Two players, Maker and Breaker, play in alternating turns, with Maker playing first. Initially all edges of Λ are marked as unsafe. On each of her turns, Maker ...

Jun 29, 2019 · We consider the following positional game. Two players, Maker and Breaker, play in alternating turns. Initially all edges of \Lambda are marked ...

Jun 26, 2020 · Abstract. Let Λ be an infinite connected graph, and let v0 be a vertex of Λ. We consider the following positional game. Two players, Maker ...

Maker-breaker percolation games II: escaping to infinity. (English summary) ... Nicholas Day, Victor Falgas-Ravry, Maker-Breaker percolation games I: crossing.

Nov 1, 2021 · We consider the following positional game. Two players, Maker and Breaker, play in alternating turns. Initially all edges of Λ are marked as ...

The two players, say Black and White, pick alternately an unplayed edge. A move of Black consists of deleting the chosen edge. A move of White consists of ...

Sep 15, 2020 · Maker wins the game if she manages to claim all the edges of a crossing path joining the left-hand side of the board to its right-hand side, otherwise Breaker ...

25 References · Maker-breaker percolation games II: Escaping to infinity · Asymptotic random graph intuition for the biased connectivity game · Positional games on ...

Nicholas Day and Victor Falgas-Ravry. Maker-breaker percolation games II: escaping to infinity. Journal of Combinatorial Theory, Series B, 151: 482–508, 2021.

Jan 31, 2019 · Maker-Breaker games are an important class of combinatorial positional games played between two players, Maker and Breaker.