2015/07/17 by Saïd Hamadène, Hamadene, Said, Xuzhe Zhao +1
Mathematics · Economics, Econometrics and Finance · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1507.05013
In this paper, we study systems of nonlinear second-order variational inequalities with interconnected bilateral obstacles with non-local terms. They are of min-max and max-min types and related to a multiple modes zero-sum switching game in the jump-diffusion model. Using systems of penalized reflected backward SDEs with jumps and unilateral interconnected obstacles, and their associated deterministic functions, we construct for each system a continuous viscosity solution which is unique in the class of functions with polynomial growth.