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We investigate the existence of an optimal policy to monitor a mean field systems of agents managing a risky project under moral hazard with accidents modeled by L\'evy processes magnified by the law of the project. We provide a general…

Optimization and Control · Mathematics 2022-07-25 Thibaut Mastrolia , Jiacheng Zhang

Many challenges remain before AI agents can be deployed in real-world environments. However, one virtue of such environments is that they are inherently multi-agent and contain human experts. Using advanced social intelligence in such an…

Machine Learning · Computer Science 2025-08-22 Eric Ye , Ren Tao , Natasha Jaques

Multi-agent systems driven by large language models (LLMs) have shown promising abilities for solving complex tasks in a collaborative manner. This work considers a fundamental problem in multi-agent collaboration: consensus seeking. When…

Computation and Language · Computer Science 2025-01-22 Huaben Chen , Wenkang Ji , Lufeng Xu , Shiyu Zhao

In this paper we consider an optimal control problem for a large population of interacting agents with deterministic dynamics, aggregating potential and constraints on reciprocal distances, in dimension 1. We study existence and qualitative…

Analysis of PDEs · Mathematics 2021-05-26 Annalisa Cesaroni , Marco Cirant

In hybrid populations where humans delegate strategic decision-making to autonomous agents, understanding when and how cooperative behaviors can emerge remains a key challenge. We study this problem in the context of energy load management:…

Multiagent Systems · Computer Science 2026-03-13 Isuri Perera , Frits de Nijs , Julian Garcia

In this paper we consider the problem of controlling the dynamic behavior of a multi-robot system while interacting with the environment. In particular, we propose a general methodology that, by means of locally scaling inter-robot coupling…

Robotics · Computer Science 2018-01-04 Lorenzo Sabattini , Cristian Secchi , Cesare Fantuzzi

In this paper, we consider the cooperative output regulation problem for heterogeneous linear multi-agent systems in the presence of communication constraints. Under standard assumptions on the agents dynamics, we propose a distributed…

Systems and Control · Computer Science 2016-10-06 Abdelkader Abdessameud , Abdelhamid Tayebi

This paper addresses the limitations of a single agent in task decomposition and collaboration during complex task execution, and proposes a multi-agent architecture for modular task decomposition and dynamic collaboration based on large…

Artificial Intelligence · Computer Science 2025-11-04 Shuaidong Pan , Di Wu

Navigation in cluttered underwater environments is challenging, especially when there are constraints on communication and self-localisation. Part of the fully distributed underwater navigation problem has been resolved by introducing…

Robotics · Computer Science 2026-02-26 Kanzhong Yao , Ognjen Marjanovic , Simon Watson

When an individual's behavior has rational characteristics, this may lead to irrational collective actions for the group. A wide range of organisms from animals to humans often evolve the social attribute of cooperation to meet this…

Multiagent Systems · Computer Science 2021-11-18 Zhenbo Cheng , Xingguang Liu , Leilei Zhang , Hangcheng Meng , Qin Li , Xiao Gang

Financial markets are often driven by latent factors which traders cannot observe. Here, we address an algorithmic trading problem with collections of heterogeneous agents who aim to perform optimal execution or statistical arbitrage, where…

Mathematical Finance · Quantitative Finance 2019-04-02 Philippe Casgrain , Sebastian Jaimungal

We consider the problem of cooperative output regulation for linear multi-agent systems. A distributed dynamic output feedback design method is presented that solves the cooperative output regulation problem and also ensures that all agents…

Systems and Control · Computer Science 2018-05-08 Robert Schmid , Hassan Dehghani Aghbolagh

Natural Immune system plays a vital role in the survival of the all living being. It provides a mechanism to defend itself from external predates making it consistent systems, capable of adapting itself for survival incase of changes. The…

Artificial Intelligence · Computer Science 2011-03-11 Tejbanta Singh Chingtham , G. Sahoo , M. K. Ghose

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

To succeed in their objectives, groups of individuals must be able to make quick and accurate collective decisions on the best option among a set of alternatives with different qualities. Group-living animals aim to do that all the time.…

Physics and Society · Physics 2024-03-19 Andreagiovanni Reina , Thierry Njougouo , Elio Tuci , Timoteo Carletti

With the prospect of autonomous artificial intelligence (AI) agents, studying their tendency for cooperative behavior becomes an increasingly relevant topic. This study is inspired by the super-additive cooperation theory, where the…

Artificial Intelligence · Computer Science 2025-08-22 Filippo Tonini , Lukas Galke

Any strategy used to distribute a robot ensemble over a set of sequential tasks is subject to inaccuracy due to robot-level uncertainties and environmental influences on the robots' behavior. We approach the problem of inaccuracy during…

Robotics · Computer Science 2022-12-21 Thales C. Silva , Victoria Edwards , M. Ani Hsieh

Coordination and cooperation between humans and autonomous agents in cooperative games raises interesting questions of human decision making and behaviour changes. Here we report our findings from a group formation game in a small-world…

Physics and Society · Physics 2021-05-21 Tuomas Takko , Kunal Bhattacharya , Daniel Monsivais , Kimmo Kaski

We discuss a class of explicitly solvable mean field type control problems/mean field games with a clear economic interpretation. More precisely, we consider long term average impulse control problems with underlying general one-dimensional…

Optimization and Control · Mathematics 2021-04-28 Sören Christensen , Berenice Anne Neumann , Tobias Sohr

Mean field control provides a robust framework for coordinating large-scale populations with complex interactions and has wide applications across diverse fields. However, the inherent nonlinearity and the presence of unknown system…

Optimization and Control · Mathematics 2024-11-12 Yuhan Zhao , Juntao Chen , Yingdong Lu , Quanyan Zhu