  In this paper we find viscosity solutions to an elliptic system governed by
two different operators (the Laplacian and the infinity Laplacian) using a
probabilistic approach. We analyze a game that combines the Tug-of-War with
Random Walks in two different boars. We show that these value functions
converge uniformly to a viscosity solution of the elliptic system as the step
size goes to zero.
  In addition, we show uniqueness for the elliptic system using pure PDE
techniques.
