Stochastic Differential Games: A Sampling Approach via FBSDEs

被引：0
作者：
Ioannis Exarchos
Evangelos Theodorou
Panagiotis Tsiotras
机构：
[1] Georgia Institute of Technology,Department of Aerospace Engineering
来源：
Dynamic Games and Applications | 2019年 / 9卷
关键词：
Stochastic differential games; Forward and backward stochastic differential equations; Numerical methods; Iterative algorithms;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this work is to present a sampling-based algorithm designed to solve various classes of stochastic differential games. The foundation of the proposed approach lies in the formulation of the game solution in terms of a decoupled pair of forward and backward stochastic differential equations (FBSDEs). In light of the nonlinear version of the Feynman–Kac lemma, probabilistic representations of solutions to the nonlinear Hamilton–Jacobi–Isaacs equations that arise for each class are obtained. These representations are in form of decoupled systems of FBSDEs, which may be solved numerically.
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页码：486 / 505
页数：19
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