Necessary and Sufficient Condition for Two-Player Stackelberg Strategy

被引：52

作者：

Xu, Juanjuan ^{[1
]}

Zhang, Huanshui ^{[1
]}

Chai, Tianyou ^{[2
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Liaoning, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Leader-follower; necessary and sufficient condition; Riccati equation; Stackelberg strategy; ZERO-SUM GAMES; DISCRETE-TIME; DIFFERENTIAL-GAMES; RICCATI-EQUATIONS; 2-PERSON; NASH;

D O I：

10.1109/TAC.2014.2346460

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note revisits the open-loop Stackelberg strategy for a two-player game. By introducing a new costate, which captures the future information of the control input, we present a necessary and sufficient condition for the existence and uniqueness of the two-player game. The optimal strategy is designed in terms of three decoupled and symmetric Riccati equations which improves the existing results greatly on computation.

引用

页码：1356 / 1361

页数：6

共 50 条

[21] Two-player LQ Stackelberg difference game with open-loop strategy under stochastic discrete-time dynamics in finite horizon
Lin, Yaning
Geng, Shuaichen
Zhang, Weihai
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 463
[22] Two-player nonlinear Stackelberg differential game via off-policy integral reinforcement learning
Cui, Xiaohong
Chen, Jiayu
Cui, Yang
Xu, Suan
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (08):
[23] Parameterized Two-Player Nash Equilibrium
Hermelin, Danny
Huang, Chien-Chung
Kratsch, Stefan
Wahlstroem, Magnus
GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE, 2011, 6986 : 215 - +
[24] Self-Triggered Finite Time Pursuit Strategy for a Two-Player Game
Mulla, Ameer K.
IFAC PAPERSONLINE, 2020, 53 (02): : 2759 - 2764
[25] Pure strategy equilibria in symmetric two-player zero-sum games
Peter Duersch
Jörg Oechssler
Burkhard C. Schipper
International Journal of Game Theory, 2012, 41 : 553 - 564
[26] Sufficient Conditions for Optimality and Asymptotic Stability in Two-Player Zero-Sum Hybrid Games
Leudo, Santiago J.
Sanfelice, Ricardo G.
HSCC 2022: PROCEEDINGS OF THE 25TH ACM INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL (PART OF CPS-IOT WEEK 2022), 2022,
[27] The graph structure of two-player games
Biggar, Oliver
Shames, Iman
SCIENTIFIC REPORTS, 2023, 13 (01)
[28] Heterogeneity in a Class of Two-Player Games
Figuieres, Charles
Rychen, Frederic
ECONOMICS BULLETIN, 2011, 31 (01): : 426 - 435
[29] A two-player iterated survival game
Wakeley, John
Nowak, Martin
THEORETICAL POPULATION BIOLOGY, 2019, 125 : 38 - 55
[30] Sufficient Conditions for Optimality and Asymptotic Stability in Two-Player Zero-Sum Hybrid Games
Jimenez Leudo, Santiago
Sanfelice, Ricardo G
HSCC 2022 - Proceedings of the 25th ACM International Conference on Hybrid Systems: Computation and Control, Part of CPS-IoT Week 2022, 2022,

← 1 2 3 4 5 →