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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

Dynamic games can be an effective approach to modeling interactive behavior between multiple non-cooperative agents and they provide a theoretical framework for simultaneous prediction and control in such scenarios. In this work, we propose…

系统与控制 · 电气工程与系统科学 2022-09-19 Edward L. Zhu , Francesco Borrelli

Save for some special cases, current training methods for Generative Adversarial Networks (GANs) are at best guaranteed to converge to a `local Nash equilibrium` (LNE). Such LNEs, however, can be arbitrarily far from an actual Nash…

机器学习 · 计算机科学 2019-11-19 Frans A. Oliehoek , Rahul Savani , Jose Gallego , Elise van der Pol , Roderich Groß

We consider a Gaussian interference channel with independent direct and cross link channel gains, each of which is independent and identically distributed across time. Each transmitter-receiver user pair aims to maximize its long-term…

信息论 · 计算机科学 2016-02-01 Krishna Chaitanya A , Utpal Mukherji , Vinod Sharma

Shared-constraint games are noncooperative $N$-player games where players are coupled through a common coupling constraint. It is known that such games admit two kinds of equilibria -- generalized Nash equilibria (GNE) and variational…

计算机科学与博弈论 · 计算机科学 2019-08-05 Ankur A. Kulkarni

Deployment of small cell base stations (SBSs) overlaying the coverage area of a macrocell BS (MBS) results in a two-tier hierarchical small cell network. Cross-tier and inter-tier interference not only jeopardize primary macrocell…

信息论 · 计算机科学 2016-12-20 Jiaheng Wang , Wei Guan , Yongming Huang , Robert Schober , Xiaohu You

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 are concerned with finding Nash Equilibria in agent-based multi-cluster games, where agents are separated into distinct clusters. While the agents inside each cluster collaborate to achieve a common goal, the clusters are considered to…

系统与控制 · 电气工程与系统科学 2021-02-19 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

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

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

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

This paper addresses the distributed Nash Equilibrium seeking problem for aggregative games, where legitimate players' decisions are affected by potential malicious players. To describe players' behavior, we introduce a novel heterogeneous…

系统与控制 · 电气工程与系统科学 2025-12-01 Kai-Yuan Guo , Yan-Wu Wang , Xiao-Kang Liu , Zhi-Wei Liu

This paper studies distributed online bandit learning of generalized Nash equilibria for online game, where cost functions of all players and coupled constraints are time-varying. The values rather than full information of cost and local…

最优化与控制 · 数学 2022-04-21 Min Meng , Xiuxian Li , Jie Chen

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

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

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

最优化与控制 · 数学 2022-04-06 Yuanhanqing Huang , Jianghai Hu

In this work, we study stochastic one-shot games where agents' utilities depend on the collective strategy profiles of other agents as well as on some well-behaved randomness. While each decision-maker is agnostic to the random variable's…

最优化与控制 · 数学 2026-05-18 Nirabhra Mandal , Sonia Martínez

We study a distributed approach for seeking a Nash equilibrium in $n$-cluster games with strictly monotone mappings. Each player within each cluster has access to the current value of her own smooth local cost function estimated by a…

计算机科学与博弈论 · 计算机科学 2021-07-28 Tatiana Tatarenko , Jan Zimmermann , Jürgen Adamy

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 2025-04-10 Mark Pustilnik , Antonio Loquercio , Francesco Borrelli

This paper considers the privacy-preserving Nash equilibrium seeking strategy design for a class of networked aggregative games, in which the players' objective functions are considered to be sensitive information to be protected. In…

最优化与控制 · 数学 2019-11-26 Maojiao Ye , Guoqiang Hu , Lihua Xie , Shengyuan Xu