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

Numerical approximation of positive power curvature flow via deterministic games