Sufficient Stochastic Maximum Principle in a Regime-Switching Diffusion Model

被引:0
作者
Catherine Donnelly
机构
[1] Heriot-Watt University,Department of Actuarial Mathematics and Statistics
来源
Applied Mathematics & Optimization | 2011年 / 64卷
关键词
Sufficient maximum principle; Regime-switching; Optimal control; Mean-variance portfolio selection;
D O I
暂无
中图分类号
学科分类号
摘要
We prove a sufficient stochastic maximum principle for the optimal control of a regime-switching diffusion model. We show the connection to dynamic programming and we apply the result to a quadratic loss minimization problem, which can be used to solve a mean-variance portfolio selection problem.
引用
收藏
页码:155 / 169
页数:14
相关论文
共 50 条
[21]   DIVIDEND OPTIMIZATION FOR A REGIME-SWITCHING DIFFUSION MODEL WITH RESTRICTED DIVIDEND RATES [J].
Zhu, Jinxia .
ASTIN BULLETIN, 2014, 44 (02) :459-494
[22]   Maximum principle for optimal control problems of forward-backward regime-switching system and applications [J].
Tao, Ran ;
Wu, Zhen .
SYSTEMS & CONTROL LETTERS, 2012, 61 (09) :911-917
[23]   OPTIMAL SELLING RULES IN A REGIME-SWITCHING EXPONENTIAL GAUSSIAN DIFFUSION MODEL [J].
Eloe, P. ;
Liu, R. H. ;
Yatsuki, M. ;
Yin, G. ;
Zhang, Q. .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2008, 69 (03) :810-829
[24]   Stability of regime-switching jump diffusion processes [J].
Ji, Huijie ;
Shao, Jinghai ;
Xi, Fubao .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 484 (01)
[25]   PRICING DYNAMIC FUND PROTECTION UNDER A REGIME-SWITCHING JUMP-DIFFUSION MODEL WITH STOCHASTIC PROTECTION LEVEL [J].
Xu, Chao ;
Dong, Yinghui ;
Tian, Zhaolu ;
Wang, Guojing .
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2020, 16 (06) :2603-2623
[26]   On the occupancy problem for a regime-switching model [J].
Grabchak, Michael ;
Kelbert, Mark ;
Paris, Quentin .
JOURNAL OF APPLIED PROBABILITY, 2020, 57 (01) :53-77
[27]   Sufficient Stochastic maximum principle for the optimal control of jump diffusions and applications to finance [J].
Framstad, NC ;
Oksendal, B ;
Sulem, A .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 121 (01) :77-98
[28]   Sufficient Stochastic Maximum Principle for the Optimal Control of Jump Diffusions and Applications to Finance [J].
N. C. Framstad ;
B. Øksendal ;
A. Sulem .
Journal of Optimization Theory and Applications, 2005, 124 :511-512
[29]   Sufficient Stochastic Maximum Principle for the Optimal Control of Jump Diffusions and Applications to Finance [J].
N. C. Framstad ;
B. Øksendal ;
A. Sulem .
Journal of Optimization Theory and Applications, 2004, 121 :77-98
[30]   Maximum principle for conditional mean-field FBSDEs systems with regime-switching involving impulse controls [J].
Wu, Zhen ;
Zhang, Yan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 530 (02)