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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

An important aspect in jointly analysing networked control systems and their communication is to model the networking in a sufficiently rich but at the same time mathematically tractable way. As such, this paper improves on a recently…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Christian Hespe , Herbert Werner

We propose a simple model that describes the dynamics of efficiencies of competing agents. Agents communicate leading to increase of efficiencies of underachievers, and an efficiency of each agent can increase or decrease irrespectively of…

Statistical Mechanics · Physics 2009-10-31 S. N. Majumdar , P. L. Krapivsky

The paper presents a multi-resource load balancing strategy which can be utilised within an agent-based system. This approach can assist system designers in their attempts to optimise the structure for complex enterprise architectures. In…

Multiagent Systems · Computer Science 2025-11-25 Leszek Sliwko , Aleksander Zgrzywa

We present a game of interacting agents which mimics the complex dynamics found in many natural and social systems. These agents modify their strategies periodically, depending on their performances using genetic crossover mechanisms,…

Statistical Mechanics · Physics 2009-11-10 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

A dynamical model for the distribution of resources between competing agents is studied. While global competition leads to the accumulation of all the resources by a single agent, local competition allows for a wider resource distribution.…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Damian H. Zanette

Analysing learning in Multi-Agent Reinforcement Learning (MARL) environments is challenging, in particular with respect to \textit{individual} decision-making. Practitioners frequently struggle to compare training runs due to the inherent…

Multiagent Systems · Computer Science 2026-05-29 James Rudd-Jones , María Pérez-Ortiz , Mirco Musolesi

Human behavior in interactive settings is shaped not only by individual objectives but also by shared constraints with others, such as safety. Understanding how people allocate responsibility, i.e., how much one deviates from their desired…

Multiagent Systems · Computer Science 2026-04-16 Isaac Remy , Caleb Chang , Karen Leung

We review the statistical mechanics approach to the study of the emerging collective behavior of systems of heterogeneous interacting agents. The general framework is presented through examples is such contexts as ecosystem dynamics and…

Physics and Society · Physics 2007-05-23 Andrea De Martino , Matteo Marsili

A complex system is made up of many components with many interactions. So the design of systems such as simulation systems, cooperative systems or assistance systems includes a very accurate modelling of interactional and communicational…

Multiagent Systems · Computer Science 2012-01-19 Alain-Jérôme Fougères

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

Reinforcement learning algorithms can train agents that solve problems in complex, interesting environments. Normally, the complexity of the trained agent is closely related to the complexity of the environment. This suggests that a highly…

Artificial Intelligence · Computer Science 2018-03-16 Trapit Bansal , Jakub Pachocki , Szymon Sidor , Ilya Sutskever , Igor Mordatch

We consider stochastic model predictive control of a multi-agent systems with constraints on the probabilities of inter-agent collisions. We first study a sample-based approximation of the collision probabilities and use this approximation…

Systems and Control · Computer Science 2011-08-17 Daniel Lyons , Jan-P. Calliess , Uwe D. Hanebeck

We consider a dynamical network model in which two competitors have fixed and different states, and each normal agent adjusts its state according to a distributed consensus protocol. The state of each normal agent converges to a steady…

Physics and Society · Physics 2014-05-21 Jiuhua Zhao , Qipeng Liu , Xiaofan Wang

This paper presents a simple agent-based model of an economic system, populated by agents playing different games according to their different view about social cohesion and tax payment. After a first set of simulations, correctly…

General Finance · Quantitative Finance 2018-09-24 L. S. Di Mauro , A. Pluchino , A. E. Biondo

We study the multi-scale description of large-time collective behavior of agents driven by alignment. The resulting multi-flock dynamics arises naturally with realistic initial configurations consisting of multiple spatial scaling, which in…

Analysis of PDEs · Mathematics 2020-03-11 Roman Shvydkoy , Eitan Tadmor

We focus on how individual behavior that complies with social norms interferes with performance-based incentive mechanisms in organizations with multiple distributed decision-making agents. We model social norms to emerge from interactions…

General Economics · Economics 2021-02-25 Ravshanbek Khodzhimatov , Stephan Leitner , Friederike Wall

We discuss recent work in the study of a simple model for the collective behaviour of diverse speculative agents in an idealized stockmarket, considered from the perspective of the statistical physics of many-body systems. The only…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. P. Garrahan , E. Moro , D. Sherrington

Multi-agent approach has become popular in computer science and technology. However, the conventional models of multi-agent and multicomponent systems implicitly or explicitly assume existence of absolute time or even do not include time in…

Multiagent Systems · Computer Science 2017-11-23 Mark Burgin

We present our preliminary work on a multi-agent system involving the complex human phenomena of identity and dynamic teams. We outline our ongoing experimentation into understanding how these factors can eliminate some of the naive…

Multiagent Systems · Computer Science 2023-01-05 Kyle Tilbury , Jesse Hoey