Incentive feedback Stackelberg strategy for stochastic systems with state-dependent noise

Incentive feedback Stackelberg strategy for stochastic systems with state-dependent noise
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具有状态相关噪声的随机系统的激励反馈 Stackelberg 策略

DOI:
10.1016/j.jfranklin.2022.01.003
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发表时间:
2022-01
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Weihai Zhang
Weihai Zhang
中科院分区:
其他
文献类型:
--
作者:
Yaning Lin;Wenhui Gao;Weihai Zhang

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This paper designs an incentive strategy for a class of stochastic Stackelberg games in finite horizon and infinite horizon, respectively. The obtained incentive Stackelberg strategy works well in the sense that the leader will get his desired solution in the end. Different from the existing works, the state-dependent noise is considered in the design of the incentive Stackelberg strategy. Moreover, the mean-square stabilization can be guaranteed by the follower. The algorithm procedure is put forward to obtain effectively the incentive feedback Stackelberg strategy in infinite horizon. Finally, two examples are given to shed light on the effectiveness of the proposed algorithm procedure.
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