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In many real-world complex systems, the time-evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here, we study opinion formation and imitation on an adaptive complex network which is dependent on…

物理与社会 · 物理学 2016-04-11 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Wolfgang Lucht , Jürgen Kurths

We investigate a majority-vote model on two-layer multiplex networks with community structure. In our majority-vote model, the edges on each layer encode one type of social relationship and an individual changes their opinion based on the…

物理与社会 · 物理学 2022-06-29 Kaiyan Peng , Mason A. Porter

The voter model rules are simple, with agents copying the state of a random neighbor, but they lead to non-trivial dynamics. Besides opinion processes, the model has also applications for catalysis and species competition. Inspired by the…

物理与社会 · 物理学 2018-09-13 Oriol Artime , Juan Fernandez-Gracia , Jose J. Ramasco , Maxi San Miguel

We introduce a coevolution voter model in a multilayer, by coupling a fraction of nodes across two network layers and allowing each layer to evolve according to its own topological temporal scale. When these time scales are the same the…

物理与社会 · 物理学 2014-08-13 Marina Diakonova , Maxi San Miguel , Victor M. Eguiluz

A hybrid model for opinion dynamics in complex multi-agent networks is introduced, wherein some continuous-valued agents average neighbors' opinions to update their own, while other discrete-valued agents use stochastic copying and voting…

系统与控制 · 计算机科学 2019-04-01 Mengran Xue , Sandip Roy

We consider voter dynamics on a directed adaptive network with fixed out-degree distribution. A transition between an active phase and a fragmented phase is observed. This transition is similar to the undirected case if the networks are…

适应与自组织系统 · 物理学 2012-04-17 Gerd Zschaler , Gesa A. Böhme , Michael Seißinger , Cristián Huepe , Thilo Gross

We consider a discrete-time voter model process on a set of nodes, each being in one of two states, either 0 or 1. In each time step, each node adopts the state of a randomly sampled neighbor according to sampling probabilities, referred to…

最优化与控制 · 数学 2022-11-28 Milan Vojnovic , Kaifang Zhou

The voter model is a classical interacting particle system modelling how consensus is formed across a network. We analyse the time to consensus for the voter model when the underlying graph is a subcritical scale-free random graph.…

概率论 · 数学 2020-06-02 John Fernley , Marcel Ortgiese

We survey the coevolutionary dynamics of network topology and group interactions in opinion formation, grounded on a coevolving nonlinear voter model. The coevolving nonlinear voter model incorporates two mechanisms: group interactions…

物理与社会 · 物理学 2023-11-13 Byungjoon Min

We study an adaptive network model driven by a nonlinear voter dynamics. Each node in the network represents a voter and can be in one of two states that correspond to different opinions shared by the voters. A voter disagreeing with its…

Multilayer networks provide a framework to study complex systems with multiple types of interactions, multiple dynamical processes, and/or multiple subsystems. When studying a dynamical process on a multilayer network, it is important to…

物理与社会 · 物理学 2025-09-25 Suman S. Kulkarni , Christopher W. Lynn , Mason A. Porter , Dani S. Bassett

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…

物理与社会 · 物理学 2025-02-04 Anastasia Golovin , Jan Mölter , Christian Kuehn

The inference of outcomes in dynamic processes from structural features of systems is a crucial endeavor in network science. Recent research has suggested a machine learning-based approach for the interpretation of dynamic patterns emerging…

物理与社会 · 物理学 2022-11-15 Aruane M. Pineda , Caroline L. Alves , Colm Connaughton , Francisco A. Rodrigues

We study multidimensional opinion dynamics under confirmation bias in social networks. Each agent holds a vector of correlated opinions across multiple topic layers. Peer interaction is modeled through a static, informationally symmetric…

系统与控制 · 电气工程与系统科学 2026-03-24 M. Hossein Abedinzadeh , Emrah Akyol

In this paper, we propose a statistical aggregation method for agent-based models with heterogeneous agents that interact both locally on a complex adaptive network and globally on a market. The method combines three approaches from…

理论经济学 · 经济学 2020-11-04 Jakob J. Kolb , Finn Müller-Hansen , Jürgen Kurths , Jobst Heitzig

We study opinion dynamics over a directed multilayer network. In particular, we consider networks in which the impact of neighbors of agents on their opinions is proportional to their in-degree. Agents update their opinions over time to…

物理与社会 · 物理学 2024-07-26 Amirreza Talebi

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

We study a generalization of the voter model on complex networks, focusing on the scaling of mean exit time. Previous work has defined the voter model in terms of an initially chosen node and a randomly chosen neighbor, which makes it…

统计力学 · 物理学 2015-05-13 Casey M. Schneider-Mizell , Leonard M. Sander

We study the behavior of a generalized consensus dynamics on a temporal network of interactions, the activity driven network with attractiveness. In this temporal network model, agents are endowed with an intrinsic activity $a$, ruling the…

物理与社会 · 物理学 2018-08-15 Antoine Moinet , Alain Barrat , Romualdo Pastor Satorras

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
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