Switching Game of Backward Stochastic Differential Equations and   Associated System of Obliquely Reflected Backward Stochastic Differential   Equations
  This paper is concerned with the switching game of a one-dimensional backward stochastic differential equation (BSDE). The associated Bellman-Isaacs equation is a system of matrix-valued BSDEs living in a special unbounded convex domain with reflection on the boundary along an oblique direction. In this paper, we show the existence of an adapted solution to this system of BSDEs with oblique reflection by the penalization method, the monotone convergence, and the a priori estimates. 
Ying Hu (Irmar), Shanjian Tang (School Of Mathematical Sciences)