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We study a \emph{Plurality-Consensus} process in which each of $n$ anonymous agents of a communication network initially supports an opinion (a color chosen from a finite set $[k]$). Then, in every (synchronous) round, each agent can revise…

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…

概率论 · 数学 2026-01-14 Luke Meredith , Arpan Mukhopadhyay

We present the first nearly-optimal bounds on the consensus time for the well-known synchronous consensus dynamics, specifically 3-Majority and 2-Choices, for an arbitrary number of opinions. In synchronous consensus dynamics, we consider…

分布式、并行与集群计算 · 计算机科学 2025-03-05 Nobutaka Shimizu , Takeharu Shiraga

We consider the following distributed consensus problem: Each node in a complete communication network of size $n$ initially holds an \emph{opinion}, which is chosen arbitrarily from a finite set $\Sigma$. The system must converge toward a…

分布式、并行与集群计算 · 计算机科学 2015-08-28 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Luca Trevisan

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…

分布式、并行与集群计算 · 计算机科学 2017-05-17 Mohsen Ghaffari , Johannes Lengler

Consider a graph $G$, representing a social network. Assume that initially each node is colored either black or white, which corresponds to a positive or negative opinion regarding a consumer product or a technological innovation. In the…

社会与信息网络 · 计算机科学 2021-09-30 Charlotte Out , Ahad N. Zehmakan

We study distributed plurality consensus among $n$ nodes, each of which initially holds one of $k$ opinions. The goal is to eventually agree on the initially dominant opinion. We consider an asynchronous communication model in which each…

分布式、并行与集群计算 · 计算机科学 2020-07-17 Gregor Bankhamer , Robert Elsässer , Dominik Kaaser , Matjaž Krnc

We consider distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

分布式、并行与集群计算 · 计算机科学 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker

We consider \emph{plurality consensus} in a network of $n$ nodes. Initially, each node has one of $k$ opinions. The nodes execute a (randomized) distributed protocol to agree on the plurality opinion (the opinion initially supported by the…

数据结构与算法 · 计算机科学 2016-02-04 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Chris Wastell

We consider 3-Majority, a probabilistic consensus dynamics on a complete graph with $n$ vertices, each vertex starting with one of $k$ initial opinions. At each discrete time step, a vertex $u$ is chosen uniformly at random. The selected…

分布式、并行与集群计算 · 计算机科学 2024-10-16 Colin Cooper , Frederik Mallmann-Trenn , Tomasz Radzik , Nobutaka Shimizu , Takeharu Shiraga

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…

概率论 · 数学 2024-05-01 Arpan Mukhopadhyay

We study Plurality Consensus in the Gossip 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 agents supporting the plurality color exceeds that of the…

分布式、并行与集群计算 · 计算机科学 2014-07-11 L. Becchetti , A. Clementi , E. Natale , F. Pasquale , R. Silvestri

In the voter model, each node of a graph has an opinion, and in every round each node chooses independently a random neighbour and adopts its opinion. We are interested in the consensus time, which is the first point in time where all nodes…

社会与信息网络 · 计算机科学 2016-05-31 Petra Berenbrink , George Giakkoupis , Anne-Marie Kermarrec , Frederik Mallmann-Trenn

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…

概率论 · 数学 2023-02-17 Oindrila Deb , Arpan Mukhopadhyay

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…

物理与社会 · 物理学 2016-06-24 Degang Wu , Kwok Yip Szeto

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…

物理与社会 · 物理学 2012-08-31 R. Lambiotte , M. Ausloos

In majority dynamics, agents located at the vertices of an undirected simple graph update their binary opinions synchronously by adopting those of the majority of their neighbors. On infinite unimodular transitive graphs (e.g., Cayley…

概率论 · 数学 2018-04-24 Itai Benjamini , Siu-On Chan , Ryan O'Donnell , Omer Tamuz , Li-Yang Tan

We study settings in which agents with incomplete preferences need to make a collective decision. We focus on a process of majority dynamics where issues are addressed one at a time and undecided agents follow the opinion of the majority.…

计算机科学与博弈论 · 计算机科学 2022-05-03 Sirin Botan , Simon Rey , Zoi Terzopoulou

We study the Consensus problem among $n$ agents, defined as follows. Initially, each agent holds one of two possible opinions. The goal is to reach a consensus configuration in which every agent shares the same opinion. To this end, agents…

分布式、并行与集群计算 · 计算机科学 2022-05-18 Petra Berenbrink , Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Dominik Kaaser , Malin Rau

We study information aggregation in networks when agents interact to learn a binary state of the world. Initially each agent privately observes an independent signal which is "correct" with probability $\frac{1}{2}+\delta$ for some $\delta…

计算机科学与博弈论 · 计算机科学 2025-08-12 Divyarthi Mohan , Pawel Pralat
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