Strategy (game theory)

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.

Related Topics:
Game theory - Game - Business

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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.

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The mathematically precise description of behaviour is connected to computer programming and algorithms.

Related Topics:
Mathematically - Computer program - Algorithm

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The concept strategy is sometimes (wrongly) confused with that of a move. A move is an action taken by a player during some moment in the 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 is between 9 to 1, while the number of strategies is over 6 trillion.

Related Topics:
Algorithm - Tic Tac Toe

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