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!
As mentioned in the comments, Player2 can guarantee a tie. An easy strategy for this is to just always move on top of Player1's last move. Due to the number of rows being even, this is always possible. Therefore only Player1 pieces can end up in the bottom row, and he'll end up with a 4 in a row before Player2 does.
Therefore Player1 cannot win. The best player1 can do is force a tie, which if possible means with perfect play player2 cannot win either.
Since the normal play of connect 4 is solved in favor of Player1, this means Player1 can always get 4 in a row no matter what Player2 plays.
Therefore, with perfect play the result of the game is a draw.
Player1 wins = normal Player2 win/player1 lose
Player2 wins = normal tie
tie = normal Player1 win/player2 lose
for this, Player2 has larger chance to get tie and win (as only he wins, player1 win will count 1), but if Player1 use strategy to force player2 win, then Player 1 wins
Player1 as slightly larger chance, since he lose, he will win, he win, it counted as tie, the only thing he need to do is not to get tie.
since they perfect play connect four, mostly they get is tie, so that Player2 will win.
