>>10299182Finite & Infinite Games:
There are at least two kinds of games.
One could be called finite, the other infinite.
A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.
Infinite players cannot say when their game began, nor do they care. They do not care for the reason that their game is not bounded by time. Indeed, the only purpose of the game is to prevent it from coming to an end, to keep everyone in play.