The Maker-Breaker percolation game on the square lattice

Vojtěch Dvořák, Adva Mond, Victor Souza

We study the $(m,b)$ Maker-Breaker percolation game on ${\mathbb{Z}}^2$, introduced by Day and Falgas-Ravry. As our first result, we show that Breaker has a winning strategy for the…