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This paper considers the consensus problem for a network of nodes with random interactions and sampled-data control actions. We first show that consensus in expectation, in mean square, and almost surely are equivalent for a general random…

Systems and Control · Computer Science 2016-08-24 Junfeng Wu , Ziyang Meng , Tao Yang , Guodong Shi , Karl H. Johansson

Consider a distributed graph where each vertex holds one of two distinct opinions. In this paper, we are interested in synchronous voting processes where each vertex updates its opinion according to a predefined common local updating rule.…

Probability · Mathematics 2020-02-19 Nobutaka Shimizu , Takeharu Shiraga

This paper is to analyze the properties of evolving bipartite networks from four aspects, the growth of networks, the degree distribution, the popularity of objects and the diversity of user behaviours, leading a deep understanding on the…

Physics and Society · Physics 2015-10-29 Xin-Yi Lu , Jian-Hong Lin , Qiang Guo , Jian-Guo Liu

We investigate opinion dynamics in a fully-connected system, consisting of $n$ identical and anonymous agents, where one of the opinions (which is called correct) represents a piece of information to disseminate. In more detail, one source…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-20 Luca Becchetti , Andrea Clementi , Amos Korman , Francesco Pasquale , Luca Trevisan , Robin Vacus

We consider deterministic distributed algorithms for reaching agreement in synchronous networks of arbitrary topologies. Links are bi-directional and prone to failures while nodes stay non-faulty at all times. A faulty link may omit…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Bogdan S. Chlebus , Dariusz R. Kowalski , Jan Olkowski , Jedrzej Olkowski

The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and fail to capture the intricate social dynamics that arises in…

Physics and Society · Physics 2025-02-04 Anastasia Golovin , Jan Mölter , Christian Kuehn

Highly dynamic networks are characterized by frequent changes in the availability of communication links. These networks are often partitioned into several components, which split and merge unpredictably. We present a distributed algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-25 Matthieu Barjon , Arnaud Casteigts , Serge Chaumette , Colette Johnen , Yessin M. Neggaz

In social networks, interaction patterns typically change over time. We study opinion dynamics on tie-decay networks in which tie strength increases instantaneously when there is an interaction and decays exponentially between interactions.…

Social and Information Networks · Computer Science 2021-07-06 Kashin Sugishita , Mason A. Porter , Mariano Beguerisse-Díaz , Naoki Masuda

Distributed control increases system scalability, flexibility, and redundancy. Foundational to such decentralisation is consensus formation, by which decision-making and coordination are achieved. However, decentralised multi-agent systems…

Multiagent Systems · Computer Science 2024-03-11 Agathe Bouis , Christopher Lowe , Ruaridh A. Clark , Malcolm Macdonald

We study the evolution of opinions on a directed network with community structure. Individuals update their opinions synchronously based on a weighted average of their neighbors' opinions, their own previous opinions, and external media…

Probability · Mathematics 2024-01-17 Panagiotis Andreou , Mariana Olvera-Cravioto

We propose a consensus opinion model based on the evolutionary game. In our model, both of the two connected agents receive a benefit if they have the same opinion, otherwise they both pay a cost. Agents update their opinions by comparing…

Physics and Society · Physics 2018-02-14 Han-Xin Yang

We study a variant of the voter model on a coevolving network in which interactions of two individuals with differing opinions only lead to an agreement on one of these opinions with a fixed probability $q$. Otherwise, with probability…

Probability · Mathematics 2025-12-23 Raphael Eichhorn , Felix Hermann , Marco Seiler

We consider the problem of distributed learning, where a network of agents collectively aim to agree on a hypothesis that best explains a set of distributed observations of conditionally independent random processes. We propose a…

Optimization and Control · Mathematics 2017-04-12 Angelia Nedić , Alex Olshevsky , César A. Uribe

In this work, inspired by secret sharing schemes, we introduce a privacy-preserving approach for network consensus, by which all nodes in a network can reach an agreement on their states without exposing the individual state to neighbors.…

Systems and Control · Electrical Eng. & Systems 2021-03-08 Silun Zhang , Thomas Ohlson Timoudas , Munther Dahleh

We consider two optimization problems in which a planner aims to influence the average transient opinion in the Friedkin-Johnsen dynamics on a network by intervening on the agents' innate opinions. Solving these problems requires full…

Physics and Society · Physics 2025-09-04 Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Asuman Ozdaglar , Francesca Parise

The paper considers a distributed robust estimation problem over a network with Markovian randomly varying topology. The objective is to deal with network variations locally, by switching observer gains at affected nodes only. We propose…

Systems and Control · Computer Science 2015-12-07 V. Ugrinovskii

We study a tractable opinion dynamics model that generates long-run disagreements and persistent opinion fluctuations. Our model involves an inhomogeneous stochastic gossip process of continuous opinion dynamics in a society consisting of…

Social and Information Networks · Computer Science 2012-12-03 Daron Acemoglu , Giacomo Como , Fabio Fagnani , Asuman Ozdaglar

The voter model is a classical interacting particle system, modelling how global consensus is formed by local imitation. We analyse the time to consensus for a particular family of voter models when the underlying structure is a scale-free…

Probability · Mathematics 2024-01-11 John Fernley

We delve into the dynamics of opinions within a multiplex network using coordination games, where agents communicate either in a one-way or two-way interactions, and where a designated leader may be present. By employing graph theory and…

Systems and Control · Electrical Eng. & Systems 2024-02-16 Amirreza Talebi , Sayed Pedram Haeri Boroujeni , Abolfazl Razi

Traditional Byzantine consensus does not work in P2P network due to Sybil attack while the most prevalent Sybil-proof consensus at present still can't resist adversary with dominant compute power. This paper proposed opinion dynamics based…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-28 Houwu Chen , Jiwu Shu