In game theory, a null move or pass is a decision by a player to not to make a move when it is their turn to move. Even though null moves are against the rules of many games, they are often useful to consider when analyzing these games. Examples of this include the analysis of zugzwang (a situation in chess or other games in which a null move, if it were allowed, would be better than any other move), and the null-move heuristic in game tree analysis (a method of pruning game trees involving making a null move and then searching to a lower depth).
Famous quotes containing the words null and/or move:
“A strong person makes the law and custom null before his own will.”
—Ralph Waldo Emerson (1803–1882)
“To higher or lower ends, they [the majority of mankind] move too often with something of a sad countenance, with hurried and ignoble gait, becoming, unconsciously, something like thorns, in their anxiety to bear grapes; it being possible for people, in the pursuit of even great ends, to become themselves thin and impoverished in spirit and temper, thus diminishing the sum of perfection in the world, at its very sources.”
—Walter Pater (1839–1894)