A Verification Theorem for Feedback Nash Equilibrium in Multiple-Player Nonzero-Sum Impulse Game
Dear Editor, This letter addresses the impulse game problem for a general scope of deterministic, multi-player, nonzero-sum differential games wherein all participants adopt impulse controls. Our objective is to formulate this impulse game problem with the modified objective function including interaction costs among the players in a discontinuous fashion, and subsequently, to derive a verification theorem for identifying the feedback Nash equilibrium strategy.
Authors
- Xiaojie Su (ORCID: https://orcid.org/0000-0003-1802-0264)
- Jiangshuai Huang (ORCID: https://orcid.org/0000-0003-4735-2479)
- Yaoyao Tan (ORCID: https://orcid.org/0000-0001-7015-453X)
- Ruihai Li (ORCID: https://orcid.org/0000-0002-1355-7532)
Institutions
- Chongqing University (CN)
Publication Details
- Journal
- IEEE/CAA Journal of Automatica Sinica
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1109/jas.2024.124752
- Citations
- 8
- Primary Topic
- Game Theory and Applications
- Type
- article
- Field-Weighted Citation Impact
- 16.85
Funders
- National Natural Science Foundation of China
- China Postdoctoral Science Foundation
- Fundamental Research Funds for the Central Universities