Consensus dynamics: An overview

L Becchetti, A Clementi, E Natale - ACM SIGACT News, 2020 - dl.acm.org
The term distributed system typically refers to a set of entities, called nodes, connected by
point-topoint communication links. The set of nodes together with the set of links form a …

Stabilizing consensus with many opinions

L Becchetti, A Clementi, E Natale, F Pasquale… - Proceedings of the twenty …, 2016 - SIAM
We consider the following distributed consensus problem: Each node in a complete
communication network of size n initially holds an opinion, which is chosen arbitrarily from a …

An analysis of avalanche consensus

I Amores-Sesar, C Cachin, P Schneider - International Colloquium on …, 2024 - Springer
A family of leaderless, decentralized consensus protocols, called Snow consensus was
introduced in a recent whitepaper by Yin et al. These protocols address limitations of …

Plurality consensus in the gossip model

L Becchetti, A Clementi, E Natale, F Pasquale… - Proceedings of the twenty …, 2014 - SIAM
Abstract We study Plurality Consensus in the Model over a network of n anonymous agents.
Each agent supports an initial opinion or color. We assume that at the onset, the number of …

A polylogarithmic gossip algorithm for plurality consensus

M Ghaffari, M Parter - Proceedings of the 2016 ACM symposium on …, 2016 - dl.acm.org
Consider n anonymous nodes each initially supporting an opinion in {1, 2,…, k} and
suppose that they should all learn the opinion with the largest support. Per round, each node …

Nearly-tight analysis for 2-choice and 3-majority consensus dynamics

M Ghaffari, J Lengler - Proceedings of the 2018 ACM Symposium on …, 2018 - dl.acm.org
We present improved analyses for two of the well-studied randomized dynamics of
stabilizing consensus, namely 2-choice and 3-majority. The resulting bounds are tight up to …

Phase transitions of the k-majority dynamics in a biased communication model

E Cruciani, HA Mimun, M Quattropani… - Proceedings of the 22nd …, 2021 - dl.acm.org
Consider a graph where each of the n nodes is in one of two possible states, say or. Herein,
we analyze the synchronous k-majoritydynamics, where nodes sample k neighbors …

Balanced allocations with the choice of noise

D Los, T Sauerwald - Journal of the ACM, 2023 - dl.acm.org
We consider the allocation of m balls (jobs) into n bins (servers). In the standard Two-Choice
process, at each step t= 1, 2,..., m we first sample two randomly chosen bins, compare their …

Fast plurality consensus in regular expanders

C Cooper, T Radzik, N Rivera, T Shiraga - arxiv preprint arxiv:1605.08403, 2016 - arxiv.org
Pull voting is a classic method to reach consensus among $ n $ vertices with differing
opinions in a distributed network: each vertex at each step takes on the opinion of a random …

Asynchronous opinion dynamics in social networks

P Berenbrink, M Hoefer, D Kaaser, P Lenzner… - Distributed …, 2024 - Springer
Opinion spreading in a society decides the fate of elections, the success of products, and the
impact of political or social movements. A prominent model to study opinion formation …