checker chase game

[BMAD]

Player A begins by placing a checker in the lower left-hand corner of a checkerboard (8 by 8 squares). Player B places a checker one square to the right or one square up or one square diagonally up and to the right of Player A's checker. Then A places a checker one square to the right or one square up or one square diagonally up and to the right of Player B. The players continue alternating moves in this way. The winner is the player who places a checker in the upper right corner. Would you rather be Player A or Player B?

[harey]

... B.

If we play the diagonal, I win. The losing places are A1, C3, D5, E7.

If A plays right (up), I play right (up), too. Sooner or later these moves will be compensated by my opponents up (right) and mine up (right).

[Rob_G]

Player B. As long as player B's first move is on the diagonal B can win. From then on do the opposite of what A does. If A moves on the diagonal move up or right, if A moves up or right then move on the diagonal.