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arxiv: 1307.7118 · v1 · pith:6T3E56UWnew · submitted 2013-07-26 · 💻 cs.GT

Gardner's Minichess Variant is solved

classification 💻 cs.GT
keywords boardchessgamegardnergiveminichesspiecesvariant
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A 5x5 board is the smallest board on which one can set up all kind of chess pieces as a start position. We consider Gardner's minichess variant in which all pieces are set as in a standard chessboard (from Rook to King). This game has roughly 9x10^{18} legal positions and is comparable in this respect with checkers. We weakly solve this game, that is we prove its game-theoretic value and give a strategy to draw against best play for White and Black sides. Our approach requires surprisingly small computing power. We give a human readable proof. The way the result is obtained is generic and could be generalized to bigger chess settings or to other games.

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