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• W1543184592 abstract "We study optimal stochastic control problems for non-Markovian stochastic differential equations (SDEs) where the drift, diffusion coefficients and gain functionals are path-dependent, and importantly we do not make any ellipticity assumptions on the SDE. We develop a control randomization approach and prove that the value function can be reformulated under a family of dominated measures on an enlarged filtered probability space. This value function is then characterized by a backward SDE with nonpositive jumps under a single probability measure, which can be viewed as a path-dependent version of the Hamilton–Jacobi–Bellman equation, and an extension to $G$-expectation." @default.
• W1543184592 created "2016-06-24" @default.
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• W1543184592 date "2015-08-01" @default.
• W1543184592 modified "2023-09-25" @default.
• W1543184592 title "Randomized and backward SDE representation for optimal control of non-Markovian SDEs" @default.
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• W1543184592 doi "https://doi.org/10.1214/14-aap1045" @default.
• W1543184592 hasPublicationYear "2015" @default.
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