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A dead position is defined as a position where neither player can checkmate their opponent's king by any sequence of legal moves. [34] According to the rules of chess the game is immediately terminated the moment a dead position appears on the board. Some basic endings are always dead positions; for example: king against king;
Claude Shannon. The Shannon number, named after the American mathematician Claude Shannon, is a conservative lower bound of the game-tree complexity of chess of 10 120, based on an average of about 10 3 possibilities for a pair of moves consisting of a move for White followed by a move for Black, and a typical game lasting about 40 such pairs of moves.
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.
Turochamp simulates a game of chess against the player by accepting the player's moves as input and outputting its move in response. The program's algorithm uses a heuristic to determine the best move to make, calculating all potential moves that it can make, then all of the potential player responses that could be made in turn, as well as further "considerable" moves, such as captures of ...
Handicaps (or "odds") in chess are handicapping variants which enable a weaker player to have a chance of winning against a stronger one. There are a variety of such handicaps, such as material odds (the stronger player surrenders a certain piece or pieces), extra moves (the weaker player has an agreed number of moves at the beginning of the game), extra time on the chess clock, and special ...
A chess rating system is a system used in chess to estimate the strength of a player, based on their performance versus other players. They are used by organizations such as FIDE, the US Chess Federation (USCF or US Chess), International Correspondence Chess Federation, and the English Chess Federation.
In chess, a combination is a sequence of moves, often initiated by a sacrifice, which leaves the opponent few options and results in tangible gain. At most points in a chess game, each player has several reasonable options from which to choose, which makes it difficult to plan ahead except in strategic terms. Combinations, in contrast to the ...
The relevant part of the FIDE laws of chess is quoted below: [4]. 9.3 The game is drawn, upon a correct claim by a player having the move, if: 9.3.1 he writes his move, which cannot be changed, on his scoresheet and declares to the arbiter his intention to make this move which will result in the last 50 moves by each player having been made without the movement of any pawn and without any ...