论文标题
零和转换游戏,反射的向后SDES系统和双边互连障碍物的抛物线PDE
Zero-sum Switching Game, Systems of Reflected Backward SDEs and Parabolic PDEs with bilateral interconnected obstacles
论文作者
论文摘要
在本文中,我们研究了一个零和验证定理,其验证定理是根据反射的后向后随机微分方程(简称为RBSDES),具有双边互连障碍物,也可以用双边互连的障碍物或具有双侧偏微分方程(PDES中的PDES)系统,而双向互连障碍物则是。我们表明,每个系统都有一个独特的解决方案。然后我们证明游戏具有价值。
In this paper we study a zero-sum switching game and its verification theorems expressed in terms of either a system of Reflected Backward Stochastic Differential Equations (RBSDEs in short) with bilateral interconnected obstacles or a system of parabolic partial differential equations (PDEs in short) with bilateral interconnected obstacles as well. We show that each one of the systems has a unique solution. Then we show that the game has a value.