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Diagram showing optimal strategy for tic-tac-toe.With perfect play, and from any initial move, both players can always force a draw. In combinatorial game theory, a two-player deterministic perfect information turn-based game is a first-player-win if with perfect play the first player to move can always force a win.
Tic-Tac-Toe is a game where the player places a letter (either an X or an O) on part of the board, which consists of a 3×3 grid. The aim of the game is to complete 3 squares in a row, either vertically, horizontally, or diagonally.
Tic-tac-toe A completed game of tic-tac-toe Other names Noughts and Crosses Xs and Os Genres Paper-and-pencil game Players 2 Setup time Minimal Playing time ~1 minute Chance None Skills Strategy, tactics, observation 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 ...
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Bertie the Brain was a video game version of tic-tac-toe, built by Dr. Josef Kates for the 1950 Canadian National Exhibition. [1] Kates had previously worked at Rogers Majestic designing and building radar tubes during World War II, then after the war pursued graduate studies in the computing center at the University of Toronto while continuing to work at Rogers Majestic. [2]
The first two plies of the game tree for tic-tac-toe. The diagram shows the first two levels, or plies, in the game tree for tic-tac-toe. The rotations and reflections of positions are equivalent, so the first player has three choices of move: in the center, at the edge, or in the corner.
Alpha–beta pruning is a search algorithm that seeks to decrease the number of nodes that are evaluated by the minimax algorithm in its search tree.It is an adversarial search algorithm used commonly for machine playing of two-player combinatorial games (Tic-tac-toe, Chess, Connect 4, etc.).
The child node that ultimately sets the root node's best score also represents the best move to play. Although the negamax function shown only returns the node's best score, practical negamax implementations will retain and return both best move and best score for the root node. Only the node's best score is essential with non-root nodes.