A Maker-Breaker game is a two-player positional game on a specified board
with a family of target subsets
of
.
In the unbiased version, Maker moves first and the players alternate claiming one
previously unclaimed board element. Maker wins by occupying
every element of a target subset.
Breaker seeks to prevent this.
In a polyomino achievement game, the board is the square point lattice and targets are allowed copies of a fixed polyomino. The Snaky target provides a six-cell example. On a finite board, Breaker wins if the board is exhausted without a completed target.