  Using mostly elementary considerations, we find out who wins the game of
Domineering on all rectangular boards of width 2, 3, 5, and 7. We obtain bounds
on other boards as well, and prove the existence of polynomial-time strategies
for playing on all boards of width 2, 3, 4, 5, 7, 9, and 11. We also comment
briefly on toroidal and cylindrical boards.
