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Comparison theorems for forward backward SDEs

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  • Wu, Zhen
  • Xu, Mingyu

Abstract

We prove some comparison theorems for forward backward SDEs in 1-dimension or multi-dimension by probabilistic method and duality technique.

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  • Wu, Zhen & Xu, Mingyu, 2009. "Comparison theorems for forward backward SDEs," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 426-435, February.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:4:p:426-435
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    References listed on IDEAS

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    1. Geiß, Christel & Manthey, Ralf, 1994. "Comparison theorems for stochastic differential equations in finite and infinite dimensions," Stochastic Processes and their Applications, Elsevier, vol. 53(1), pages 23-35, September.
    2. 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.
    3. Wu, Zhen, 1999. "The comparison theorem of FBSDE," Statistics & Probability Letters, Elsevier, vol. 44(1), pages 1-6, August.
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    1. Ma, Jin & Yin, Hong & Zhang, Jianfeng, 2012. "On non-Markovian forward–backward SDEs and backward stochastic PDEs," Stochastic Processes and their Applications, Elsevier, vol. 122(12), pages 3980-4004.
    2. Dianetti, Jodi, 2023. "Strong Solutions to Submodular Mean Field Games with Common Noise and Related McKean-Vlasov FBSDES," Center for Mathematical Economics Working Papers 674, Center for Mathematical Economics, Bielefeld University.
    3. Rene Carmona & Francois Delarue & Gilles-Edouard Espinosa & Nizar Touzi, 2012. "Singular Forward-Backward Stochastic Differential Equations and Emissions Derivatives," Papers 1210.5773, arXiv.org.
    4. Xanthi-Isidora Kartala & Nikolaos Englezos & Athanasios N. Yannacopoulos, 2020. "Future Expectations Modeling, Random Coefficient Forward–Backward Stochastic Differential Equations, and Stochastic Viscosity Solutions," Mathematics of Operations Research, INFORMS, vol. 45(2), pages 403-433, May.

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