# Tactical Domino Placement Game

Alice and Bob take turns to place regular dominoes into a $$7\times8$$ board. The first player who cannot go loses.

Is there a winning strategy for either player?

Note that in this version the pips on the domino don't count for anything - it's just about placing the dominoes into the board.

After that, whenever Bob places a domino she places hers in the position which is a $$180^o$$ rotation of the board from where Bob placed his. Given the symmetry she has set up, she will always be able to place a domino as long as he can.