Imagine a game of connect 4 where Player1 wins by Player2 connecting 4, and Player2 wins by forcing the board into a filled board without any 4-in-a-rows. A tie happens if Player1 connects 4.
Now Let's assume neither of them want to tie.
My question is, with perfect play by both players, will the game result in a win for Player1, Player2, or will it be a draw?
The board size is 7 columns, 6 rows!