A Maker-Breaker game is a triple (H, a, b), where H = (V,E) is a hypergraph with vertex set V , called the board of the game, and edge set E, a family of subsets of V called winning sets. The parameters a and b are positive integers, related to the so-called game bias. The game is played between two players, called Maker and Breaker, who change turns occupying previously unclaimed elements of V...