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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.
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory and/or computer assistance.
In his 1950 paper "Programming a Computer for Playing Chess", information theorist Claude Shannon argued that in principle the game of chess ought to be solvable. In practical terms, however, he argued that it is not feasible for any computer to actually do this.
Chess world champion Bobby Fischer was an expert at solving the 15 puzzle. ... This puzzle is not solvable as it would require a change of the invariant to move it to ...
The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. There are 92 solutions.
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!
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.
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