At some places (see the references) Martin Erickson describes a certain game:
"Two players alternately write O's (first player) and X's (second player) in
the unoccupied cells of an n x n grid. The first player (if any) to occupy four
cells at the vertices of a square with horizontal and vertical sides is the
winner."
Then he asks "What is the outcome of the game given optimal play?" or
"What is the smallest n such that the first player has a winning strategy?"
For n lower than 3 a win is obviously impossible.