Requirements All impartial games must meet the following conditions: Two players must alternate turns until a final state is reached. A winner is chosen when one player may no longer change position or make any operation. There must be a finite number of operations and positions for both players. For example, in Nim, players must take away a subset of a stack that is currently in play. As there is a finite number of coins in any stack, a player may only remove a finite number of coins. All operations must be able to be done by both sides. In all Impartial games, the players are making actions to some game board whether in the form of stacks for Nim or rows and columns Cram. Both players are acting on the board till the board can no longer change in some way. No action in the game may be reliant on chance. Any inclusion of chance would mean there is not perfect information about the game, furthermore actions could not be minmaxed ruling out any form inductive strategy.
Requirements All impartial games must? meet the following conditions: Two players must alternate turns until a final state is reached. A winner is chosen when one player may no longer change position or make any operation. There must be a finite number of operations and positions for both players. For example, in Nim, players must take away a subse:t of a .stack that is currently in play. As there is a finite number of coins in any stack, a player may only remove a finite number of coins. All operations must be able to be done by both sides. In all Impartial games, the players are making actions to some game board whether in the form of stacks for Nim or rows and columns Cram. Both players are acting on the board till the board can no longer change in some way. No action in the game may be reliant on chance. Any inclusion of chance would mean there is not perfect information about the game, furthermore actions could not be minmaxed ruling out any :form inductive strategy.