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:
“Partisanship should be kept out of the pulpit.... The blindest of partisans are preachers. All politicians expect and find more candor, fairness, and truth in politicians than in partisan preachers. They are not replied to—no chance to reply to them.... The balance wheel of free institutions is free discussion. The pulpit allows no free discussion.”
—Rutherford Birchard Hayes (1822–1893)
“The family environment in which your children are growing up is different from that in which you grew up. The decisions our parents made and the strategies they used were developed in a different context from what we face today, even if the “content” of the problem is the same. It is a mistake to think that our own experience as children and adolescents will give us all we need to help our children. The rules of the game have changed.”
—Lawrence Kutner (20th century)