Maximum Principle for Markov Regime-Switching Forward–Backward Stochastic Control System with Jumps and Relation to Dynamic Programming
Author
Abstract
Suggested Citation
DOI: 10.1007/s10957-017-1068-5
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
- N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71, January.
- N. C. Framstad & B. Øksendal & A. Sulem, 2004. "Sufficient Stochastic Maximum Principle for the Optimal Control of Jump Diffusions and Applications to Finance," Journal of Optimization Theory and Applications, Springer, vol. 121(1), pages 77-98, April.
- Samuel N. Cohen & Robert J. Elliott, 2008. "Comparisons for backward stochastic differential equations on Markov chains and related no-arbitrage conditions," Papers 0810.0055, arXiv.org, revised Jan 2010.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Kuang, Daipeng & Li, Jianli & Gao, Dongdong & Luo, Danfeng, 2024. "Stochastic near-optimal control for a system with Markovian switching and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
- Zhongyang Sun & Xianping Guo, 2019. "Equilibrium for a Time-Inconsistent Stochastic Linear–Quadratic Control System with Jumps and Its Application to the Mean-Variance Problem," Journal of Optimization Theory and Applications, Springer, vol. 181(2), pages 383-410, May.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Olivier Menoukeu Pamen, 2017. "Maximum Principles of Markov Regime-Switching Forward–Backward Stochastic Differential Equations with Jumps and Partial Information," Journal of Optimization Theory and Applications, Springer, vol. 175(2), pages 373-410, November.
- Leippold, Markus & Schärer, Steven, 2017.
"Discrete-time option pricing with stochastic liquidity,"
Journal of Banking & Finance, Elsevier, vol. 75(C), pages 1-16.
- Markus Leippold & Steven Schaerer, 2016. "Discrete-Time Option Pricing with Stochastic Liquidity," Swiss Finance Institute Research Paper Series 16-15, Swiss Finance Institute.
- Chen, Xin & Yuan, Yue & Yuan, Dongmei & Ge, Xiao, 2024. "Optimal control for both forward and backward discrete-time systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 298-314.
- Akihiro Kaneko, 2023. "Multi-stage Euler-Maruyama methods for backward stochastic differential equations driven by continuous-time Markov chains," Papers 2311.08826, arXiv.org, revised Nov 2023.
- Jianjun Miao, 2009.
"Ambiguity, Risk and Portfolio Choice under Incomplete Information,"
Annals of Economics and Finance, Society for AEF, vol. 10(2), pages 257-279, November.
- Jianjun Miao, "undated". "Ambiguity, Risk and Portfolio Choice under Incomplete Information," Boston University - Department of Economics - Working Papers Series wp2009-019, Boston University - Department of Economics.
- Carole Bernard & Shaolin Ji & Weidong Tian, 2013. "An optimal insurance design problem under Knightian uncertainty," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 36(2), pages 99-124, November.
- Polynice Oyono Ngou & Cody Hyndman, 2014. "A Fourier interpolation method for numerical solution of FBSDEs: Global convergence, stability, and higher order discretizations," Papers 1410.8595, arXiv.org, revised May 2022.
- Min Dai & Yuchao Dong & Yanwei Jia & Xun Yu Zhou, 2023. "Learning Merton's Strategies in an Incomplete Market: Recursive Entropy Regularization and Biased Gaussian Exploration," Papers 2312.11797, arXiv.org.
- Yueyang Zheng & Jingtao Shi, 2020. "A Stackelberg Game of Backward Stochastic Differential Equations with Applications," Dynamic Games and Applications, Springer, vol. 10(4), pages 968-992, December.
- Huiwen Yan & Gechun Liang & Zhou Yang, 2015. "Indifference Pricing and Hedging in a Multiple-Priors Model with Trading Constraints," Papers 1503.08969, arXiv.org.
- Kyoung Jin Choi & Hyeng Keun Koo & Do Young Kwak, 2004. "Optimal Stopping of Active Portfolio Management," Annals of Economics and Finance, Society for AEF, vol. 5(1), pages 93-126, May.
- Richter, Anja, 2014. "Explicit solutions to quadratic BSDEs and applications to utility maximization in multivariate affine stochastic volatility models," Stochastic Processes and their Applications, Elsevier, vol. 124(11), pages 3578-3611.
- Olivier Menoukeu Pamen, 2015. "Optimal Control for Stochastic Delay Systems Under Model Uncertainty: A Stochastic Differential Game Approach," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 998-1031, December.
- Cetemen, Doruk & Feng, Felix Zhiyu & Urgun, Can, 2023.
"Renegotiation and dynamic inconsistency: Contracting with non-exponential discounting,"
Journal of Economic Theory, Elsevier, vol. 208(C).
- Doruk Cetemen & Felix Zhiyu Feng & Can Urgun, 2021. "Renegotiation and Dynamic Inconsistency: Contracting with Non-Exponential Discounting," Working Papers 2021-58, Princeton University. Economics Department..
- Stadje, M.A. & Pelsser, A., 2014. "Time-Consistent and Market-Consistent Evaluations (Revised version of 2012-086)," Other publications TiSEM 0841e78f-a73b-42c1-b7d4-0, Tilburg University, School of Economics and Management.
- Olivier Menoukeu-Pamen & Romuald Hervé Momeya, 2017. "A maximum principle for Markov regime-switching forward–backward stochastic differential games and applications," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 85(3), pages 349-388, June.
- Akira Kashiwabara & Nobuhiro Nakamura, 2011. "Dynamic Investment Strategies to Reaction–Diffusion Systems Based upon Stochastic Differential Utilities," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 18(2), pages 131-150, May.
- Lazrak, Ali & Zapatero, Fernando, 2004.
"Efficient consumption set under recursive utility and unknown beliefs,"
Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 207-226, February.
- Ali Lazrak & Fernando Zapatero, 2002. "Efficient Consumption Set Under Recursive Utility and Unknown Beliefs," Research Paper Series 85, Quantitative Finance Research Centre, University of Technology, Sydney.
- Suzuki, Masataka, 2016. "A representative agent asset pricing model with heterogeneous beliefs and recursive utility," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 298-315.
- Antoon Pelsser & Mitja Stadje, 2014.
"Time-Consistent And Market-Consistent Evaluations,"
Mathematical Finance, Wiley Blackwell, vol. 24(1), pages 25-65, January.
- Mitja Stadje & Antoon Pelsser, 2011. "Time-Consistent and Market-Consistent Evaluations," Papers 1109.1749, arXiv.org, revised Dec 2013.
More about this item
Keywords
Stochastic maximum principle; Regime-switching; Forward–backward stochastic differential equations; Dynamic programming; Recursive utility optimization;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:176:y:2018:i:2:d:10.1007_s10957-017-1068-5. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.