Mini Chess Resolution

Standard chess remains way too big to be solved but the game-theoretic value of smaller variants can be found. Previous results by Kyril Kryovich gave strong resolution for 3x3, 3x4 and up to 9 pieces in 4x4 by giving the Distance To Mate (dtm) of all legal positions.

In this page we study bigger variants (but smaller than regular 8x8 chess). We mainly use adapted versions of Stockfish as a basic resolution engine. In our analyses we consider only games where at least one player plays perfectly. It allows to considerably reduce the number of positions to analyze and is sufficient to caracterize the game (we do not consider games in which both players make bad moves).

5 X 5 : Gardner Chess, Mallet Chess



Gardner Minichess analysis