Work

Incentive feedback Stackelberg strategy for the mean‐field type Itô stochastic systems with Poisson jumps

Year: 2026

Type: article

Abstract: This paper proposes an incentive Stackelberg strategy for the mean‐field type Itô stochastic systems with Poisson jumps in finite horizon and infinite horizon, respectively. Unlike the regular Stackelberg strategy, the obtained incentive Stackelberg strategy allows the leader to achieve his desired goal, that is, attaining his global optimum. Also, the mean‐square stability of the system is investigated, and it can be achieved by the follower. In addition, an algorithm procedure is introduced to derive the incentive feedback Stackelberg strategy in an infinite horizon. Finally, two examples are provided to highlight the effectiveness of the proposed results.

Source: Asian Journal of Control

DOI: 10.1002/asjc.70064

Authors: Shuaichen Geng, Yaning Lin

Institution: Shandong University of Technology

Language: English

Topic: Stochastic processes and financial applications

Subfield: Finance

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: bronze

Funder: Natural Science Foundation of Shandong Province

Award: G8221421954