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We consider a consensus algorithm in which every node in a sequence of undirected, B-connected graphs assigns equal weight to each of its neighbors. Under the assumption that the degree of each node is fixed (except for times when the node…

最优化与控制 · 数学 2012-11-09 Alex Olshevsky , John Tsitsiklis

We investigate opinion dynamics in multi-agent networks when a bias toward one of two possible opinions exists; for example, reflecting a status quo vs a superior alternative. Starting with all agents sharing an initial opinion representing…

多智能体系统 · 计算机科学 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Emilio Cruciani , Francesco Pasquale , Sara Rizzo

The problem addressed in this paper is the analysis of a distributed consensus algorithm for arbitrary networks, proposed by B\'en\'ezit et al.. In the initial setting, each node in the network has one of two possible states ("yes" or…

性能 · 计算机科学 2013-05-21 Shang Shang , Paul W. Cuff , Sanjeev R. Kulkarni , Pan Hui

We consider the \emph{exact plurality consensus} problem for \emph{population protocols}. Here, $n$ anonymous agents start each with one of $k$ opinions. Their goal is to agree on the initially most frequent opinion (the \emph{plurality…

分布式、并行与集群计算 · 计算机科学 2024-02-12 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling

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 neighbour. This method, however, suffers from two drawbacks.…

离散数学 · 计算机科学 2017-04-14 Colin Cooper , Tomasz Radzik , Nicolás Rivera , Takeharu Shiraga

We revisit the majority problem in the population protocol communication model, as first studied by Angluin et al. (Distributed Computing 2008). We consider a more general version of this problem known as plurality consensus, which has…

分布式、并行与集群计算 · 计算机科学 2025-05-06 Antoine El-Hayek , Robert Elsässer , Stefan Schmid

We consider the two-opinion voter model on a regular random graph with n vertices and degree $d \geq 3$. It is known that consensus is reached on time scale n and that on this time scale the volume of the set of vertices with one opinion…

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…

最优化与控制 · 数学 2014-07-10 Orel Ron , Michael Margaliot , Michael S. Branicky

We generalize a binary majority-vote model on adaptive networks to its plurality-vote counterpart and analyze the time scale to consensus when voters are given more than two options. When opinions are uniformly distributed in the population…

物理与社会 · 物理学 2018-05-01 Degang Wu , K. Y. Szeto

A compromise process describes the evolution of opinions through binary interactions. Opinions are real numbers, and at each step, two randomly selected agents reach a compromise by averaging their pre-interaction opinions. We prove that if…

物理与社会 · 物理学 2026-01-23 P. L. Krapivsky , A. Yu. Plakhov

We analyze the effect of interference on the convergence rate of average consensus algorithms, which iteratively compute the measurement average by message passing among nodes. It is usually assumed that these algorithms converge faster…

信息论 · 计算机科学 2015-05-20 Sundaram Vanka , Martin Haenggi , Vijay Gupta

The consensus problem, briefly stated, consists of having processes in an asynchronous distributed system agree on a value. It is widely known that the consensus problem does not have a deterministic solution that ensures both termination…

分布式、并行与集群计算 · 计算机科学 2025-07-15 Gabriel Rocha

Assume for a graph $G=(V,E)$ and an initial configuration, where each node is blue or red, in each discrete-time round all nodes simultaneously update their color to the most frequent color in their neighborhood and a node keeps its color…

数据结构与算法 · 计算机科学 2018-09-11 Ahad N. Zehmakan

Consensus decision-making in social groups strongly depends on communication links that determine to whom individuals send, and from whom they receive, information. Here, we ask how consensus decisions are affected by strategic updating of…

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

物理与社会 · 物理学 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

In this paper, we consider lightweight decentralised algorithms for achieving consensus in distributed systems. Each member of a distributed group has a private value from a fixed set consisting of, say, two elements, and the goal is for…

概率论 · 数学 2013-11-20 James Cruise , Ayalvadi Ganesh

Consider n individuals who, by popular vote, choose among q >= 2 alternatives, one of which is "better" than the others. Assume that each individual votes independently at random, and that the probability of voting for the better…

统计理论 · 数学 2014-11-25 Elchanan Mossel , Joe Neeman , Omer Tamuz

We study fault-tolerant consensus in a variant of the synchronous message passing model, where, in each round, every node can choose to be awake or asleep. This is known as the sleeping model (Chatterjee, Gmyr, Pandurangan PODC 2020) and…

分布式、并行与集群计算 · 计算机科学 2025-10-31 Shachar Meir , Hugo Mirault , David Peleg , Peter Robinson

The dynamics of an agreement protocol interacting with a disagreement process over a common random network is considered. The model can represent the spreading of true and false information over a communication network, the propagation of…

社会与信息网络 · 计算机科学 2012-08-17 Guodong Shi , Mikael Johansson , Karl Henrik Johansson

We investigate a nonlinear version of coevolving voter models, in which node states and network structure update as a coupled stochastic dynamical process. Most prior work on coevolving voter models has focused on linear update rules with…

物理与社会 · 物理学 2020-07-01 Yacoub H. Kureh , Mason A. Porter