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This article investigates the optimal control problem with disturbance rejection for discrete-time multi-agent systems under cooperative and non-cooperative graphical games frameworks. Given the practical challenges of obtaining accurate…

系统与控制 · 电气工程与系统科学 2025-04-11 Xinyang Wang , Martin Guay , Shimin Wang , Hongwei Zhang

The integration of microgrids that depend on the renewable distributed energy resources with the current power systems is a critical issue in the smart grid. In this paper, we propose a non-cooperative game-theoretic framework to study the…

系统与控制 · 计算机科学 2016-11-18 Juntao Chen , Quanyan Zhu

In this paper we propose a numerical method to obtain an approximation of Nash equilibria for multi-player non-cooperative games with a special structure. We consider the infinite horizon problem in a case which leads to a system of…

数值分析 · 数学 2016-02-19 Simone Cacace , Emiliano Cristiani , Maurizio Falcone

We propose a multi-agent based computational framework for modeling decision-making and strategic interaction at micro level for smart vehicles in a smart world. The concepts of Markov game and best response dynamics are heavily leveraged.…

多智能体系统 · 计算机科学 2022-01-05 Qi Dai , Xunnong Xu , Wen Guo , Suzhou Huang , Dimitar Filev

In this paper, we present a method for finding approximate Nash equilibria in a broad class of reachability games. These games are often used to formulate both collision avoidance and goal satisfaction. Our method is computationally…

系统与控制 · 电气工程与系统科学 2021-03-23 David Fridovich-Keil , Claire J. Tomlin

We introduce a new algorithm for the numerical computation of Nash equilibria of competitive two-player games. Our method is a natural generalization of gradient descent to the two-player setting where the update is given by the Nash…

最优化与控制 · 数学 2020-07-02 Florian Schäfer , Anima Anandkumar

In this paper, we consider a distributed Bayesian Nash equilibrium (BNE) seeking problem in incomplete-information aggregative games, which is a generalization of Bayesian games and deterministic aggregative games. We handle the aggregation…

最优化与控制 · 数学 2023-09-19 Hanzheng Zhang , Guanpu Chen , Huashu Qin

This paper presents a distributed adaptive control strategy for multi-agent systems with heterogeneous dynamics and collision avoidance. We propose an adaptive control strategy designed to ensure leader-following formation consensus while…

系统与控制 · 电气工程与系统科学 2024-10-14 Armel Koulong , Ali Pakniyat

A fundamental open problem in monotone game theory is the computation of a specific generalized Nash equilibrium (GNE) among all the available ones, e.g. the optimal equilibrium with respect to a system-level objective. The existing GNE…

系统与控制 · 电气工程与系统科学 2022-03-16 Emilio Benenati , Wicak Ananduta , Sergio Grammatico

In interactive multi-agent settings, decision-making and planning are challenging mainly due to the agents' interconnected objectives. Dynamic game theory offers a formal framework for analyzing such intricacies. Yet, solving constrained…

机器人学 · 计算机科学 2025-03-24 Maulik Bhatt , Yixuan Jia , Negar Mehr

In this paper, we show the equivalence between a constrained, multi-agent control problem, modeled within the port-Hamiltonian framework, and an exact potential game. Specifically, critical distance-based constraints determine a network of…

最优化与控制 · 数学 2018-11-20 Filippo Fabiani , Andrea Caiti

Increasing connectivity of communication networks enables large-scale distributed processing over networks and improves the efficiency for information exchange. However, malware and virus can take advantage of the high connectivity to…

最优化与控制 · 数学 2019-05-09 Yunhan Huang , Quanyan Zhu

Efficient distributed spectrum sharing mechanism is crucial for improving the spectrum utilization. The spatial aspect of spectrum sharing, however, is less understood than many other aspects. In this paper, we generalize a recently…

网络与互联网体系结构 · 计算机科学 2012-09-25 Xu Chen , Jianwei Huang

In dynamic games with shared constraints, Generalized Nash Equilibria (GNE) are often computed using the normalized solution concept, which assumes identical Lagrange multipliers for shared constraints across all players. While widely used,…

机器人学 · 计算机科学 2025-11-07 Mark Pustilnik , Francesco Borrelli

In this paper, we investigate a prescribed-time and fully distributed Nash Equilibrium (NE) seeking problem for continuous-time noncooperative games. By exploiting pseudo-gradient play and consensus-based schemes, various distributed NE…

系统与控制 · 电气工程与系统科学 2020-09-25 Zhi Feng , Guoqiang Hu

Many resources are provided by an ecological system that is vulnerable to tipping when exceeding a certain level of pollution, with a sudden big loss of ecosystem services. An ecological system is usually also a common-pool resource and…

综合经济学 · 经济学 2026-03-23 Yongyang Cai , Anastasios Xepapadeas , Aart de Zeeuw

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

系统与控制 · 电气工程与系统科学 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

We design the first fully-distributed algorithm for generalized Nash equilibrium seeking in aggregative games on a time-varying communication network, under partial-decision information, i.e., the agents have no direct access to the…

最优化与控制 · 数学 2022-06-16 Giuseppe Belgioioso , Angelia Nedić , Sergio Grammatico

In this paper, we consider the problem of learning a generalized Nash equilibrium (GNE) in strongly monotone games. First, we propose a novel continuous-time solution algorithm that uses regular projections and first-order information. As…

系统与控制 · 电气工程与系统科学 2020-07-23 Suad Krilašević , Sergio Grammatico

This work examines a stochastic formulation of the generalized Nash equilibrium problem (GNEP) where agents are subject to randomness in the environment of unknown statistical distribution. We focus on fully-distributed online learning by…

计算机科学与博弈论 · 计算机科学 2017-06-28 Chung-Kai Yu , Mihaela van der Schaar , Ali H. Sayed