We all know how 1-Meta tic tac toe works-standard tic tac toe. 2-Meta tic tac toe works by placing tic tac toe grids in a tic tac toe grid. Players can go in any grid at any time, and the player who wins a grid has placed his gone in the larger grid. If the game is a tie, a fair coin is flipped to determine the winner of the square.
extending this, n-Meta tic tac toe works by putting n-1-Meta tic tac toe grids in a tic tac toe grid.
The question is, what is the optimal strategy(or what are some interesting conclusions we can make about strategy) and what conclusions can we make about the game itself.
I have no idea how to approach this.