Open Access
| Issue |
ESAIM: COCV
Volume 31, 2025
|
|
|---|---|---|
| Article Number | 97 | |
| Number of page(s) | 37 | |
| DOI | https://doi.org/10.1051/cocv/2025083 | |
| Published online | 05 December 2025 | |
- H. von Stackelberg, Marktform und Gleichgewicht. Springer, Vienna (1934). (An English translation appeared in The Theory of The Market Economy, Oxford University Press, UK (1952).) [Google Scholar]
- A. Bagchi and T. Basar, Stackelberg strategies in linear-quadratic stochastic differential games. J. Optim. Theory Appl. 35 (1981) 443-464. [Google Scholar]
- J. Yong, A leader-follower stochastic linear quadratic differential game. SIAM J. Control Optim. 41 (2002) 1015-1041. [Google Scholar]
- A. Bensoussan, S. Chen and S.P. Sethi, The maximum principle for global solutions of stochastic Stackelberg differential games. SIAM J. Control Optim. 53 (2015) 1956-1981. [Google Scholar]
- J. Shi, G. Wang and J. Xiong, Leader-follower stochastic differential game with asymmetric information and applications. Automatica 63 (2016) 60-73. [Google Scholar]
- J. Shi, G. Wang and J. Xiong, Linear-quadratic stochastic Stackelberg differential game with asymmetric information. Sci. China Infor. Sci. 60 (2017) 092202. [Google Scholar]
- Z. Li, D. Marelli, M. Fu, Q. Cai and W. Meng, Linear quadratic Gaussian Stackelberg game under asymmetric information patterns. Automatica 125 (2021) 109406. [Google Scholar]
- N. Li and Z. Yu, Forward-backward stochastic differential equations and linear-quadratic generalized Stackelberg games. SIAM J. Control Optim. 56 (2018) 4148-4180. [Google Scholar]
- J. Moon and T. Basar, Linear quadratic mean field Stackelberg differential games. Automatica 97 (2018) 200-213. [Google Scholar]
- B. Wang, Leader-follower mean field LQ games: a direct approach. Asian J. Control 26 (2024) 617-625. [Google Scholar]
- Y. Zheng and J. Shi, Stackelberg stochastic differential game with asymmetric noisy observations. Int. J. Control 95 (2022) 2510-2530. [Google Scholar]
- K. Kanga and J. Shi, A three-level stochastic linear-quadratic Stackelberg differential game with asymmetric information. Proc. 35th Chinese Control and Decision Conference, May 20-22, Yichang, China (2023) 5629-5636. [Google Scholar]
- X. Feng, Y. Hu and J. Huang, Linear-quadratic two-person differential game: Nash game versus Stackelberg game, local information versus global information. ESAIM Control Optim. Calc. Var. 30 (2024) 47. [Google Scholar]
- Y. Wang and W. Wang, Partially observed mean-field Stackelberg stochastic differential game with two followers. Int. J. Control 97 (2024) 1999-2008. [Google Scholar]
- Z. Li and J. Shi, Closed-loop solvability of linear quadratic mean-field type Stackelberg stochastic differential games. Appl. Math. Optim. 90 (2024) 22. [Google Scholar]
- Y. Ho, P. Luh and G.J. Olsder, A control-theoretic view of incentives. Automatica 18 (1982) 167-180. [Google Scholar]
- Y. Zheng and T. Basar, Existence and derivations of optimal affine incentive schemes for Stackelberg games with partial information: a geometric approach. Int. J. Control 35 (1982) 997-1011. [Google Scholar]
- Y. Zheng, T. Basar and J.B. Cruz Jr., Stackelberg strategies and incentives in multiperson deterministic decision problems. IEEE Trans. Syst. Man Cybernet. 14 (1984) 10-24. [Google Scholar]
- K. Mizukami and H. Wu, Two-level incentive Stackelberg strategies in LQ differential games with two noncooperative leaders and one follower. Trans. Soc. Instrum. Control Eng. 23 (1987) 625-632. [Google Scholar]
- K. Mizukami and H. Wu, Incentive Stackelberg strategies in linear quadratic differential games with two noncoop-erative followers. System Modelling and Optimization, vol. 113. Lecture Notes in Control and Information Sciences. Springer, Berlin Heidelberg (1988) 436-445. [Google Scholar]
- T. Ishida and E. Shimemura, Three-level incentive strategies in differential games. Int. J. Control 38 (1983) 1135-1148. [Google Scholar]
- T. Ishida, Three-level incentive schemes using follower's strategies in differential games. Int. J. Control 46 (1987) 1739-1750. [Google Scholar]
- M. Li, J.B. Cruz Jr. and M.A Simaan, An approach to discrete-time incentive feedback Stackelberg games. IEEE Trans. Syst. Man Cybernet. 32 (2002) 10-24. [Google Scholar]
- H. Mukaidani, H. Xu, T. Shima and V. Dragan, A stochastic multiple-leader-follower incentive Stackelberg strategy for Markov jump linear systems. IEEE Control Syst. Lett. 1 (2017) 250-255. [Google Scholar]
