  The Dominative $p$-Laplacian is the operator defined for $2\le p < \infty$ as
follows: \begin{equation}\label{dominativep}
\mathcal{L}_{p}u(x)=\frac{1}{p}\left(\lambda_{1}+\ldots+\lambda_{N-1}\right)+\frac{(p-1)}{p}\lambda_{N},
  \end{equation} where we have ordered the eigenvalues of $D^{2}u(x)$ as
$\lambda_{1}\le \lambda_{2}\ldots\le\lambda_{N}$. The operator
$\mathcal{L}_{p}u(x)$ was introduced by Brustand to give a natural explanation
of the superposition principle for the $p$-Laplace equation.
  In this paper, we present a discrete stochastic approximation to the unique
viscosity solution of the Dirichlet problem for the Dominative $p$-Laplace
Equation.
