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Pré-Publication, Document De Travail Année : 2013

Gardner's Minichess Variant is solved

Résumé

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.

Dates et versions

hal-00944409 , version 1 (10-02-2014)

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Mehdi Mhalla, Frederic Prost. Gardner's Minichess Variant is solved. 2013. ⟨hal-00944409⟩
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