. Branicky

A protocol for distributed estimation of discrete distributions is proposed. Each agent begins with a single sample from the distribution, and the goal is to learn the empirical distribution of the samples. The protocol is based on a simple…

Optimization and Control · Mathematics 2014-06-06 Anand D. Sarwate , Tara Javidi

A distributed average consensus algorithm robust to a wide range of impulsive channel noise distributions is proposed. This work is the first of its kind in the literature to propose a consensus algorithm which relaxes the requirement of…

Systems and Control · Computer Science 2015-06-22 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

This paper analyzes consensus in multi-agent systems under uniform and nonuniform communication delays, a key challenge in distributed coordination with applications to robotic swarms. It investigates the convergence of a consensus…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Shokoufeh Naderi , Maude Blondin , Sébastien Roy

Distributed consensus, the ability to reach agreement in the face of failures and asynchrony, is a fundamental primitive for constructing reliable distributed systems from unreliable components. The Paxos algorithm is synonymous with…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-20 Heidi Howard , Richard Mortier

This work considers the problem of resilient consensus where stochastic values of trust between agents are available. Specifically, we derive a unified mathematical framework to characterize convergence, deviation of the consensus from the…

Optimization and Control · Mathematics 2025-05-07 Michal Yemini , Angelia Nedić , Andrea Goldsmith , Stephanie Gil

Protocols for tossing a common coin play a key role in the vast majority of implementations of consensus. Even though the common coins in the literature are usually \emph{fair} (they have equal chance of landing heads or tails), we focus on…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-27 Ivan Geffner , Joseph Y. Halpern

We consider a model of binary opinion dynamics where one opinion is inherently 'superior' than the other and social agents exhibit a 'bias' towards the superior alternative. Specifically, it is assumed that an agent updates its choice to…

Probability · Mathematics 2024-05-01 Arpan Mukhopadhyay

Modular methods to transform Byzantine consensus protocols into ones that are fast and communication efficient in the common cases are presented. Small and short protocol segments called layers are custom designed to optimize performance in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Guy Goren , Yoram Moses

We address the self-stabilizing exact majority problem in the population protocol model, introduced by Angluin, Aspnes, Diamadi, Fischer, and Peralta (2004). In this model, there are $n$ state machines, called agents, which form a network.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-03 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Fukuhito Ooshita , Michiko Inoue

In this paper, the communication effort required in a multi-agent system (MAS) is minimized via an explicit optimization formulation. The paper considers a MAS of single-integrator agents with bounded inputs and a time-invariant…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Vishal Sawant , Debraj Chakraborty , Debasattam Pal
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