In combinatorial game theory, a game is partisan if it is not impartial. That is, some moves are available to one player and not to the other.
Most games are partisan; for example, in chess, only one player can move the white pieces.
Partisan games are more difficult to analyze than impartial games, as the Sprague–Grundy theorem does not apply. However, the application of combinatorial game theory to partisan games allows the significance of numbers as games to be seen, in a way that is not possible with impartial games.
Famous quotes containing the words partisan and/or game:
“Democracy and Republicanism in their best partisan utterances alike declare for human rights. Jefferson, the father of Democracy, Lincoln, the embodiment of Republicanism, and the Divine author of the religion on which true civilization rests, all proclaim the equal rights of all men.”
—Rutherford Birchard Hayes (1822–1893)
“It is usual for a Man who loves Country Sports to preserve the Game in his own Grounds, and divert himself upon those that belong to his Neighbour.”
—Joseph Addison (1672–1719)