- Y. Lin, W. Gao and W. Zhang, Incentive feedback Stackelberg strategy for stochastic system with state-dependent noise. J. Frankl. Inst. 359 (2022) 2058-2072. [Google Scholar]
- W. Gao, Y. Lin and W. Zhang, Incentive feedback Stackelberg strategy for the discrete-time stochastic systems. J. Frankl Inst. 360 (2023) 2404-2420. [Google Scholar]
- W. Gao, Y. Lin and W. Zhang, Incentive feedback Stackelberg strategy in mean-field type stochastic difference games. J. Syst. Sci. Complex. 37 (2024) 1425-1445. [Google Scholar]
- M. Ahmed and H. Mukaidani, HTC-constrained incentive Stackelberg game for discrete time systems with multiple non-cooperative followers. IFAC-PapersOnLine 49 (2016) 262-267. [Google Scholar]
- H. Mukaidani, H. Xu and V. Dragan, Static output-feedback incentive Stackelberg game for discrete-time Markov jump linear stochastic systems with external disturbance. IEEE Control Syst. Lett. 2 (2018) 701-706. [Google Scholar]
- M. Ahmed, H. Mukaidani and T. Shima, HTC-constrained incentive Stackelberg games for discrete-time stochastic systems with multiple followers. IET Control Theory Appl. 11 (2017) 2475-2485. [Google Scholar]
- K. Kawakami, H. Mukaidani, H. Xu and Y. Tanaka, Incentive Stackelberg-Nash strategy with disturbance attenuation for stochastic LPV systems. Proc. 2018 IEEE International Conference on Systems, Man, and Cybernetics, October 7-10, Miyazaki, Japan (2018) 3951-3955. [Google Scholar]
- H. Mukaidani, T. Shima, M. Unno, H. Xu and V. Dragan, Team-optimal incentive Stackelberg strategies for Markov jump linear stochastic systems with Η<χ> constraint. IFAC-PapersOnLine 50 (2017) 3780-3785. [Google Scholar]
- H. Mukaidani and H. Xu, Robust incentive Stackelberg games for stochastic LPV systems, Proc. 2018 IEEE Conference on Decision and Control, December 17-19, Miami Beach, USA (2018) 1059-1064. [Google Scholar]
- H. Mukaidani and H. Xu, Incentive Stackelberg games for stochastic linear systems with Η<χ> constraint. IEEE Trans. Cybernet. 49 (2019) 1463-1474. [Google Scholar]
- M. Ahmed, H. Mukaidani and T. Shima, Infinite-horizon multi-leader-follower incentive Stackelberg games for linear stochastic systems with Η<χ> constraint, Proc. SICE Annual Conference 2017, September 19-22, Kanazawa, Japan (2017) 1202-1207. [Google Scholar]
- H. Mukaidani, H. Xu, T. Shima and M. Ahmed, Multi-leader-follower incentive Stackelberg game for infinite-horizon Markov jump linear stochastic systems with HTC constraint. Proc. 2018 IEEE International Conference on Systems, Man, and Cybernetics, October 7-10, Miyazaki, Japan (2018) 3956-3963. [Google Scholar]
- H. Mukaidani, R. Saravanakumar and H. Xu, Robust incentive Stackelberg strategy for Markov jump linear stochastic systems via static output feedback. IET Control Theory Appl. 14 (2020) 1246-1254. [Google Scholar]
- H. Mukaidani, S. Irie, H. Xu and W. Zhang, Robust incentive Stackelberg games with a large population for stochastic mean-field systems. IEEE Control Syst. Lett. 6 (2022) 1934-1939. [Google Scholar]
- T. Basar and G.J. Olsder, Dynamic Noncooperative Game Theory. SIAM, Philadelphia (1999). [Google Scholar]
- B.-S. Chen and W. Zhang, Stochastic H2/H ∞ control with state-dependent noise. IEEE Trans. Autom. Control. 49 (2004) 45-57. [Google Scholar]
- D.J.N. Limebeer, B.D.O. Anderson and B. Hendel, A Nash game approach to mixed H2/HTC control. IEEE Trans. Autom. Control. 39 (1994) 69-82. [Google Scholar]
- J. Sun and J. Yong, Linear quadratic stocahastic two-person nonzero-sum differential games: Open-loop and closed-loop Nash equilibria. Stoch. Proc. Appl. 129 (2019) 381-418. [Google Scholar]
- J. Sun and J. Yong, Stochastic linear-quadratic optimal control theory: differential games and mean-field problems. Springer Briefs in Mathematics (2020). [Google Scholar]
- A. Nowicki, Z. Klimonda, M. Lewandowski, J. Litniewski, P.A. Lewin and I. Trots, Comparison of sound fields generated by different coded excitations - experimental results. Ultrasonics 44 (2006) 121-129. [Google Scholar]
- M. Ricci, L. Senni and P. Burrascano, Exploiting pseudorandom sequences to enhance noise immunity for air-coupled ultrasonic nondestructive testing. IEEE Trans. Instrum. Meas. 61 (2012) 2905-2915. [Google Scholar]
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