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We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…

Consider the following process on a network: Each agent initially holds either opinion blue or red; then, in each round, each agent looks at two random neighbors and, if the two have the same opinion, the agent adopts it. This process is…

社会与信息网络 · 计算机科学 2020-11-17 Emilio Cruciani , Emanuele Natale , André Nusser , Giacomo Scornavacca

In this paper, we investigate the approximate consensus problem in highly dynamic networks in which topology may change continually and unpredictably. We prove that in both synchronous and partially synchronous systems, approximate…

分布式、并行与集群计算 · 计算机科学 2014-11-13 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

We introduce a 2-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of…

统计力学 · 物理学 2009-11-10 P. L. Krapivsky , S. Redner

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

概率论 · 数学 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

Reaching consensus -- a macroscopic state where the system constituents display the same microscopic state -- is a necessity in multiple complex socio-technical and techno-economic systems: their correct functioning ultimately depends on…

社会与信息网络 · 计算机科学 2022-03-22 Edoardo Fadda , Junda He , Claudio Tessone , Paolo Barucca

We introduce the confident voter model, in which each voter can be in one of two opinions and can additionally have two levels of commitment to an opinion --- confident and unsure. Upon interacting with an agent of a different opinion, a…

物理与社会 · 物理学 2015-03-19 D. Volovik , S. Redner

Error-correcting codes are efficient methods for handling \emph{noisy} communication channels in the context of technological networks. However, such elaborate methods differ a lot from the unsophisticated way biological entities are…

分布式、并行与集群计算 · 计算机科学 2016-05-24 Pierre Fraigniaud , Emanuele Natale

We study consensus formation in interacting systems that evolve by multi-state majority rule and by plurality rule. In an update event, a group of G agents (with G odd), each endowed with an s-state spin variable, is specified. For majority…

统计力学 · 物理学 2009-11-11 P. Chen , S. Redner

There has recently been a surge of interest in the computational and complexity properties of the population model, which assumes $n$ anonymous, computationally-bounded nodes, interacting at random, and attempting to jointly compute global…

分布式、并行与集群计算 · 计算机科学 2022-01-12 Dan Alistarh , Martin Töpfer , Przemysław Uznański

Majority-vote model is a much-studied model for social opinion dynamics of two competing opinions. With the recent appreciation that our social network comprises a variety of different layers forming a multiplex network, a natural question…

物理与社会 · 物理学 2019-05-22 Jeehye Choi , K. -I. Goh

Consider an undirected graph G, representing a social network, where each node is blue or red, corresponding to positive or negative opinion on a topic. In the voter model, in discrete time rounds, each node picks a neighbour uniformly at…

社会与信息网络 · 计算机科学 2025-06-03 Abhiram Manohara , Ahad N. Zehmakan

There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept…

物理与社会 · 物理学 2019-07-24 Isaac Klickstein , Louis Pecora , Francesco Sorrentino

We introduce two models of consensus following a majority rule on time-evolving stochastic block models (SBM), in which the network evolution is Markovian or non-Markovian. Under the majority rule, in each round, each agent simultaneously…

概率论 · 数学 2022-09-12 Haoyu Wang , Jiaheng Wei , Zhenyuan Zhang

Opinion dynamics has recently been modeled from a game-theoretic perspective, where opinion updates are captured by individuals' cost functions representing their motivations. Conventional formulations aggregate multiple motivations into a…

系统与控制 · 电气工程与系统科学 2025-11-11 Yuheng Luo , Chuanzhe Zhang , Qingsong Liu , Hai Zhu , Wenjun Mei

The outcomes of democratic elections rest on individuals' decision-making that is driven by their varying preferences and beliefs. Individuals may prefer consensus to gridlock, or gridlock to consensus, and information may be fractured via…

物理与社会 · 物理学 2024-10-29 Jonathan Engle , Bryce Morsky

For a group of autonomous communicating agents, the ability to distinguish a meaningful input from disturbance, and come to collective agreement or disagreement in response to that input, is paramount for carrying out coordinated…

最优化与控制 · 数学 2023-11-07 Anastasia Bizyaeva , Timothy Sorochkin , Alessio Franci , Naomi Ehrich Leonard

Observational learning is an important information aggregation mechanism. However, it occasionally leads to a state in which an entire population chooses a sub-optimal option. When it occurs and whether it is a phase transition remain…

物理与社会 · 物理学 2012-11-13 Shintaro Mori , Masato Hisakado , Taiki Takahashi

People's opinions evolve over time as they interact with their friends, family, colleagues, and others. In the study of opinion dynamics on networks, one often encodes interactions between people in the form of dyadic relationships, but…

社会与信息网络 · 计算机科学 2021-08-11 Abigail Hickok , Yacoub Kureh , Heather Z. Brooks , Michelle Feng , Mason A. Porter

We introduce a socially motivated extension of the voter model in which individual voters are also influenced by two opposing, fixed-opinion news sources. These sources forestall consensus and instead drive the population to a politically…

物理与社会 · 物理学 2020-01-27 Deepak Bhat , S. Redner