Avoider-Enforcer game
An Avoider-Enforcer game (also called Avoider-Forcer game or Antimaker-Antibreaker game) is a kind of positional game. Like most positional games, it is described by a set of positions/points/elements ( X {\displaystyle X} ) and a family of subsets ( F {\displaystyle {\mathcal {F}}} ), which are called here the losing-sets.