Copyright (c) 1972 Colin Vout
This game is played on an empty NxN square board (say 8x8):
White moves to cell , Black is forced to move f7-f8. If White moves f6-f7 he looses (because Black is stalemated).
But, if White moves h8 off board, then Black moves g8-h8, g7-g8, h8 off-board, g8 off-board, f8-g8, g6-g7 and White because Black has run out of options (f6 and g7 forbid the White stone to move down).
Herein is a CGI webpage that plays the game. Dodgem is described in volume 2 of Winning Ways for Your mathematical plays, where the 3x3 version is completely analyzed (1st player wins). For 4x4 and 5x5 boards, the game is a draw. Also, ZIllions package includes dodgem. There is another variant called Dodge This!.