English
Related papers

Related papers: MinMax Mean-Field Team Approach for a Leader-Follo…

200 papers

In this paper, we investigate the interaction of two populations with a large number of indistinguishable agents. The problem consists in two levels: the interaction between agents of a same population, and the interaction between the two…

Optimization and Control · Mathematics 2018-10-30 Alain Bensoussan , Tao Huang , Mathieu Laurière

This paper studies the connection between a class of mean-field games and a social welfare optimization problem. We consider a mean-field game in function spaces with a large population of agents, and each agent seeks to minimize an…

Optimization and Control · Mathematics 2018-02-15 Sen Li , Wei Zhang , Lin Zhao

This paper is concerned with a linear-quadratic mean field Stackelberg stochastic differential game with partial information and common noise, which contains a leader and a large number of followers. To be specific, the followers face a…

Optimization and Control · Mathematics 2025-03-25 Yu Si , Jingtao Shi

Given a large number of homogeneous players that are distributed across three possible states, we consider the problem in which these players have to control their transition rates, while minimizing a cost. The optimal transition rates are…

Systems and Control · Computer Science 2018-02-13 Leonardo Stella , Dario Bauso

Leadership and followership are essential parts of collective decision and organization in social animals, including humans. In nature, relationships of leaders and followers are dynamic and vary with context or temporal factors.…

Social and Information Networks · Computer Science 2020-11-20 Chainarong Amornbunchornvej , Tanya Y. Berger-Wolf

Saddle-point or primal-dual methods have recently attracted renewed interest as a systematic technique to design distributed algorithms which solve convex optimization problems. When implemented online for streaming data or as dynamic…

Optimization and Control · Mathematics 2021-04-22 John W. Simpson-Porco , Bala Kameshwar Poolla , Nima Monshizadeh , Florian Dorfler

The paper focuses on mean-field type multi-agent control problems with finite state and action spaces where the dynamics and cost structures are symmetric and homogeneous, and are affected by the distribution of the agents. A standard…

Optimization and Control · Mathematics 2025-07-03 Erhan Bayraktar , Ali D. Kara

We consider the general problem of resource sharing in societal networks, consisting of interconnected communication, transportation, energy and other networks important to the functioning of society. Participants in such network need to…

Computer Science and Game Theory · Computer Science 2018-03-28 Jian Li , Bainan Xia , Xinbo Geng , Hao Ming , Srinivas Shakkottai , Vijay Subramanian , Le Xie

Steering large-scale swarms with only limited control updates is often needed due to communication or computational constraints, yet most learning-based approaches do not account for this and instead model instantaneous velocity fields. As…

Machine Learning · Computer Science 2026-04-07 Anqi Dong , Yongxin Chen , Karl H. Johansson , Johan Karlsson

A wide range of decision problems can be formulated as bilevel programs with independent followers, which as a special case include two-stage stochastic programs. These problems are notoriously difficult to solve especially when a large…

Optimization and Control · Mathematics 2025-09-25 Timothy C. Y. Chan , Bo Lin , Shoshanna Saxe

We study the problem of leader selection in leader-follower multi-agent systems that are subject to stochastic disturbances. This problem arises in applications such as vehicle formation control, distributed clock synchronization, and…

Optimization and Control · Mathematics 2014-10-27 Stacy Patterson

This paper is concerned with a leader-follower problem for a multi-agent system with a switching interconnection topology. Distributed observers are designed for the second-order follower-agents, under the common assumption that the…

Optimization and Control · Mathematics 2018-01-03 Yiguang Hong , Guanrong Chen , Linda Bushnell

Social network analysis presupposes that observed social behavior is influenced by an unobserved network. Traditional approaches to inferring the latent network use pairwise descriptive statistics that rely on a variety of measures of…

Applications · Statistics 2018-09-03 Charles Weko , Yunpeng Zhao

This paper examines resilient dynamic leader-follower consensus within multi-agent systems, where agents share first-order or second-order dynamics. The aim is to develop distributed protocols enabling nonfaulty/normal followers to…

Multiagent Systems · Computer Science 2025-11-25 Liwei Yuan , Hideaki Ishii

In a leader-follower multi-agent system (MAS), the leader agents act as control inputs and influence the states of the remaining follower agents. The rate at which the follower agents converge to their desired states, as well as the errors…

Systems and Control · Computer Science 2013-11-05 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

This paper introduces and analyzes a new class of mean-field control (\textsc{MFC}) problems in which agents interact through a \emph{fixed but controllable} network structure. In contrast with the classical \textsc{MFC} framework -- where…

Optimization and Control · Mathematics 2025-11-07 Mao Fabrice Djete

This paper investigates open-loop and feedback solutions of linear quadratic mean field (MF) games with a leader and a large number of followers. The leader first gives its strategy and then all the followers cooperate to optimize the…

Optimization and Control · Mathematics 2025-04-15 Bing-Chang Wang , Juanjuan Xu , Huanshui Zhang , Yong Liang

There has recently been considerable interest in the stability of different fair bandwidth sharing policies for models that arise in the context of Internet congestion control. Here, we consider a connection level model, introduced by…

Probability · Mathematics 2010-10-18 Maury Bramson

This paper addresses the leader-follower flocking problem with a moving leader for networked Lagrange systems with parametric uncertainties under a proximity graph. Here a group of followers move cohesively with the moving leader to…

Optimization and Control · Mathematics 2015-07-23 Sheida Ghapani , Jie Mei , Wei Ren , Yongduan Song

This paper considers the gain-scheduled leader-follower tracking control problem for a parameter varying complex interconnected system with directed communication topology and uncertain norm-bounded coupling between the agents. A…

Systems and Control · Computer Science 2015-01-27 Yi Cheng , V. Ugrinovskii