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The second player now faces the same situation owing to the mirror symmetry of the initial position: if the first player had no winning move in the first instance, the second player has none now. Therefore, the second player can at best draw, and the first player can at least draw, so a perfect game results in the first player winning or ...
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 or computer assistance.
Losing chess [a] is one of the most popular chess variants. [1] [2] The objective of each player is to lose all of their pieces or be stalemated, that is, a misère version. In some variations, a player may also win by checkmating or by being checkmated. Losing chess was weakly solved in 2016 by Mark Watkins as a win for White, beginning with 1.e3.
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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.
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While the player only admitted to using the chess engine in that one match, his results suggested he had been using the program for several tournaments. [83] At the 2013 Cork Congress Chess Open, a 16-year-old player was found to be using a chess program on a smartphone when his opponent confronted him in the toilets by kicking down the cubicle ...