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Noticing that physical limitations are ubiquitous in practical engineering systems, this paper considers Nash equilibrium seeking for games in systems where the control inputs are bounded. More specifically, first-order integrator-type…

最优化与控制 · 数学 2020-09-29 Maojiao Ye

The problem of the distributed Nash equilibrium seeking for aggregative games has been studied over strongly connected and weight-balanced static networks and every time strongly connected and weight-balanced switching networks. In this…

最优化与控制 · 数学 2024-05-14 Zhaocong Liu , Jie Huang

The multi-cluster games are addressed in this paper, where all players team up with the players in the cluster that they belong to, and compete against the players in other clusters to minimize the cost function of their own cluster. The…

系统与控制 · 电气工程与系统科学 2023-06-19 Zhenhua Deng , Yan Zhao

This paper explores distributed aggregative games in multi-agent systems. Current methods for finding distributed Nash equilibrium require players to send original messages to their neighbors, leading to communication burden and privacy…

系统与控制 · 电气工程与系统科学 2024-05-07 Wei Huo , Xiaomeng Chen , Kemi Ding , Subhrakanti Dey , Ling Shi

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

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

The distributed computation of a Nash equilibrium (NE) for non-cooperative games is gaining increased attention recently. Due to the nature of distributed systems, privacy and communication efficiency are two critical concerns. Traditional…

系统与控制 · 电气工程与系统科学 2024-05-09 Xiaomeng Chen , Wei Huo , Kemi Ding , Subhrakanti Dey , Ling Shi

We propose fully-distributed algorithms for Nash equilibrium seeking in aggregative games over networks. We first consider the case where local constraints are present and we design an algorithm combining, for each agent, (i) the projected…

系统与控制 · 电气工程与系统科学 2024-04-04 Guido Carnevale , Filippo Fabiani , Filiberto Fele , Kostas Margellos , Giuseppe Notarstefano

Successful algorithms have been developed for computing Nash equilibrium in a variety of finite game classes. However, solving continuous games -- in which the pure strategy space is (potentially uncountably) infinite -- is far more…

计算机科学与博弈论 · 计算机科学 2021-06-02 Sam Ganzfried

This paper aims to design a distributed coordination algorithm for solving a multi-agent decision problem with a hierarchical structure. The primary goal is to search the Nash equilibrium of a noncooperative game such that each player has…

最优化与控制 · 数学 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

In this work, we present a novel characterization of approximate Nash equilibria in a class of convex games over the simplex. To achieve this, we regularize the utility functions using the Shannon entropy term, connect the solutions to the…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , S. Rasoul Etesami

We consider the problem of computing a mixed-strategy generalized Nash equilibrium (MS-GNE) for a class of games where each agent has both continuous and integer decision variables. Specifically, we propose a novel Bregman…

最优化与控制 · 数学 2022-06-14 Wicak Ananduta , Sergio Grammatico

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

In this paper, we propose a distributed primal-dual algorithm for computation of a generalized Nash equilibrium (GNE) in noncooperative games over network systems. In the considered game, not only each player's local objective function…

最优化与控制 · 数学 2019-12-10 Peng Yi , Lacra Pavel

The Nash equilibrium problem is a widely used tool to model non-cooperative games. Many solution methods have been proposed in the literature to compute solutions of Nash equilibrium problems with continuous strategy sets, but, besides some…

最优化与控制 · 数学 2015-12-03 Simone Sagratella

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

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

Robots navigating in crowded areas should negotiate free space with humans rather than fully controlling collision avoidance, as this can lead to freezing behavior. Game theory provides a framework for the robot to reason about potential…

机器人学 · 计算机科学 2024-11-27 Max Muchen Sun , Francesca Baldini , Katie Hughes , Peter Trautman , Todd Murphey

We consider distributed learning problem in games with an unknown cost-relevant parameter, and aim to find the Nash equilibrium while learning the true parameter. Inspired by the social learning literature, we propose a distributed…

最优化与控制 · 数学 2023-03-14 Shijie Huang , Jinlong Lei , Yiguang Hong

This paper considers a class of strategic scenarios in which two networks of agents have opposing objectives with regards to the optimization of a common objective function. In the resulting zero-sum game, individual agents collaborate with…

最优化与控制 · 数学 2012-12-24 Bahman Gharesifard , Jorge Cortes