If the rules of a finite game are unique to that game it is evident that the rules may not change in the course of play—else a different game is being played. It is on this point that we find the most critical distinction between finite and infinite play: The rules of an infinite game must change in the course of play. The rules are changed when the players of an infinite game agree that the play is imperiled by a finite outcome—that is, by the victory of some players and the defeat of others.
