Numerical approximation of positive power curvature flow via deterministic games

We approximate the level set solution for the motion of an embedded closed curve in the plane with normal speed $\max (0,\kappa {)}^{\text{ga}}$ where $\kappa$ is the curvature of the curve and $\frac{1}{3}<\text{ga}<1$ by the value functions of a family of deterministic two person games. We show convergence of the value functions to the viscosity solution of the level set equation and propose a numerical scheme for the calculation of the value function.