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相关论文: Passivity-based Gradient-Play Dynamics for Distrib…

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In this paper we consider the problem of distributed Nash equilibrium (NE) seeking over networks, a setting in which players have limited local information. We start from a continuous-time gradient-play dynamics that converges to an NE…

最优化与控制 · 数学 2024-10-30 Dian Gadjov , Lacra Pavel

This work proposes an algorithm for seeking generalised feedback Nash equilibria (GFNE) in noncooperative dynamic games. The focus is on cyber-physical systems with dynamics which are linear, stochastic, potentially unstable, and partially…

最优化与控制 · 数学 2025-04-01 Otacilio B. L. Neto , Michela Mulas , Francesco Corona

We present the concept of a Generalized Feedback Nash Equilibrium (GFNE) in dynamic games, extending the Feedback Nash Equilibrium concept to games in which players are subject to state and input constraints. We formalize necessary and…

最优化与控制 · 数学 2023-11-22 Forrest Laine , David Fridovich-Keil , Chih-Yuan Chiu , Claire Tomlin

This paper explores aggregative games in a network of general linear systems subject to external disturbances. To deal with external disturbances, distributed strategy-updating rules based on internal model are proposed for the case with…

最优化与控制 · 数学 2024-10-28 Xin Cai , Feng Xiao , Bo Wei , Mei Yu , Fang Fang

In this paper, we solve the problem of learning a generalized Nash equilibrium (GNE) in merely monotone games. First, we propose a novel continuous semi-decentralized solution algorithm without projections that uses first-order information…

系统与控制 · 电气工程与系统科学 2021-10-07 Suad Krilašević , Sergio Grammatico

We solve the stochastic generalized Nash equilibrium (SGNE) problem in merely monotone games with expected value cost functions. Specifically, we present the first distributed SGNE seeking algorithm for monotone games that requires one…

最优化与控制 · 数学 2021-07-15 Barbara Franci , Sergio Grammatico

We consider generalized Nash equilibrium (GNE) problems in games with strongly monotone pseudo-gradients and jointly linear coupling constraints. We establish the convergence rate of a payoff-based approach intended to learn a variational…

最优化与控制 · 数学 2024-11-14 Tatiana Tatarenko , Maryam Kamgarpour

We consider strongly monotone games with convex separable coupling constraints, played by dynamical agents, in a partial-decision information scenario. We start by designing continuous-time fully distributed feedback controllers, based on…

最优化与控制 · 数学 2021-05-05 Mattia Bianchi , Sergio Grammatico

In this paper, we consider distributed Nash equilibrium seeking in monotone and hypomonotone games. We first assume that each player has knowledge of the opponents' decisions and propose a passivity-based modification of the standard…

最优化与控制 · 数学 2021-04-23 Dian Gadjov , Lacra Pavel

In this paper, we investigate distributed generalized Nash equilibrium (GNE) computation of monotone games with affine coupling constraints. Each player can only utilize its local objective function, local feasible set and a local block of…

最优化与控制 · 数学 2020-04-10 Peng Yi , Lacra Pavel

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

We study generalized Nash equilibrium (GNE) problems in games with quadratic costs and individual linear equality constraints. Departing from approaches that require strong monotonicity and/or shared constraints, we reformulate the KKT…

最优化与控制 · 数学 2025-12-23 Tatiana Tatarenko , Lucas Wey Hacker

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

We provide a distributed algorithm to learn a Nash equilibrium in a class of non-cooperative games with strongly monotone mappings and unconstrained action sets. Each player has access to her own smooth local cost function and can…

最优化与控制 · 数学 2019-07-17 Tatiana Tatarenko , Angelia Nedich

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

We consider payoff-based learning of a generalized Nash equilibrium (GNE) in multi-agent systems. Our focus is on games with jointly convex constraints of a linear structure and strongly monotone pseudo-gradients. We present a convergent…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , Maryam Kamgarpour

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

This work proposes a policy learning algorithm for seeking generalised feedback Nash equilibria (GFNE) in $N_P$-player noncooperative dynamic games. We consider linear-quadratic games with stochastic dynamics and design a best-response…

最优化与控制 · 数学 2025-06-13 Otacilio B. L. Neto , Michela Mulas , Francesco Corona

This paper proposes the first fully distributed algorithm for finding the Generalized Nash Equilibrium (GNE) of a non-cooperative game with shared coupling constraints and general cost coupling at a user-prescribed finite time T. As a…

最优化与控制 · 数学 2026-03-24 Liraz Mudrik , Isaac Kaminer , Sean Kragelund , Abram H. Clark

Decentralized online learning for seeking generalized Nash equilibrium (GNE) of noncooperative games in dynamic environments is studied in this paper. Each player aims at selfishly minimizing its own time-varying cost function subject to…

最优化与控制 · 数学 2021-05-14 Min Meng , Xiuxian Li , Yiguang Hong , Jie Chen , Long Wang
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