2. A two-player game (in which the players take turns making moves) is considered to be finite if it cannot go on forever when played by the rules. For example, tic-tac-toe is finite. So is chess, thanks to some obscure rules about about the game being an automatic draw if no one captures a piece, moves a pawn, or delivers checkmate in a certain number of moves. (50 by each player in most situations, but there are a few exceptions.) The two-player game SUPERGAME is played as follows: the first player chooses a finite two-player game, which the two players proceed to play out with the second player going first. Is SUPERGAME itself finite? Why or why not?