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Multi-agent systems are increasingly widespread in a range of application domains, with optimization and learning underpinning many of the tasks that arise in this context. Different approaches have been proposed to enable the cooperative…

Optimization and Control · Mathematics 2025-09-04 Nicola Bastianello , Luca Schenato , Ruggero Carli

Modern AI systems increasingly operate inside markets and institutions where data, behavior, and incentives are endogenous. This paper develops an economic foundation for multi-agent learning by studying a principal-agent interaction in a…

Machine Learning · Statistics 2026-01-08 Nassim Helou

We study the fragmentation-coagulation (or merging and splitting) evolutionary control model as introduced recently by one of the authors, where $N$ small players can form coalitions to resist to the pressure exerted by the principal. It is…

Optimization and Control · Mathematics 2022-05-03 Alekos Cecchin , Vassili N. Kolokoltsov

We present a multi-agent algorithm for multi-objective optimization problems, which extends the class of consensus-based optimization methods and relies on a scalarization strategy. The optimization is achieved by a set of interacting…

Optimization and Control · Mathematics 2022-03-31 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

The mechanisms of emergence and evolution of collective behaviours in dynamical Multi-Agent Systems (MAS) of multiple interacting agents, with diverse behavioral strategies in co-presence, have been undergoing mathematical study via…

Artificial Intelligence · Computer Science 2022-05-17 The Anh Han

Min-max problems are important in multi-agent sequential decision-making because they improve the performance of the worst-performing agent in the network. However, solving the multi-agent min-max problem is challenging. We propose a…

Multiagent Systems · Computer Science 2024-05-31 Alexandros E. Tzikas , Jinkyoo Park , Mykel J. Kochenderfer , Ross E. Allen

When should we encourage specialization in multi-agent systems versus train generalists that perform the entire task independently? We propose that specialization largely depends on task parallelizability: the potential for multiple agents…

The complexity of cooperative behavior is a crucial issue in multiagent-based social simulation. In this paper, an agent-based model is proposed to study the evolution of cooperative hunting behaviors in an artificial society. In this…

Computers and Society · Computer Science 2021-01-19 Honglin Bao , Wolfgang Banzhaf

Evolutionary game theory is a successful mathematical framework geared towards understanding the selective pressures that affect the evolution of the strategies of agents engaged in interactions with potential conflicts. While a…

Populations and Evolution · Quantitative Biology 2016-09-01 Christoph Adami , Jory Schossau , Arend Hintze

Many complex systems can be modeled as multiagent systems in which the constituent entities (agents) interact with each other. The global dynamics of such a system is determined by the nature of the local interactions among the agents.…

Multiagent Systems · Computer Science 2011-11-10 Reinhard Laubenbacher , Abdul S. Jarrah , Henning Mortveit , S. S. Ravi

Evolutionary Game Theory (EGT) and Artificial Intelligence (AI) are two fields that, at first glance, might seem distinct, but they have notable connections and intersections. The former focuses on the evolution of behaviors (or strategies)…

Physics and Society · Physics 2024-03-13 Long Wang , Feng Fu , Xingru Chen

Central to all machine learning algorithms is data representation. For multi-agent systems, selecting a representation which adequately captures the interactions among agents is challenging due to the latent group structure which tends to…

Machine Learning · Computer Science 2020-01-01 Jennifer Hobbs , Matthew Holbrook , Nathan Frank , Long Sha , Patrick Lucey

A multi-agent model for individuals endowed with strategies and subject to diffusive effects is proposed. The microscopic state of each agent is described by a spatial position and a probability measure, interpreted as a mixed strategy,…

Analysis of PDEs · Mathematics 2026-03-24 Alessandro Baldi , Marco Morandotti

Many safety-critical real-world problems, such as autonomous driving and collaborative robots, are of a distributed multi-agent nature. To optimize the performance of these systems while ensuring safety, we can cast them as distributed…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

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

We present an approach for designing swarm-based optimizers for the global optimization of expensive black-box functions. In the proposed approach, the problem of finding efficient optimizers is framed as a reinforcement learning problem,…

Artificial Intelligence · Computer Science 2023-04-12 Eloghosa Ikponmwoba , Ope Owoyele

Many analyses of resource-allocation problems employ simplistic models of the population. Using the example of a resource-allocation problem of Marecek et al. [arXiv:1406.7639], we introduce rather a general behavioural model, where the…

Optimization and Control · Mathematics 2025-09-09 Jonathan Epperlein , Jakub Marecek

The Agentic Service Ecosystem consists of heterogeneous autonomous agents (e.g., intelligent machines, humans, and human-machine hybrid systems) that interact through resource exchange and service co-creation. These agents, with distinct…

Multiagent Systems · Computer Science 2025-08-12 Xuwen Zhang , Xiao Xue , Xia Xie , Qun Ma , Xiangning Yu , Deyu Zhou , Yifan Wang , Ming Zhang

Given a user's complex information need, a multi-agent Deep Research system iteratively plans, retrieves, and synthesizes evidence across hundreds of documents to produce a high-quality answer. In one possible architecture, an orchestrator…

Information Retrieval · Computer Science 2026-04-06 Arthur Câmara , Vincent Slot , Jakub Zavrel

Optimization problems in process engineering, including design and operation, can often pose challenges to many solvers: multi-modal, non-smooth, and discontinuous models often with large computational requirements. In such cases, the…

Optimization and Control · Mathematics 2025-01-17 Eric S. Fraga , Veerawat Udomvorakulchai , Miguel Pineda , Lazaros G. Papageorgiou