Difference game;
maximum principle;
Stackelberg strategy;
stochastic;
time delay;
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摘要:
In this paper, we study the open-loop Stackelberg strategy of stochastic Stackelberg game with time delay. The main contribution is to give the explicit Stackelberg strategy in terms of Riccati equations. The key to solving the problem is the explicit solvability of the forward and backward stochastic difference equations (FBSDEs). Moreover, the optimal costs are indicated by using the initial value of the state.
机构:
Shandong Univ, Sch Math & Stat, Zibo 255000, Peoples R China
Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R ChinaShandong Univ, Sch Math & Stat, Zibo 255000, Peoples R China
Lin, Yaning
Jiang, Xiushan
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机构:
South China Univ Technol, Sch Automat Sci & Engn, Guangzhou 510641, Guangdong, Peoples R ChinaShandong Univ, Sch Math & Stat, Zibo 255000, Peoples R China
Jiang, Xiushan
Zhang, Weihai
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机构:
Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R ChinaShandong Univ, Sch Math & Stat, Zibo 255000, Peoples R China
机构:
School of Control Science and Engineering, Shandong University, Jinan, 250061, ShandongSchool of Control Science and Engineering, Shandong University, Jinan, 250061, Shandong
Li X.
Wang W.
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机构:
School of Control Science and Engineering, Shandong University, Jinan, 250061, ShandongSchool of Control Science and Engineering, Shandong University, Jinan, 250061, Shandong
Wang W.
Xu J.
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机构:
School of Control Science and Engineering, Shandong University, Jinan, 250061, ShandongSchool of Control Science and Engineering, Shandong University, Jinan, 250061, Shandong
Xu J.
Zhang H.
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机构:
School of Control Science and Engineering, Shandong University, Jinan, 250061, ShandongSchool of Control Science and Engineering, Shandong University, Jinan, 250061, Shandong