期刊
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
卷 8, 期 2, 页码 1023-1033出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCNS.2021.3056034
关键词
Continuous-time coordinated dynamics; coupling constraints; digraphs; generalized Nash equilibrium (NE) problem
资金
- National Natural Science Foundation of China [62073076, 61673104, 61722303]
- National Ten Thousand Talent Program for Young Top-notch Talents [W2070082]
- Jiangsu Provincial Key Laboratory of Networked Collective Intelligence [BM2017002]
- Natural Science Foundation of Jiangsu Province of China [BK20170079]
- Six Talent Peaks of Jiangsu Province [2019-DZXX-006]
- Fundamental Research Funds for the Central Universities [3207012001A3]
- National Science Foundation [ECCS-1920798]
This article studies a generalized Nash equilibrium problem with coupling equality constraints and local action sets. It proposes continuous-time coordination dynamics for different communication topologies, and theoretically shows the effectiveness of the dynamics in solving the Nash equilibrium problem under certain conditions. The theoretical results are illustrated through numerical simulations.
This article studies a generalized Nash equilibrium problem with coupling equality constraints and local action sets, where the cost function of each player has a general form that depends on the actions of other players in this game. In the case that the players cannot directly use the others' actions, all players are allowed to estimate their opponents' actions by communicating with their neighbors over a digraph. In this regard, continuous-time coordination dynamics are proposed for two kinds of directed communication topologies including weight-balanced and weight-unbalanced digraphs. When the pseudogradient is strongly monotone and Lipschitz continuous as well as the extended pseudogradient is Lipschitz continuous, it is theoretically shown that the proposed dynamics could solve the generalized Nash equilibrium problem with and without local action sets, respectively. Finally, the obtained theoretical results are illustrated by numerical simulations.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据