TY - GEN
T1 - Generalized Nash Equilibrium Seeking Strategy for Nonsmooth Noncooperative Game with Equality Constraints
AU - Jiang, Xinrui
AU - Xin, Zhaorui
AU - Qin, Sitian
AU - Feng, Jiqiang
AU - Li, Guocheng
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - This article discusses the problem of Nash equilibrium seeking for noncooperative game with equality constraints. In the problem, each player desires to maximize its nonsmooth payoff function which depends on both its own strategy and the strategy of other players. Besides, the game-player is subjected to private local equality constraints. We use a l1 penalty function to deal with the equality constraints and a Nash equilibrium seeking strategy is designed on the basis of differential inclusions and subgradient methods. And we show that the strategy of player is exponentially convergent to the Nash equilibrium with Lyapunov methods. Finally, a numerical example is presented to illustrate the validity of our theoretical results.
AB - This article discusses the problem of Nash equilibrium seeking for noncooperative game with equality constraints. In the problem, each player desires to maximize its nonsmooth payoff function which depends on both its own strategy and the strategy of other players. Besides, the game-player is subjected to private local equality constraints. We use a l1 penalty function to deal with the equality constraints and a Nash equilibrium seeking strategy is designed on the basis of differential inclusions and subgradient methods. And we show that the strategy of player is exponentially convergent to the Nash equilibrium with Lyapunov methods. Finally, a numerical example is presented to illustrate the validity of our theoretical results.
KW - Nash equilibrium seeking
KW - exponential convergence
KW - noncooperative games
KW - nonsmooth analysis
UR - https://www.scopus.com/pages/publications/85136083570
U2 - 10.1109/ICACI55529.2022.9837580
DO - 10.1109/ICACI55529.2022.9837580
M3 - 会议稿件
AN - SCOPUS:85136083570
T3 - 2022 14th International Conference on Advanced Computational Intelligence, ICACI 2022
SP - 106
EP - 110
BT - 2022 14th International Conference on Advanced Computational Intelligence, ICACI 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 14th International Conference on Advanced Computational Intelligence, ICACI 2022
Y2 - 15 July 2022 through 17 July 2022
ER -