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A decentralized control system with linear dynamics, quadratic cost, and Gaussian disturbances is considered. The system consists of a finite number of subsystems whose dynamics and per-step cost function are coupled through their…

Optimization and Control · Mathematics 2020-12-04 Jalal Arabneydi , Aditya Mahajan

This paper examines mean field linear-quadratic-Gaussian (LQG) social optimum control with volatility-uncertain common noise. The diffusion terms in the dynamics of agents contain an unknown volatility process driven by a common noise. We…

Optimization and Control · Mathematics 2019-12-16 Jianhui Huang , Bing-Chang Wang , Jiongmin Yong

The behaviour of multi-agent learning in many player games has been shown to display complex dynamics outside of restrictive examples such as network zero-sum games. In addition, it has been shown that convergent behaviour is less likely to…

Computer Science and Game Theory · Computer Science 2023-07-27 Aamal Hussain , Dan Leonte , Francesco Belardinelli , Georgios Piliouras

In a multi-agent system, an agent's optimal policy will typically depend on the policies chosen by others. Therefore, a key issue in multi-agent systems research is that of predicting the behaviours of others, and responding promptly to…

Multiagent Systems · Computer Science 2019-10-22 Dongge Han , Wendelin Boehmer , Michael Wooldridge , Alex Rogers

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

We investigate the Free Energy Principle as a foundation for measuring risk in agentic and multi-agent systems. From these principles we introduce a Cumulative Risk Exposure metric that is flexible to differing contexts and needs. We…

Artificial Intelligence · Computer Science 2025-02-07 Michael Walters , Rafael Kaufmann , Justice Sefas , Thomas Kopinski

In this paper, we investigate the infinite-horizon risk-constrained linear quadratic regulator problem (RC-QR), which augments the classical LQR formulation with a statistical constraint on the variability of the system state to incorporate…

Optimization and Control · Mathematics 2025-10-28 Weijian Li , Andreas A. Malikopoulos

Multi-agent reinforcement learning (RL) has important implications for the future of human-agent teaming. We show that improved performance with multi-agent RL is not a guarantee of the collaborative behavior thought to be important for…

Multiagent Systems · Computer Science 2018-07-24 Sean L. Barton , Nicholas R. Waytowich , Erin Zaroukian , Derrik E. Asher

Multi-agent systems are characterized by environmental uncertainty, varying policies of agents, and partial observability, which result in significant risks. In the context of Multi-Agent Reinforcement Learning (MARL), learning coordinated…

Multiagent Systems · Computer Science 2024-03-22 Siqi Shen , Chennan Ma , Chao Li , Weiquan Liu , Yongquan Fu , Songzhu Mei , Xinwang Liu , Cheng Wang

Due to accelerating urbanization, the importance of solving the signal control problem increases. This paper analyzes various existing methods and suggests options for increasing the number of agents to reduce the average travel time.…

Artificial Intelligence · Computer Science 2024-06-21 Maksim Tislenko , Dmitrii Kisilev

The Linear Quadratic Gaussian (LQG) problem is a classic and widely studied model in optimal control, providing a fundamental framework for designing controllers for linear systems subject to process and observation noises. In recent years,…

Optimization and Control · Mathematics 2026-03-17 Haoran Li , Xun Li , Yuan-Hua Ni , Xuebo Zhang

Using multiple agents was found to improve the debugging capabilities of Large Language Models. However, increasing the number of LLM-agents has several drawbacks such as increasing the running costs and rising the risk for the agents to…

Software Engineering · Computer Science 2025-04-28 Yacine Majdoub , Eya Ben Charrada , Haifa Touati

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

Agent benchmarks typically report only final outcomes: pass or fail. This threatens evaluation credibility in three ways. First, scores may be inflated or deflated by shortcuts and benchmark artifacts, misrepresenting capability. Second,…

We review existing approaches to mathematical modeling and analysis of multi-agent systems in which complex collective behavior arises out of local interactions between many simple agents. Though the behavior of an individual agent can be…

Robotics · Computer Science 2007-05-23 Kristina Lerman , Aram Galstyan , Tad Hogg

We formulate and analyze a multi-agent model for the evolution of individual and systemic risk in which the local agents interact with each other through a central agent who, in turn, is influenced by the mean field of the local agents. The…

Mathematical Finance · Quantitative Finance 2015-08-19 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

A multi-agent AI system (MAS) is composed of multiple autonomous agents that interact, exchange information, and make decisions based on internal generative models. Recent advances in large language models and tool-using agents have made…

Decentralized stochastic control problems with local information involve problems where multiple agents and subsystems which are coupled via dynamics and/or cost are present. Typically, however, the dynamics of such couplings is complex and…

Optimization and Control · Mathematics 2024-06-03 Zachary Selk , Serdar Yüksel

This paper studies social optimal control of mean field LQG (linear-quadratic-Gaussian) models with uncertainty. Specially, the uncertainty is represented by a uncertain drift which is common for all agents. A robust optimization approach…

Optimization and Control · Mathematics 2019-08-06 Bing-Chang Wang , Jianhui Huang , Ji-Feng Zhang

As the focus in LLM-based coding shifts from static single-step code generation to multi-step agentic interaction with tools and environments, understanding which tasks will challenge agents and why becomes increasingly difficult. This is…

Artificial Intelligence · Computer Science 2026-04-02 Chris Ge , Daria Kryvosheieva , Daniel Fried , Uzay Girit , Kaivalya Hariharan