It is not necessary for infinite Players to be Christians; indeed it is not possible for them to be Christians - seriously. Neither is it possible for them to be Buddhists, or Muslims, or atheists, or New Yorkers - seriously. All such titles can only be playful abstractions, mere performances for the sake of laughter.
Infinite players are not serious actors in any story, but the joyful poets of a story that continues to originate what the cannot finish.

James P. Carse. Finite and Infinite Games. 100.

Occurring before a world, theatrically, a finite game occurs within time. Because it has its boundaries, its beginning and end, within the absolute temporal limits established by a world, time for a finite player runs out; it is used up. It is a diminishing quantity.
A finite game does not have its own time. It exists in a world's time. An audience allows players so much time to win their titles.
For the finite player in us freedom is a function of time. We must have time to be free. 67.