Before revision:  The key technique is the interplay between the local well-posedness of fully coupled path-dependent forward backward stochastic differential equations  and backward iterations of the superquadratic BSDE. The superquadratic BSDE  in this article includes quadratic BSDEs appear in stochastic differential game and price impact model.
After revision:  The key technique is the interplay between the local well-posedness of fully coupled path-dependent forward backward stochastic differential equations (FBSDEs) and backward iterations of the superquadratic BSDE. The superquadratic BSDE in this article includes quadratic BSDEs appear in stochastic differential game and price impact model.