A partisan game is a game for which the players have different sets of available moves in at least one position. Under the last-player-wins convention, every position in a short game that is an impartial game has a nim-value (Schleicher and Stoll 2006).
Partisan Game
See also
Conway Game, Impartial GameExplore with Wolfram|Alpha
References
Schleicher, D. and Stoll, M. "An Introduction to Conway's Games and Numbers." Mosc. Math. J. 6, 359-388, 2006. https://doi.org/10.17323/1609-4514-2006-6-2-359-388.Referenced on Wolfram|Alpha
Partisan GameCite this as:
Weisstein, Eric W. "Partisan Game." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PartisanGame.html