The first player can always win,
provided he plays
to the centre on his first move.
But a good variation of the game is to
bar the centre for the first move of the first player.
In that case the
second player should take the centre at once.
This should always end in
draw, but to ensure it the first player must play to two adjoining
corners (such as 1 and 3) on his first and second moves.
The game then
requires great care on both sides.