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This paper investigates the asymptotic behavior of some common opinion dynamic models in a continuum of agents. We show that as long as the interactions among the agents are symmetric, the distribution of the agents' opinion converges. We…

动力系统 · 数学 2016-08-11 Julien M. Hendrickx , Alex Olshevsky

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

系统与控制 · 电气工程与系统科学 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

Several algorithms in prior literature have been proposed which guarantee consensus of normally behaving agents in a network that may contain adversarially behaving agents. These algorithms guarantee that the consensus value lies within the…

系统与控制 · 电气工程与系统科学 2019-06-24 James Usevitch , Dimitra Panagou

The focus of this work is on designing influencing strategies to shape the collective opinion of a network of individuals. We consider a variant of the voter model where opinions evolve in one of two ways. In the absence of external…

社会与信息网络 · 计算机科学 2020-02-04 Anmol Gupta , Sharayu Moharir , Neeraja Sahasrabudhe

Many multi-agent control algorithms and dynamic agent-based models arising in natural and social sciences are based on the principle of iterative averaging. Each agent is associated to a value of interest, which may represent, for instance,…

系统与控制 · 电气工程与系统科学 2020-07-16 Anton V. Proskurnikov , Giuseppe Calafiore , Ming Cao

We investigate a dynamical model of opinion formation in which an individual's opinion is influenced by interactions with a group of other agents. We introduce a bias towards one of the opinions in a manner not considered earlier to the…

物理与社会 · 物理学 2024-09-17 Pratik Mullick , Parongama Sen

We introduce multi-population opinion dynamics models linked to the bounded confidence model, aiming to explore how interactions between individuals contribute to the emergence of consensus, polarization, or fragmentation. Existing models…

Understanding how sustainable behaviors spread within heterogeneous societies requires the integration of behavioral data, social influence mechanisms, and structured approaches to control. In this paper, we propose a data-driven…

社会与信息网络 · 计算机科学 2025-11-17 Martina Alutto , Sofia Bellotti , Fabrizio Dabbene , Chiara Ravazzi

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

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,…

Interaction with others influences our opinions and behaviours. Our activities within various social circles lead to different opinions expressed in various situations, groups, and ways of communication. Earlier studies on agent-based…

社会与信息网络 · 计算机科学 2024-03-08 Stanisław Stępień , Jarosław Jankowski , Piotr Bródka , Radosław Michalski

We propose a generalized framework for the study of voter models in complex networks at the the heterogeneous mean-field (HMF) level that (i) yields a unified picture for existing copy/invasion processes and (ii) allows for the introduction…

物理与社会 · 物理学 2012-03-20 Paolo Moretti , Suyu Liu , Andrea Baronchelli , Romualdo Pastor-Satorras

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…

分布式、并行与集群计算 · 计算机科学 2020-10-13 Bernadette Charron-Bost , Patrick Lambein-Monette

This paper studies the opinion dynamics model recently introduced by Hegselmann and Krause: each agent in a group maintains a real number describing its opinion; and each agent updates its opinion by averaging all other opinions that are…

数学物理 · 物理学 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

物理与社会 · 物理学 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

We present a stochastic imitation-based model of opinion dynamics in which agents balance social conformity with responsiveness to an external signal. The model captures how populations evolve between two binary opinion states, driven by…

物理与社会 · 物理学 2025-08-12 Federica De Domenico , Fabio Caccioli , Giacomo Livan

In the evolving voter model, when an individual interacts with a neighbor having an opinion different from theirs, they will with probability $1-\alpha$ imitate the neighbor but with probability $ \alpha$ will sever the connection and…

概率论 · 数学 2016-06-28 Anirban Basak , Rick Durrett , Yuan Zhang

Collective decision making processes lie at the heart of many social, political and economic challenges. The classical voter model is a well-established conceptual model to study such processes. In this work, we define a new form of…

适应与自组织系统 · 物理学 2020-02-19 Leonhard Horstmeyer , Christian Kuehn

We study a model for social influence in which the agents' opinion is a continuous variable [G. Weisbuch et al., Complexity \textbf{7}, 2, 55 (2002)]. The convergent opinion adjustment process takes place as a result of random binary…

统计力学 · 物理学 2007-05-23 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

We consider a modification of the adaptive contact process which, interpreted in the context of opinion dynamics, breaks the symmetry of the coevolutionary voter model by assigning to each node type a different strategy to promote…

适应与自组织系统 · 物理学 2013-12-30 Stefan Wieland , Ana Nunes