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In game theory, a player's strategy, in a game or a business situation, is a complete plan of action for whatever situation might arise; this fully determines the player's behaviour. A player's strategy will determine the action the player will take at any stage of the game, for every possible history of play up to that stage. A strategy profile is a set of strategies for each player which fully specifies all actions in a game. A strategy profile must include one and only one strategy for every player. The strategy concept is sometimes (wrongly) confused with that of a move. A move is an action taken by a player at some point during the play of a game (e.g., in chess, moving white's Bishop a2 to b3). A strategy on the other hand is a complete algorithm for playing the game, implicitly listing all moves and counter-moves for every possible situation throughout the game. The number of "moves" in a Tic Tac Toe game is 4 or 5, depending on whether you start or not, and considering that neither player can skip a turn; while the actual number of "strategies" is over 6 trillion. A pure strategy provides a complete definition in which way a player may play a game. In particular, it defines every possible choice a player might have to make, which option the player picks. A player's strategy space is the set of pure strategies available to that player.
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Strategy (game Theory) Subcategories
Strategy (game Theory) Articles
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