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Tic-tac-toe (American English), noughts and crosses (Commonwealth English), or Xs and Os (Canadian or Irish English) is a paper-and-pencil game for two players who take turns marking the spaces in a three-by-three grid with X or O. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row is the winner.
Strong positional game (also called Maker-Maker game) The first player to claim all of the elements of a winning set wins. If the game ends with all elements of the board claimed, but no player has claimed all elements of a winning set, it is a draw. An example is classic tic-tac-toe. Maker-Breaker game The two players are called Maker and Breaker.
A strategy-stealing argument can be used on the example of the game of tic-tac-toe, for a board and winning rows of any size. [2] [3] Suppose that the second player (P2) is using a strategy S which guarantees a win. The first player (P1) places an X in an arbitrary position. P2 responds by placing an O according to S.
However, Nim with the 1-3-5-7 starting position is a second-player-win. The classic game of Connect Four has been mathematically proven to be first-player-win. With perfect play, checkers has been determined to be a draw; neither player can force a win. [1] Another example of a game which leads to a draw with perfect play is tic-tac-toe, and ...
An incomplete game of SOS. SOS is paper and pencil game for two or more players. It is similar to tic-tac-toe and dots and boxes, but has much greater complexity. [1] SOS is a combinatorial game when played with two players. In terms of game theory, it is a zero-sum, sequential game with perfect information.
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory or computer assistance.
Notakto is a tic-tac-toe variant, also known as neutral or impartial tic-tac-toe. [1] [2] The game is a combination of the games tic-tac-toe and Nim, [1] [3] played across one or several boards with both of the players playing the same piece (an "X" or cross).
Achi is a two-player abstract strategy game from Ghana. It is also called tapatan. It is related to tic-tac-toe, but even more related to three men's morris, Nine Holes, Tant Fant, Shisima, and Dara, because pieces are moved on the board to create the 3-in-a-row. Achi is an alignment game. There are two versions of this game.
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