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Emerging infectious diseases and climate change are two of the major challenges in 21st century. Although over the past decades, highly-resolved mathematical models have contributed in understanding dynamics of infectious diseases and are…

Populations and Evolution · Quantitative Biology 2025-10-13 Julia Bicker , René Schmieding , Michael Meyer-Hermann , Martin J. Kühn

Agent-based modeling (ABM) is a principal approach for studying complex systems. By decomposing a system into simpler, interacting agents, agent-based modeling (ABM) allows researchers to observe the emergence of complex phenomena.…

Multiagent Systems · Computer Science 2025-10-17 Siddharth Chaturvedi , Ahmed El-Gazzar , Marcel van Gerven

In this article we discuss some of the consequences of the mixed membership perspective on time series analysis. In its most abstract form, a mixed membership model aims to associate an individual entity with some set of attributes based on…

Methodology · Statistics 2013-09-16 Emily B. Fox , Michael I. Jordan

We propose a probabilistic modeling framework for learning the dynamic patterns in the collective behaviors of social agents and developing profiles for different behavioral groups, using data collected from multiple information sources.…

Machine Learning · Statistics 2016-06-28 Lin Li , Ananthram Swami , Anna Scaglione

We extend prior evidence that naively using intraday agent-based models that involve realistic order-matching processes for modeling continuous-time double auction markets seems to fail to be able to provide a robust link between data and…

Computational Finance · Quantitative Finance 2018-10-08 Donovan Platt , Tim Gebbie

We propose a Markov jump process with the three-state herding interaction. We see our approach as an agent-based model for the financial markets. Under certain assumptions this agent-based model can be related to the stochastic description…

Trading and Market Microstructure · Quantitative Finance 2013-02-05 Aleksejus Kononovicius , Vygintas Gontis

Macroscopic price evolution models are commonly used for investment strategies. There are first promising achievements in defining microscopic agent based models for the same purpose. Microscopic models allow a deeper understanding of…

Pricing of Securities · Quantitative Finance 2011-03-29 Sebastian M. Krause , Stefan Bornholdt

A discrete time stochastic model for a multiagent system given in terms of a large collection of interacting Markov chains is studied. The evolution of the interacting particles is described through a time inhomogeneous transition…

Probability · Mathematics 2011-06-17 Amarjit Budhiraja , Pierre Del Moral , Sylvain Rubenthaler

Agent-based modeling and simulation has evolved as a powerful tool for modeling complex systems, offering insights into emergent behaviors and interactions among diverse agents. Integrating large language models into agent-based modeling…

Artificial Intelligence · Computer Science 2023-12-20 Chen Gao , Xiaochong Lan , Nian Li , Yuan Yuan , Jingtao Ding , Zhilun Zhou , Fengli Xu , Yong Li

Collective motion in active matter is usually modelled through instantaneous local alignment, where each agent updates its heading from the current configuration of its neighbours. Many biological and engineered agents, however, possess…

Physics and Society · Physics 2026-05-11 Jyotiranjan Beuria

In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

Populations and Evolution · Quantitative Biology 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani

Agent-based models (ABMs) are widely used to model coupled natural-human systems. Descriptive models require careful calibration with observed data. However, ABMs are often not calibrated in a statistical sense. Here we examine the impact…

Applications · Statistics 2019-11-01 Vivek Srikrishnan , Klaus Keller

Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals can lead to emergent dynamics on the macroscopic scale, for instance a…

Physics and Society · Physics 2023-08-02 Luzie Helfmann , Jobst Heitzig , Péter Koltai , Jürgen Kurths , Christof Schütte

Skin contraction is an important biophysical process that takes place during and after the recovery of deep tissue injury. This process is mainly caused by fibroblasts (skin cells) and myofibroblasts (differentiated fibroblasts) that exert…

Numerical Analysis · Mathematics 2021-05-20 Q. Peng , F. J. Vermolen

We propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

Physics and Society · Physics 2015-06-22 Sanchari Goswami , Parongama Sen

A micro-level agent-based model of innovation diffusion was developed that explicitly combines (a) an individual's perception of the advantages or relative utility derived from adoption, and (b) social influence from members of the…

Social and Information Networks · Computer Science 2015-06-12 Carlos E. Laciana , Santiago L. Rovere , Guillermo P. Podestá

We derive Markovian master equations of single and interacting harmonic systems in different scenarios, including strong internal coupling. By comparing the dynamics resulting from the corresponding Markovian master equations with exact…

Quantum Physics · Physics 2010-11-18 Ángel Rivas , A. Douglas K. Plato , Susana F. Huelga , Martin B. Plenio

We formalise and study multi-agent timed models MAPTs (Multi-Agent with timed Periodic Tasks), where each agent is associated to a regular timed schema upon which all possibles actions of the agent rely. MAPTs allow for an accelerated…

Multiagent Systems · Computer Science 2019-11-19 Johan Arcile , Raymond Devillers , Hanna Klaudel

Modelling how shocks propagate in supply chains is an increasingly important challenge in economics. Its relevance has been highlighted in recent years by events such as Covid-19 and the Russian invasion of Ukraine. Agent-based models…

Physics and Society · Physics 2025-11-10 Saad Hamid , José Moran , Luca Mungo , Arnau Quera-Bofarull , Sebastian Towers

In this paper, we analyze the behavior of a multi-agent system driven by the interactions of agents within a competitive environment. To achieve this, we describe the transition probabilities that underlie the system's stochastic nature. We…

Multiagent Systems · Computer Science 2024-12-23 Mohammad Daneshvar , Mandana Delavari