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

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