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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.
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 ...
Play free chess online against the computer or challenge another player to a multiplayer board game. With rated play, chat, tutorials, and opponents of all levels!
Arimaa / ə ˈ r iː m ə / ⓘ (ə-REE-mə) is a two-player strategy board game that was designed to be playable with a standard chess set and difficult for computers while still being easy to learn and fun to play for humans. It was invented between 1997 and 2002 by Omar Syed, [1] [2] [3] an Indian-American computer engineer trained in ...
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The word "turn" can be a problem since it means different things in different traditions. For example, in standard chess terminology, one move consists of a turn by each player; therefore a ply in chess is a half-move. Thus, after 20 moves in a chess game, 40 plies have been completed—20 by white and 20 by black.
Popeye is a chess problem-solving software accommodating many fairy chess rules and able to investigate set play and tries. It can be used with several operating systems and can be connected to several existing graphical interfaces since it comes with freely available source code, cf. popeye on GitHub. Since its origin, Popeye was designed as a ...