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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

For Agent Based Models, in particular the Voter Model (VM), a general framework of aggregation is developed which exploits the symmetries of the agent network $G$. Depending on the symmetry group $Aut_{\omega} (N)$ of the weighted agent…

物理与社会 · 物理学 2015-03-25 Sven Banisch , Ricardo Lima

Dynamical complex systems composed of interactive heterogeneous agents are prevalent in the world, including urban traffic systems and social networks. Modeling the interactions among agents is the key to understanding and predicting the…

多智能体系统 · 计算机科学 2024-10-30 Siyuan Chen , Jiahai Wang

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

A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

多智能体系统 · 计算机科学 2020-07-03 Orowa Sikder

The heterogeneity of the influence processes is an important feature of social systems: how we perceive social influence and how we influence other individuals is heavily influenced by our opinion and non-opinion attributes. The latter…

社会与信息网络 · 计算机科学 2022-09-07 Ivan V. Kozitsin

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

物理与社会 · 物理学 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

Complex networks, comprised of individual elements that interact with each other through reaction channels, are ubiquitous across many scientific and engineering disciplines. Examples include biochemical, pharmacokinetic, epidemiological,…

数学物理 · 物理学 2013-06-14 John Goutsias , Garrett Jenkinson

This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM dynamics as a micro description of the process, we show how…

适应与自组织系统 · 物理学 2011-08-10 Sven Banisch , Ricardo Lima , Tanya Araújo

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

In this paper, the effect on collective opinions of filtering algorithms managed by social network platforms is modeled and investigated. A stochastic multi-agent model for opinion dynamics is proposed, that accounts for a centralized…

社会与信息网络 · 计算机科学 2018-07-10 P. Bolzern , P. Colaneri , G. De Nicolao

When opinion spread is studied, peer pressure is often modeled by interactions of more than two individuals (higher-order interactions). In our work, we introduce a two-layer random hypergraph model, in which hyperedges represent households…

社会与信息网络 · 计算机科学 2025-12-30 Ágnes Backhausz , Villő Csiszár , Balázs Csegő Kolok , Damján Tárkányi , András Zempléni

We study stochastic pairwise interaction network systems whereby a finite population of agents, identified with the nodes of a graph, update their states in response to both individual mutations and pairwise interactions with their…

系统与控制 · 电气工程与系统科学 2024-10-31 Giacomo Como , Fabio Fagnani , Sandro Zampieri

We analyze the dynamics of agent--based models (ABMs) from a Markovian perspective and derive explicit statements about the possibility of linking a microscopic agent model to the dynamical processes of macroscopic observables that are…

适应与自组织系统 · 物理学 2012-07-11 Sven Banisch , Ricardo Lima , Tanya Araújo

Markov chains are fundamental models for stochastic dynamics, with applications in a wide range of areas such as population dynamics, queueing systems, reinforcement learning, and Monte Carlo methods. Estimating the transition matrix and…

统计理论 · 数学 2026-01-26 Lasse Leskelä , Maximilien Dreveton

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

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

The adaptive voter model allows for studying the interplay between homophily, the tendency of like-minded individuals to attract each other, and social influence, the tendency for connected individuals to influence each other. However, it…

物理与社会 · 物理学 2023-03-21 Nikos Papanikolaou , Renaud Lambiotte , Giacomo Vaccario

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

统计方法学 · 统计学 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

This study investigates adversarial attacks conducted to distort voter model dynamics in complex networks. Specifically, a simple adversarial attack method is proposed to hold the state of opinions of an individual closer to the target…

物理与社会 · 物理学 2022-07-07 Katsumi Chiyomaru , Kazuhiro Takemoto
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