Earlier quoted context omitted.
Any boardgame that involves eliminating players from it is a non-starter for me.
How do you win, then?
2) Set duration (usually in rounds played).
Usually wins determined, in either case, either by "you were the first to do X so you win" or a scored resolution.
It's usually possible to be de facto eliminated in these games (anyone who's played much Catan has been there, to pick a familiar example) but the best of them keep that from happening until late in the game. Quite a few, frankly, do not do a good job of that but do make it hard to tell who's winning so at least you don't know you've effectively already lost by the halfway point of the game.
[EDIT] for an easy example many might be familiar with: look at most trick-taking card games, like Spades, Hearts, or Bridge. No elimination (unlike, say, poker), but you still get a winner or winning partnership at the end.