Most two person games are finite; for example, chess has rules that don't allow an infinite game, and tic-tac-toe obviously ends after at most 9 plays.

Let's define a new two person game: the "Metagame". The first player first picks any two person finite game (e.g., chess or tic-tac-toe). Then, the second player sets up the board (or whatever is needed) and makes the first move in that game, and the Metagame winner will be whoever wins that game.

The question: is Metagame finite or infinite?

there are infinite two person finite games.there must be a game that is finite that player one can choose which turns into an infinite game if player two sets up the game and makes the first move.

Posted by gary wallravin on 2005-04-17 21:43:48