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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-…

Optimization and Control · Mathematics 2022-09-05 Maojiao Ye , Lei Ding , Jizhao Yin

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…

Optimization and Control · Mathematics 2020-09-29 Maojiao Ye

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…

Optimization and Control · Mathematics 2017-03-28 Maojiao Ye , Guoqiang Hu

Distributed Nash equilibrium seeking for games in uncertain networked systems without a prior knowledge about control directions is explored in this paper. More specifically, the dynamics of the players are supposed to be first-order or…

Optimization and Control · Mathematics 2020-09-29 Maojiao Ye , Shengyuan Xu , Jizhao Yin

In this paper, a multi-cluster game with high-order players is investigated. Different from the well-known multi-cluster games, the dynamics of players are taken into account in our problem. Due to the high-order dynamics of players,…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Zhenhua Deng , Yangyang Liu

This paper aims to accommodate games in which the players' dynamics are subject to un-modeled and disturbance terms. The un-modeled and disturbance terms are regarded as extended states for which observers are designed to estimate them.…

Optimization and Control · Mathematics 2020-04-22 Maojiao Ye

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…

Optimization and Control · Mathematics 2024-11-05 Jie Huang

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…

Systems and Control · Electrical Eng. & Systems 2021-12-17 Zhenhua Deng , Jin Luo

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…

Systems and Control · Electrical Eng. & Systems 2021-01-11 Yutao Tang , Peng Yi

In this paper, we study a distributed continuous-time design for aggregative games with coupled constraints in order to seek the generalized Nash equilibrium by a group of agents via simple local information exchange. To solve the problem,…

Optimization and Control · Mathematics 2022-06-14 Shu Liang , Peng Yi , Yiguang Hong

The design of Nash equilibrium seeking strategies for games in which the involved players are of second-order integrator-type dynamics is investigated in this paper. Noticing that velocity signals are usually noisy or not available for…

Optimization and Control · Mathematics 2020-06-18 Maojiao Ye , Jizhao Yin , Le Yin

This paper proposes a distributed algorithm to find the Nash equilibrium in a class of non-cooperative convex games with partial-decision information. Our method employs a distributed projected gradient play approach alongside consensus…

Computer Science and Game Theory · Computer Science 2024-12-13 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedić

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…

Optimization and Control · Mathematics 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

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…

Optimization and Control · Mathematics 2022-04-19 Yutao Tang , Peng Yi , Yanqiong Zhang , Dawei Liu

This paper considers a distributed gossip approach for finding a Nash equilibrium in networked games on graphs. In such games a player's cost function may be affected by the actions of any subset of players. An interference graph is…

Computer Science and Game Theory · Computer Science 2020-04-10 Farzad Salehisadaghiani , Lacra Pavel

This paper considers a distributed Nash equilibrium seeking problem, where the players only have partial access to other players' actions, such as their neighbors' actions. Thus, the players are supposed to communicate with each other to…

Optimization and Control · Mathematics 2020-03-31 Yipeng Pang , Guoqiang Hu

This paper considers the design of fully distributed Nash equilibrium seeking strategies for multi-agent games. To develop fully distributed seeking strategies, two adaptive control laws, including a node-based control law and an edge-based…

Optimization and Control · Mathematics 2019-12-03 Maojiao Ye , Guoqiang Hu

This paper investigates the Nash equilibrium seeking problems for networked games with intermittent communication, where each player is capable of communicating with other players intermittently over a strongly connected and directed graph.…

Optimization and Control · Mathematics 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

In this paper, we study the distributed generalized Nash equilibrium seeking problem of non-cooperative games in dynamic environments. Each player in the game aims to minimize its own time-varying cost function subject to a local action…

Optimization and Control · Mathematics 2020-04-02 Kaihong Lu , Guangqi Li , Long Wang

In this paper, we consider the problem of finding a Nash equilibrium in a multi-player game over generally connected networks. This model differs from a conventional setting in that players have partial information on the actions of their…

Optimization and Control · Mathematics 2019-12-10 Farzad Salehisadaghiani , Wei Shi , Lacra Pavel
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