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Stochastic Optimization Theory of Backward Stochastic Differential Equations Driven by G-Brownian Motion

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arxiv 1306.0176 v2 pith:WIGEI2EI submitted 2013-06-02 math.PR

Zhonghao Zheng , Xiuchun Bi , Shuguang Zhang This is my paper
classification math.PR
keywords stochasticdifferentialbackwardcontroldrivenequationsg-browniang-expectation
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In this paper, we consider the stochastic optimal control problems under G-expectation. Based on the theory of backward stochastic differential equations driven by G-Brownian motion, which was introduced in [10.11], we can investigate the more general stochastic optimal control problems under G-expectation than that were constructed in [28]. Then we obtain a generalized dynamic programming principle and the value function is proved to be a viscosity solution of a fully nonlinear second-order partial differential equation.

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