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A variant first described by Claude Shannon provides an argument about the game-theoretic value of chess: he proposes allowing the move of “pass”. In this variant, it is provable with a strategy stealing argument that the first player has at least a draw thus: if the first player has a winning move in the initial position, let him play it, else pass.
There is a class of chess positions called Zugzwang in which the player obligated to move would prefer to "pass" if this were allowed. Because of this, the strategy-stealing argument cannot be applied to chess. [5] It is not currently known whether White or Black can force a win with optimal play, or if both players can force a draw.
Chess strategy is the aspect of chess play concerned with evaluation of chess positions and setting goals and long-term plans for future play. While evaluating a position strategically, a player must take into account such factors as the relative value of the pieces on the board, pawn structure, king safety, position of pieces, and control of key squares and groups of squares (e.g. diagonals ...
Zermelo's theorem can be applied to all finite-stage two-player games with complete information and alternating moves. The game must satisfy the following criteria: there are two players in the game; the game is of perfect information; the board game is finite; the two players can take alternate turns; and there is no chance element present.
In abstract strategy board games, candidate moves are moves which, upon initial observation of the position, seem to warrant further analysis. [1] [2] [3] Although in theory the idea of candidate moves can be applied to games such as checkers, go, and xiangqi, it is most often used in the context of chess.
A rook moves any number of vacant squares horizontally or vertically. It also is moved when castling. A bishop moves any number of vacant squares diagonally. (Thus a bishop can move to only light or dark squares, not both.) The queen moves any number of vacant squares horizontally, vertically, or diagonally.
In the game of chess, an endgame study, or just study, is a composed position—that is, one that has been made up rather than played in an actual game—presented as a sort of puzzle, in which the aim of the solver is to find the essentially unique way for one side (usually White) to win or draw, as stipulated, against any moves the other side plays.
The Indian systems are asymmetrical defenses to 1.d4 that employ hypermodern chess strategy. Fianchettos are common in many of these openings. As with the closed games, transpositions are important and many of the Indian defenses can be reached by several different move orders. Although Indian defenses were championed in the 1920s by players in ...