impartial games
Impartial games are a type of game in which the available moves and options are the same for all players, regardless of their position or turn. This means that the game's rules do not favor one player over another, creating a level playing field. A common example of an impartial game is Nim, where players take turns removing objects from piles, and the player who cannot make a move loses.
In impartial games, the strategy often revolves around analyzing the game's state and determining the best possible moves. These games can be studied using concepts from combinatorial game theory, which helps players understand winning strategies and outcomes based on the current configuration of the game.