  Infinite draughts, or checkers, is played just like the finite game, but on
an infinite checkerboard extending without bound in all four directions. We
prove that every countable ordinal arises as the game value of a position in
infinite draughts. Thus, there are positions from which Red has a winning
strategy enabling her to win always in finitely many moves, but the length of
play can be completely controlled by Black in a manner as though counting down
from a given countable ordinal.
