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In this article, we employ an input-output approach to expand the study of cooperative multi-agent control and optimization problems characterized by mean-field interactions that admit decentralized and selfish solutions. The setting…

Optimization and Control · Mathematics 2025-10-02 Vivek Khatana , Duo Wang , Petros Voulgaris , Nicola Elia , Naira Hovakimyan

In many multi-agent systems of practical interest, such as traffic networks or crowd evacuation, control actions cannot be exerted on all agents. Instead, controllable leaders must indirectly steer uncontrolled followers through local…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Davide Salzano , Gian Carlo Maffettone , Mario di Bernardo

The goal of this work is to propose an extension of the popular leader-follower framework for multi-agent collective tracking and formation maintenance in presence of a time- varying leader. In particular, the leader is persistently…

Systems and Control · Computer Science 2017-12-20 Antonio Franchi , Paolo Robuffo Giordano

This paper studies the stability and dynamic control of underlay mobile edge networks. First, the stability region for a multiuser edge network is obtained under the assumption of full channel state information. This result provides a…

Information Theory · Computer Science 2018-03-29 Y. Sarikaya , H. Inaltekin , T. Alpcan , J. S. Evans

In this article, we propose a new unifying framework for the investigation of multi-agent control problems in the mean-field setting. Our approach is based on a new definition of differential inclusions for continuity equations formulated…

Optimization and Control · Mathematics 2020-09-15 Benoît Bonnet , Hélène Frankowska

Mean-Field Games are games with a continuum of players that incorporate the time-dimension through a control-theoretic approach. Recently, simpler approaches relying on the Best Reply Strategy have been proposed. They assume that the agents…

Optimization and Control · Mathematics 2014-12-24 Pierre Degond , Michael Herty , Jian-Guo Liu

The minimal dominating set (MDS) is a well-established concept in network controllability and has been successfully applied in various domains, including sensor placement, network resilience, and epidemic containment. In this study, we…

Social and Information Networks · Computer Science 2025-09-18 Michał Czuba , Mingshan Jia , Piotr Bródka , Katarzyna Musial

To alleviate the training burden in federated learning while enhancing convergence speed, Split Federated Learning (SFL) has emerged as a promising approach by combining the advantages of federated and split learning. However, recent…

Computer Science and Game Theory · Computer Science 2025-01-24 Joohyung Lee , Jungchan Cho , Wonjun Lee , Mohamed Seif , H. Vincent Poor

Federated learning is an increasingly popular paradigm that enables a large number of entities to collaboratively learn better models. In this work, we study minimax group fairness in federated learning scenarios where different…

Machine Learning · Computer Science 2022-07-14 Afroditi Papadaki , Natalia Martinez , Martin Bertran , Guillermo Sapiro , Miguel Rodrigues

This paper develops a unified distributed method for solving two classes of constrained networked optimization problems, i.e., optimal consensus problem and resource allocation problem with non-identical set constraints. We first transform…

Optimization and Control · Mathematics 2023-07-17 Yi Huang , Ziyang Meng , Jian Sun , Wei Ren

In this paper, we study the global stability properties of a multi-agent model of natural resource consumption that balances ecological and social network components in determining the consumption behavior of a group of agents. The social…

Systems and Control · Computer Science 2018-04-13 Sebastian F. Ruf , Matthew T. Hale , Talha Manzoor , Abubakr Muhammad

Minimal controllability problem plays an important role in the field of network control. A New concept-Minimum Perfect Critical Set (MPCS)is proposed. Four different MPCSs were found for k-distant tree graphs. Based on this concept of MPCS,…

Optimization and Control · Mathematics 2022-02-10 Li Dai

We investigate how asymmetric information affects equilibrium price formation in an economy with many interacting agents. Motivated by a finite-player model with two populations of asymmetrically informed agents, we study its mean-field…

Probability · Mathematics 2026-05-06 Alekos Cecchin , Markus Fischer , Claudio Fontana , Giacomo Lanaro

We consider mean-field control problems in discrete time with discounted reward, infinite time horizon and compact state and action space. The existence of optimal policies is shown and the limiting mean-field problem is derived when the…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle

We study resilient leader-follower consensus of multi-agent systems (MASs) in the presence of adversarial agents, where agents' communication is modeled by time-varying topologies. The objective is to develop distributed algorithms for the…

Multiagent Systems · Computer Science 2024-11-18 Liwei Yuan , Hideaki Ishii

Limited information availability represents a fundamental challenge for control of multi-agent systems, since an agent often lacks sensing capabilities to measure certain states of its own and can exchange data only with its neighbors. The…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Chuan Yan , Tao Yang , Huazhen Fang

In this paper we consider a mean field approach to modeling the agents flow over a transportation network. In particular, beside a standard framework of mean field games, with controlled dynamics by the agents and costs mass-distribution…

Optimization and Control · Mathematics 2020-06-18 Fabio Bagagiolo , Rosario Maggistro , Raffaele Pesenti

Mean field games (MFG) and mean field control (MFC) problems have been introduced to study large populations of strategic players. They correspond respectively to non-cooperative or cooperative scenarios, where the aim is to find the Nash…

Computer Science and Game Theory · Computer Science 2023-12-19 Rene Carmona , Gokce Dayanikli , Francois Delarue , Mathieu Lauriere

In a multi-follower Bayesian Stackelberg game, a leader plays a mixed strategy over $L$ actions to which $n\ge 1$ followers, each having one of $K$ possible private types, best respond. The leader's optimal strategy depends on the…

Computer Science and Game Theory · Computer Science 2026-03-03 Gerson Personnat , Tao Lin , Safwan Hossain , David C. Parkes

The leader-following consensus problem of multi-agent systems over finite fields ${\mathbb F}_p$ is considered in this paper. Dynamics of each agent is governed by a linear equation over ${\mathbb F}_p$, where a distributed control protocol…

Optimization and Control · Mathematics 2018-02-27 Xiangru Xu , Yiguang Hong