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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

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…

最优化与控制 · 数学 2023-03-20 Yuanhanqing Huang , Jianghai Hu

We consider a class of multi-robot motion planning problems where each robot is associated with multiple objectives and decoupled task specifications. The problems are formulated as an open-loop non-cooperative differential game. A…

多智能体系统 · 计算机科学 2014-02-18 Minghui Zhu , Michael Otte , Pratik Chaudhari , Emilio Frazzoli

In this paper, we aim to develop distributed continuous-time algorithms over directed graphs to seek the Nash equilibrium in a noncooperative game. Motivated by the recent consensus-based designs, we present a distributed algorithm with a…

最优化与控制 · 数学 2022-04-19 Yutao Tang , Peng Yi , Yanqiong Zhang , Dawei Liu

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

We present a fully-distributed algorithm for Nash equilibrium seeking in aggregative games over networks. The proposed scheme endows each agent with a gradient-based scheme equipped with a tracking mechanism to locally reconstruct the…

系统与控制 · 电气工程与系统科学 2025-05-28 Guido Carnevale , Filippo Fabiani , Filiberto Fele , Kostas Margellos , Giuseppe Notarstefano

We design a distributed algorithm to seek generalized Nash equilibria of a robust game with uncertain coupled constraints. Due to the uncertainty of parameters in set constraints, we aim to find a generalized Nash equilibrium in the worst…

最优化与控制 · 数学 2022-04-05 Gehui Xu , Guanpu Chen , Hongsheng Qi

In this paper, Nash equilibrium seeking among a network of players is considered. Different from many existing works on Nash equilibrium seeking in non-cooperative games, the players considered in this paper cannot directly observe the…

最优化与控制 · 数学 2017-03-28 Maojiao Ye , Guoqiang Hu

This paper investigates online stochastic aggregative games subject to local set constraints and time-varying coupled inequality constraints, where each player possesses a time-varying expectation-valued cost function relying on not only…

最优化与控制 · 数学 2025-11-18 Kaixin Du , Min Meng

In this paper, we aim to design a distributed approximate algorithm for seeking Nash equilibria of an aggregative game. Due to the local set constraints of each player, projectionbased algorithms have been widely employed for solving such…

最优化与控制 · 数学 2021-08-30 Gehui Xu , Guanpu Chen , Hongsheng Qi , Yiguang Hong

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 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 paper considers a game-theoretic framework for distributed machine learning problems over networks where the information acquisition at a node is modeled as a rational choice of a player. In the proposed game, players decide both the…

计算机科学与博弈论 · 计算机科学 2022-10-28 Shutian Liu , Tao Li , Quanyan Zhu

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

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

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, we propose a numerical methodology for finding the closed-loop Nash equilibrium of stochastic delay differential games through deep learning. These games are prevalent in finance and economics where multi-agent interaction…

最优化与控制 · 数学 2023-07-14 Robert Balkin , Hector D. Ceniceros , Ruimeng Hu

We address the generalized Nash equilibrium seeking problem in a partial-decision information scenario, where each agent can only exchange information with some neighbors, although its cost function possibly depends on the strategies of all…

最优化与控制 · 数学 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

This paper investigates the target tracking problem for networked robotic systems (NRSs) under sampled interaction. The target is assumed to be time-varying and described by a second-order oscillator. Two novel distributed…

系统与控制 · 计算机科学 2016-05-30 Ming-Feng Ge , Zhi-Hong Guan , Bin Hu , Ding-Xin He , Rui-Quan Liao