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Noticing that physical limitations are ubiquitous in practical engineering systems, this paper considers Nash equilibrium seeking for games in systems where the control inputs are bounded. More specifically, first-order integrator-type…

Optimization and Control · Mathematics 2020-09-29 Maojiao Ye

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

Computer Science and Game Theory · Computer Science 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar

This paper presents a new framework for analyzing and designing no-regret algorithms for dynamic (possibly adversarial) systems. The proposed framework generalizes the popular online convex optimization framework and extends it to its…

Machine Learning · Computer Science 2016-08-30 Ian Gemp , Sridhar Mahadevan

This paper investigates the equilibrium convergence properties of a proposed algorithm for potential games with continuous strategy spaces in the presence of feedback delays, a main challenge in multi-agent systems that compromises the…

Optimization and Control · Mathematics 2023-03-20 Yuanhanqing Huang , Jianghai Hu

The distributed computation of a Nash equilibrium (NE) for non-cooperative games is gaining increased attention recently. Due to the nature of distributed systems, privacy and communication efficiency are two critical concerns. Traditional…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Xiaomeng Chen , Wei Huo , Kemi Ding , Subhrakanti Dey , Ling Shi

In current power distribution systems, one of the most challenging operation tasks is to coordinate the network- wide distributed energy resources (DERs) to maintain the stability of voltage magnitude of the system. This voltage control…

Systems and Control · Computer Science 2018-04-04 Kaiqing Zhang , Wei Shi , Hao Zhu , Tamer Başar

Distributed Nash equilibrium (NE) seeking problems for networked games have been widely investigated in recent years. Despite the increasing attention, communication expenditure is becoming a major bottleneck for scaling up distributed…

Systems and Control · Electrical Eng. & Systems 2024-06-17 Xiaomeng Chen , Wei Huo , Yuchi Wu , Subhrakanti Dey , Ling Shi

This paper investigates the privacy-preserving distributed Nash equilibrium seeking problem for aggregative games. A novel differential privacy mechanism is designed by incorporating stochastic event-triggering with stochastic quantization,…

Optimization and Control · Mathematics 2026-05-27 Qingtan Meng , Qian Ma

This paper considers the problem of distributed bandit online convex optimization with time-varying coupled inequality constraints. This problem can be defined as a repeated game between a group of learners and an adversary. The learners…

Optimization and Control · Mathematics 2019-12-10 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Karl H. Johansson , Tianyou Chai

This paper considers the distributed online bandit optimization problem with nonconvex loss functions over a time-varying digraph. This problem can be viewed as a repeated game between a group of online players and an adversary. At each…

Machine Learning · Computer Science 2024-09-25 Youqing Hua , Shuai Liu , Yiguang Hong , Karl Henrik Johansson , Guangchen Wang

This paper presents a new distributed algorithm that leverages heavy-ball momentum and a consensus-based gradient method to find a Nash equilibrium (NE) in a class of non-cooperative convex games with unconstrained action sets. In this…

Computer Science and Game Theory · Computer Science 2023-06-06 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedich

This paper investigates the Nash equilibrium seeking problems for networked games with intermittent communication, where each player is capable of communicating with other players intermittently over a strongly connected and directed graph.…

Optimization and Control · Mathematics 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

In this paper, we propose a novel class of Nash problems for Cognitive Radio (CR) networks, modeled as Gaussian frequency-selective interference channels, wherein each secondary user (SU) competes against the others to maximize his own…

Information Theory · Computer Science 2013-01-01 Gesualdo Scutari , Jong-Shi Pang

Flow scheduling tends to be one of the oldest and most stubborn problems in networking. It becomes more crucial in the next generation network, due to fast changing link states and tremendous cost to explore the global structure. In such…

Computer Science and Game Theory · Computer Science 2012-12-18 Yaoqing Yang , Keqin Liu , Qing Zhao

We consider a generalized Nash equilibrium problem (GNEP) for a network of players. Each player tries to minimize a local objective function subject to some resource constraints where both the objective functions and the resource…

Optimization and Control · Mathematics 2021-03-18 Yuanhanqing Huang , Jianghai Hu

An abundance of recent impossibility results establish that regret minimization in Markov games with adversarial opponents is both statistically and computationally intractable. Nevertheless, none of these results preclude the possibility…

Machine Learning · Computer Science 2025-06-17 Liad Erez , Tal Lancewicki , Uri Sherman , Tomer Koren , Yishay Mansour

We consider generalized Nash equilibrium problems (GNEPs) with linear coupling constraints affected by both local (i.e., agent-wise) and global (i.e., shared resources) disturbances taking values in polyhedral uncertainty sets. By making…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Marta Fochesato , Filippo Fabiani , John Lygeros

We address the generalized Nash equilibrium seeking problem for a population of agents playing aggregative games with affine coupling constraints. We focus on semi-decentralized communication architectures, where there is a central…

Optimization and Control · Mathematics 2022-06-16 Giuseppe Belgioioso , Sergio Grammatico

We introduce an online learning algorithm in the bandit feedback model that, once adopted by all agents of a congestion game, results in game-dynamics that converge to an $\epsilon$-approximate Nash Equilibrium in a polynomial number of…

Computer Science and Game Theory · Computer Science 2024-01-19 Leello Dadi , Ioannis Panageas , Stratis Skoulakis , Luca Viano , Volkan Cevher

This paper considers the distributed bandit convex optimization problem with time-varying constraints. In this problem, the global loss function is the average of all the local convex loss functions, which are unknown beforehand. Each agent…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Lihua Xie , Tianyou Chai , Tao Yang
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