Xavier and Oliver were playing tic-tac-toe on the Titanic using a wooden board and metal X's and O's. As the stern of the ship sank lower and lower they found, to their annoyance, that the pieces began to slide from left to right. After some thought they decided to turn the situation to their advantage. They took turns holding the board level and added the following rules.
At the start of any player's turn he may allow the board to tilt causing all of the pieces to slide one square to the right. Any pieces leaving the 3x3 grid are removed. The player may then play a normal tic-tac-toe move.
A player may not play two successive moves on the same square.
A player may not allow the board to tilt if doing so will cause one or more of his opponent's pieces to be removed unless one or more of his own pieces will also be removed.
To clarify, a player may tilt the board if a) one or more of his own pieces is in the right hand column or b) if there are no pieces in the right hand column. Tilting only happens in the one direction: left to right. Tilting always takes place during a player's turn before he has placed his piece.
Assuming best play, can either player force a win?