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We discuss a crowd-based theory for describing the collective behavior in Complex Systems comprising multi-agent populations competing for a limited resource. These systems -- whose binary versions we refer to as B-A-R (Binary Agent…

Statistical Mechanics · Physics 2007-05-23 Neil F. Johnson , Sehyo C. Choe , Sean Gourley , Timothy Jarrett , Pak Ming Hui

This chapter presents the main lines of agent based modeling in the field of medical research. The general diagram consists of a cohort of patients (virtual or real) whose evolution is observed by means of so-called evolution models.…

Artificial Intelligence · Computer Science 2022-05-23 Philippe Saint-Pierre , Romain Demeulemeester , Nadège Costa , Nicolas Savy

Persistence of motion is the tendency of an object to maintain motion in a direction for short time scales without necessarily being biased in any direction in the long term. One of the most appropriate mathematical tools to study this…

Soft Condensed Matter · Physics 2018-04-04 Enrico Gavagnin , Christian A. Yates

Markov Population Models are a widespread formalism used to model the dynamics of complex systems, with applications in Systems Biology and many other fields. The associated Markov stochastic process in continuous time is often analyzed by…

Machine Learning · Computer Science 2021-06-25 Francesca Cairoli , Ginevra Carbone , Luca Bortolussi

Integrating theoretical neuroscience, decision theory, and probabilistic inference offers a promising route to understanding human cognition, yet concrete methodological bridges between agentic AI models and behavioral data analysis remain…

Neurons and Cognition · Quantitative Biology 2026-05-01 Dirk Ostwald , Rasmus Bruckner , Franziska Usée , Belinda Fleischmann , Joram Soch , Sean Mulready

When modeling a social dynamics with an agent-oriented approach, researchers have to describe the structure of interactions within the population. Given the intractability of extensive network collecting, they rely on random network…

Social and Information Networks · Computer Science 2020-03-05 Samuel Thiriot

We introduce an agent-based model for co-evolving opinion and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable.…

Dynamical Systems · Mathematics 2022-10-05 Natasa Djurdjevac Conrad , Jonas Köppl , Ana Djurdjevac

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

In macroeconomics, an emerging discussion of alternative monetary systems addresses the dimensions of systemic risk in advanced financial systems. Monetary regime changes with the aim of achieving a more sustainable financial system have…

General Economics · Economics 2023-01-11 Florian Peters , Doris Neuberger , Oliver Reinhardt , Adelinde Uhrmacher

The general picture of game theoretic modeling dealt with here is characterized by a set of big players, also referred to as principals or major agents, acting on the background of large pools of small players, the impact of the behavior of…

Optimization and Control · Mathematics 2019-11-12 Vassili N. Kolokoltsov , Oleg A. Malafeyev

This thesis presents the theoretical, conceptual and methodological aspects that support the modeling of dynamical systems (DS) by using several agents. The modeling approach permits the assessment of properties representing order, change,…

Multiagent Systems · Computer Science 2016-06-03 Nelson Fernandez

Molecular dynamics simulations have the potential to provide atomic-level detail and insight to important questions in chemical physics that cannot be observed in typical experiments. However, simply generating a long trajectory is…

Chemical Physics · Physics 2015-06-22 Christian R. Schwantes , Robert T. McGibbon , Vijay S. Pande

Interest in agent-based models of financial markets and the wider economy has increased consistently over the last few decades, in no small part due to their ability to reproduce a number of empirically-observed stylised facts that are not…

Computational Finance · Quantitative Finance 2019-02-18 Donovan Platt

Agent-based modeling (ABM) provides a powerful framework for exploring how individual behaviors and interactions give rise to collective social dynamics. However, most ABMs rely on handcrafted or parameterized agent rules that are not…

Social and Information Networks · Computer Science 2026-01-21 Abdul Sittar , Miha Cesnovar , Alenka Gucek , Marko Grobelnik

Agent-based models (ABMs) simulate complex systems by capturing the bottom-up interactions of individual agents comprising the system. Many complex systems of interest, such as epidemics or financial markets, involve thousands or even…

We argue that establishing the phase diagram of Agent Based Models (ABM) is a crucial first step, together with a qualitative understanding of how collective phenomena come about, before any calibration or more quantitative predictions are…

Theoretical Economics · Economics 2024-12-17 Jean-Philippe Bouchaud

The biologically-inspired swarm paradigm is being used to design self-organizing systems of locally interacting artificial agents. A major difficulty in designing swarms with desired characteristics is understanding the causal relation…

Multiagent Systems · Computer Science 2016-11-17 Aram Galstyan , Tad Hogg , Kristina Lerman

The emergence of Large Language Models (LLMs) with increasingly sophisticated natural language understanding and generative capabilities has sparked interest in the Agent-based Modelling (ABM) community. With their ability to summarize,…

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

The rise of multi-agent systems powered by large language models (LLMs) and specialized reasoning agents exposes fundamental limitations in today's data management architectures. Traditional databases and data fabrics were designed for…

Multiagent Systems · Computer Science 2025-12-11 Ioana Giurgiu , Michael E. Nidd