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This paper considers convex games involving multiple agents that aim to minimize their own cost functions using locally available information. A common assumption in the study of such games is that the agents are symmetric, meaning that…

Optimization and Control · Mathematics 2025-09-25 Zifan Wang , Xinlei Yi , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

The emergence of new communication technologies allows us to expand our understanding of distributed control and consider collaborative decision-making paradigms. With collaborative algorithms, certain local decision-making entities (or…

Computer Science and Game Theory · Computer Science 2023-08-17 Bryce L. Ferguson , Dario Paccagnan , Bary S. R. Pradelski , Jason R. Marden

The decision making and management of many engineering networks involves multiple parties with conflicting interests, while each party is constituted with multiple agents. Such problems can be casted as a multi-cluster game. Each cluster is…

Computer Science and Game Theory · Computer Science 2022-05-25 Yue Chen , Peng Yi

This paper studies a consensus problem of multi-agent systems subjected to external disturbances over the clustered network. It considers that the agents are divided into several clusters. They are almost all the time isolated one from…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Thiem V. Pham , Quynh T. T. Nguyen

The mean-field framework has been used to find approximate solutions to problems involving very large populations of symmetric, anonymous agents, which may be intractable by other methods. The cooperative mean-field control (MFC) problem…

Multiagent Systems · Computer Science 2025-12-23 Patrick Benjamin , Alessandro Abate

Recent years have witnessed significant advances in technologies and services in modern network applications, including smart grid management, wireless communication, cybersecurity as well as multi-agent autonomous systems. Considering the…

Multiagent Systems · Computer Science 2023-08-29 Tao Li , Guanze Peng , Quanyan Zhu , Tamer Basar

The rapid increase of photovoltaic cells, batteries, and Electric Vehicles (EVs) in electric grids can result in congested distribution networks. An alternative to enhancing network capacity is a redispatch market, allowing Distribution…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Amirreza Silani , Simon H. Tindemans

This paper investigates the social optimality of linear quadratic mean field control systems with unmodeled dynamics. The objective of agents is to optimize the social cost, which is the sum of costs of all agents. By variational analysis…

Optimization and Control · Mathematics 2020-11-30 Bing-Chang Wang , Yong Liang

We consider cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific possibly…

Optimization and Control · Mathematics 2017-06-27 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

Individuals, or organizations, cooperate with or compete against one another in a wide range of practical situations. Such strategic interactions are often modeled as games played on networks, where an individual's payoff depends not only…

Computer Science and Game Theory · Computer Science 2020-09-22 Yan Leng , Xiaowen Dong , Junfeng Wu , Alex Pentland

We formulate a general framework for competitive gradient-based learning that encompasses a wide breadth of multi-agent learning algorithms, and analyze the limiting behavior of competitive gradient-based learning algorithms using dynamical…

Machine Learning · Computer Science 2020-02-21 Eric Mazumdar , Lillian J. Ratliff , S. Shankar Sastry

In this paper, we investigate the dynamics of coordinating and anti-coordinating agents in a coevolutionary model for actions and opinions. In the model, the individuals of a population interact on a two-layer network, sharing their…

Computer Science and Game Theory · Computer Science 2025-07-25 Hong Liang , Mengbin Ye , Lorenzo Zino , Weiguo Xia

We show that, in large population games, decentralized information aggregation generically corrects for individual-level biases. This establishes a new testable aggregate efficiency benchmark where the behavior of boundedly rational agents…

Theoretical Economics · Economics 2026-02-17 Florian Mudekereza

This thesis is going to give a gentle introduction to Mean Field Games. It aims to produce a coherent text beginning for simple notions of deterministic control theory progressively to current Mean Field Games theory. The framework…

Optimization and Control · Mathematics 2019-07-03 Athanasios Vasiliadis

This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-16 Ziqin Chen , Ji Ma , Shu Liang , Li Li

We study the problem of achieving decentralized coordination by a group of strategic decision makers choosing to engage or not in a task in a stochastic setting. First, we define a class of symmetric utility games that encompass a broad…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Marcos M. Vasconcelos , Behrouz Touri

Algorithmic game theory (AGT) focuses on the design and analysis of algorithms for interacting agents, with interactions rigorously formalized within the framework of games. Results from AGT find applications in domains such as online…

Computer Science and Game Theory · Computer Science 2017-10-23 Ian Gemp , Sridhar Mahadevan

Motivated by game-theoretic models of crowd motion dynamics, this paper analyzes a broad class of distributed games with jump diffusions within the recently developed $\alpha$-potential game framework. We demonstrate that analyzing the…

Optimization and Control · Mathematics 2026-04-17 Xin Guo , Xinyu Li , Yufei Zhang

We consider the problem of steering a multi-agent system to multi-consensus, namely a regime where groups of agents agree on a given value which may be different from group to group. We first address the problem by using distributed…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Lucia Valentina Gambuzza , Mattia Frasca

First order kinetic mean field games formally describe the Nash equilibria of deterministic differential games where agents control their acceleration, asymptotically in the limit as the number of agents tends to infinity. The known results…

Analysis of PDEs · Mathematics 2022-07-12 Megan Griffin-Pickering , Alpár R. Mészáros