Volume 34 (2026), Issue 2 (Special issue: "Latin American mathematics")

1. A two-player zero-sum probabilistic game that approximates the mean curvature flow

In this paper we introduce a new two-player zero-sum game whose value function approximates the level set formulation for the geometric evolution by mean curvature of a hypersurface. In our approach the game is played with symmetric rules for the two players and probability theory is involved (the game is not deterministic).