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In a previous paper we proposed a model to study the dynamics of opinion formation in human societies by a co-evolution process involving two distinct time scales of fast transaction and slower network evolution dynamics. In the transaction…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , Rafael A. Barrio , János Kertész , Kimmo K. Kaski

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…

In a sensor network, in practice, the communication among sensors is subject to:(1) errors or failures at random times; (3) costs; and(2) constraints since sensors and networks operate under scarce resources, such as power, data rate, or…

Information Theory · Computer Science 2009-11-13 Soummya Kar , Jose M. F. Moura

In this article, we investigate the asymptotic formation of consensus for several classes of time-dependent cooperative graphon dynamics. After motivating the use of this type of macroscopic models to describe multi-agent systems, we adapt…

Optimization and Control · Mathematics 2023-05-03 Benoît Bonnet , Nastassia Pouradier Duteil , Mario Sigalotti

The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology, we study opinion formation using a…

Physics and Society · Physics 2026-05-19 Tim Mauch , Thilo Gross

We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a…

Probability · Mathematics 2019-09-20 Nina Gantert , Markus Heydenreich , Timo Hirscher

The leader-following consensus of multiple linear time invariant (LTI) systems under switching topology is considered. The leader-following consensus problem consists of designing for each agent a distributed protocol to make all agents…

Optimization and Control · Mathematics 2012-11-08 Wei Ni , Xiaoli Wang , Chun Xiong

We investigate consensus formation and the asymptotic consensus times in stylized individual- or agent-based models, in which global agreement is achieved through pairwise negotiations with or without a bias. Considering a class of…

Physics and Society · Physics 2011-06-30 W. Zhang , C. Lim , S. Sreenivasan , J. Xie , B. K. Szymanski , G. Korniss

In this paper, we study the robust consensus problem for a set of discrete-time linear agents to coordinate over an uncertain communication network, which is to achieve consensus against the transmission errors and noises resulted from the…

Systems and Control · Computer Science 2017-03-30 Zhongkui Li , Jie Chen

The convergence of opinions in the Friedkin-Johnsen (FJ) framework is well studied, but the topological conditions leading to opinion clustering remain less explored. To bridge this gap, we examine the role of topology in the emergence of…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Aashi Shrinate , Twinkle Tripathy

We propose a modified Vicsek-like model to study influence dynamics and opinion formation in social networks. We work on the premise that opinions of members of a group may be considered to be analogous to the direction of motion of a…

Social and Information Networks · Computer Science 2018-09-03 Narayani Vedam , Debasish Ghose

Consensus is one of the most fundamental problems in distributed computing. This paper studies the consensus problem in a synchronous dynamic directed network, in which communication is controlled by an oblivious message adversary. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-06 Hugo Rincon Galeana , Ulrich Schmid , Kyrill Winkler , Ami Paz , Stefan Schmid

Recently, significant attention has been dedicated to the models of opinion dynamics in which opinions are described by real numbers, and agents update their opinions synchronously by averaging their neighbors' opinions. The neighbors of…

Dynamical Systems · Mathematics 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

In this study a consensus building process based on a combination of Analytic Hierarchy Process (AHP) and Delphi method is presented and applied to the decision-making process about alternative policy measures to promote cycling mobility.…

Physics and Society · Physics 2015-11-20 Michela Le Pira , Giuseppe Inturri , Matteo Ignaccolo , Alessandro Pluchino

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.…

Physics and Society · Physics 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

We investigate opinion dynamics and information spreading on networks under the influence of content filtering technologies. The filtering mechanism, present in many online social platforms, reduces individuals' exposure to disagreeing…

Physics and Society · Physics 2024-01-26 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

When networked systems of autonomous agents carry out complex tasks, the control and coordination sought after generally depend on a few fundamental control primitives. Chief among these primitives is consensus, where agents are to converge…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-13 Bernadette Charron-Bost , Patrick Lambein-Monette

This paper introduces a model of self-organization between communication and topology in social networks, with a feedback between different communication habits and the topology. To study this feedback, we let agents communicate to build a…

Physics and Society · Physics 2007-05-23 M. Rosvall , K. Sneppen

Physical social encounters are governed by a set of socio-psychological behavioral rules with a high degree of uniform validity. Past research has shown how these rules or the resulting properties of the encounters (e.g. the geometry of…

Social and Information Networks · Computer Science 2014-09-30 Daniel Raumer , Christoph Fuchs , Georg Groh
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