Viscosity solutions of systems of variational inequalities with interconnected bilateral obstacles of non-local type
arXiv:1507.05013
Abstract
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.
arXiv admin note: text overlap with arXiv:1211.4991
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