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相关论文: A distributed generalized Nash equilibrium seeking…

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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…

计算机科学与博弈论 · 计算机科学 2023-06-06 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedich

We consider seeking a Nash equilibrium (NE) of a monotone game, played by dynamic agents which are modeled as a class of lower-triangular nonlinear uncertain dynamics with external disturbances. We establish a general framework that…

最优化与控制 · 数学 2025-11-04 Weijian Li , Yutao Tang

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

This paper proposes a novel approach for locally stable convergence to Nash equilibrium in duopoly noncooperative games based on a distributed event-triggered control scheme. The proposed approach employs extremum seeking, with sinusoidal…

最优化与控制 · 数学 2024-04-12 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Tamer Başar

In this paper, the problem of finding a generalized Nash equilibrium (GNE) of a networked game is studied. Players are only able to choose their decisions from a feasible action set. The feasible set is considered to be a private linear…

计算机科学与博弈论 · 计算机科学 2017-03-27 Farzad Salehisadaghiani , Lacra Pavel

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…

系统与控制 · 电气工程与系统科学 2023-04-07 Marta Fochesato , Filippo Fabiani , John Lygeros

We consider a stochastic generalized Nash equilibrium problem (GNEP) with expected-value cost functions. Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm by exploiting the forward-backward operator…

最优化与控制 · 数学 2020-02-17 Barbara Franci , Sergio Grammatico

Current research in distributed Nash equilibrium (NE) seeking in the partial information setting assumes that information is exchanged between agents that are "truthful". However, in general noncooperative games agents may consider sending…

最优化与控制 · 数学 2021-11-30 Dian Gadjov , Lacra Pavel

This paper mainly investigates a class of distributed Variational Generalized Nash Equilibrium (VGNE) seeking problems for both online noncooperative games and online aggregative games with time-varying coupling inequality constraints. Two…

最优化与控制 · 数学 2026-04-13 Jianing Chen , Sichen Qian , Chuangyin Dang , Sitian Qin

In practical applications, decision-makers with heterogeneous dynamics may be engaged in the same decision-making process. This motivates us to study distributed Nash equilibrium seeking for games in which players are mixed-order (first-…

最优化与控制 · 数学 2022-09-05 Maojiao Ye , Lei Ding , Jizhao Yin

In this paper, we study the problem of the distributed Nash equilibrium seeking of N-player games over jointly strongly connected switching networks. The action of each player is governed by a class of uncertain nonlinear systems. Our…

最优化与控制 · 数学 2024-11-05 Jie Huang

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with merely monotone and restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , Angelia Nedich

Information compression techniques are majorly employed to address the concern of reducing communication cost over peer-to-peer links. In this paper, we investigate distributed Nash equilibrium (NE) seeking problems in a class of…

多智能体系统 · 计算机科学 2023-09-22 Xiaomeng Chen , Yuchi Wu , Xinlei Yi , Minyi Huang , Ling Shi

We propose an integral Nash equilibrium seeking control (I-NESC) law which steers the multi-agent system composed of a special class of linear agents to the neighborhood of the Nash equilibrium in noncooperative strongly monotone games.…

最优化与控制 · 数学 2019-11-22 Suad Krilašević , Sergio Grammatico

The nested Extremum Seeking (nES) algorithm is a model-free optimization method that has been shown to converge to a neighborhood of a Nash equilibrium. In this work, we demonstrate that the same nES dynamics can instead be made to converge…

最优化与控制 · 数学 2026-04-02 Brad Ratto , Alan Williams , Miroslav Krstić , Tamer Başar , Alexander Scheinker

In this work, we study the distributed Nash equilibrium seeking problem for monotone generalized noncooperative games with set constraints and shared affine inequality constraints. A distributed regularized penalty method is proposed. The…

最优化与控制 · 数学 2021-09-28 Chao Sun , Guoqiang Hu

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

In this paper, we consider a Nash equilibrium seeking problem for a class of high-order multi-agent systems with unknown dynamics. Different from existing results for single integrators, we aim to steer the outputs of this class of…

系统与控制 · 电气工程与系统科学 2021-01-11 Yutao Tang , Peng Yi

This paper introduces a new method to achieve stable convergence to Nash equilibrium in duopoly noncooperative games. Inspired by the recent fixed-time Nash Equilibrium seeking (NES) as well as prescribed-time extremum seeking (ES) and…

最优化与控制 · 数学 2024-05-27 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Tamer Başar

In this paper, we investigate the noncooperative games of multi-agent systems. Different from existing noncooperative games, our formulation involves the high-order nonlinear dynamics of players, and the communication topologies among…

系统与控制 · 电气工程与系统科学 2021-12-17 Zhenhua Deng , Jin Luo