TOT 208 1989 Spring J2 game strategy with a pawn on chessboard
Source:
March 7, 2021
combinatoricsgame strategygameChessboard
Problem Statement
On a square of a chessboard there is a pawn . Two players take turns to move it to another square, subject to the rule that , at each move the distance moved is strictly greater than that of the previous move. A player loses when unable to make a move on his turn. Who wins if the players always choose the best strategy? (The pawn is always placed in the centre of its square. )( F . L . Nazarov)