Hmph...
These kind of arguments become totally confusing to the casual reader. It would be very useful if the protagonists each post a concise argument for their position.
To quote myself...

And to add that I should have continued with something like "because a summary of the major points often clarifies the true issues at hand and simplifies the argument(s)".
Let me take a stab at summarizing the variants for "game end".
Endless
a) well... just that, no game end.
b) see "Soft" Victory Conditions, below.
Victory Conditions
a) game end when some entity (player or ai) achieves the pre-defined conditions.
b) ditto, but the game can still be played.
c) players (ai as well?) choose a "personal" VC. That is, the VC can be variable within the constraints the developers set. But the prior two items are relevant as a result of achieving VC.
d) see "Soft" Victory Conditions, below.
"Soft" Victory Conditions
In an Endless or VC game players might establish "one time" VC for a game. This could be the individual deciding to end an SP game when X occurs, or an MP game where the "VC" is established upfront or even in-game at some point. An aside, the classic board game, Diplomacy (which is botched every few years in computer ports including by Paradox), it is very common in casual games to define the VC at a mutually agreed "game end" (it's a MP game) .
Complications
a) ai programming trying to achieve the VC. Philosophically, I have no problems with an ai that is coded to achieve VC. After all, if VC is defined, then surely the ai should try to achieve victory.
b) however, ai programming is hard enough, and generally not very effective the more variable, and complex, and especially the longer the simulation runs. I could go on quite a bit here, referring to concepts like "state-full" and "state-less" (which, btw, is part of the inspiration of my nick

), but simply, the ai has enough problems dealing with short-term things to "worry" about long-term things (or, better, super long-term things). It seems I'm biasing my otherwise neutral approach with this point...
Cheers,
State