Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE. time-inconsistent optimal stochastic control and optimal stopping problems. We'll publish them on our site once we've reviewed them. We develop the dynamic programming approach for the stochastic optimal control problems. The system designer assumes, in a Bayesian probability-driven fashion, that random noise with known probability distribution affects the evolution and observation of the state variables. Within a general abstract framework, we show that any optimal control problem in standard form can be translated into a stochastic target problem as defined in Soner and Touzi (2002) , whenever the underlying filtered probability space admits a suitable martingale representation property.This provides a unified way of treating these two classes of stochastic control problems. Control Optim., 54 (2016), pp. To give a sense to (1.6), we therefore This is done by appealing to the geometric dynamic principle of Soner and Touzi [21]. We demonstrate how a time-inconsistent problem can often be re-written in terms of a sequential optimization problem involving the value function of a time-consistent optimal control problem in a higher-dimensional state-space. We study the stochastic control problem of maximizing expected utility from terminal wealth, when the wealth process is subject to shocks produced by a general marked point process; the problem of the agent is to derive the optimal allocation of his wealth between investments in a nonrisky asset and in a (costly) insurance strategy which allows âloweringâ the level of the shocks. 2. The stochastic control problem (1.1) being non-standard, we rst need to establish a dynamic programming principle for optimal control under stochastic constraints. Of course there is a multitude of other applications, such as optimal dividend setting, optimal entry and exit problems, utility indi erence valuation and so on. 1. Shiba Library TEXT ID 910571248 Online PDF Ebook Epub Library springerbriefs in statistics posted by stan and jan berenstainmedia publishing text id 31052ce64 online pdf ebook epub library a stochastic optimal control problem then it is by Nizar Touzi. You submitted the following rating and review. Fields Institute Monographs (Book 29) Thanks for Sharing! The second part is devoted to the class of stochastic target problems, which extends in a nontrivial way the standard stochastic control problems. A stochastic control approach to no-arbitrage bounds given marginals, with an application to lookback options A Galichon, P Henry-Labordere, N Touzi The Annals of Applied Probability 24 (1), 312-336 , 2014 The general approach will be described and several subclasses of problems will also be discussed including: ... H.M. 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