At best, what you're saying is that other competitors have wasted their time, but I don't think that's true either.
For the third time: I am talking about the abstract case, not 'here', and I am talking about the point of view of the competitors, not the entity running the contest.
> At best, what you're saying is that other competitors have wasted their time, but I don't think that's true either.
They haven't won anything, and unless there are externalities, they have wasted their time. How can they not have? They received nothing.
So, what I said is true: the contest is a "zero" or "fixed" sum game, and the other competitors gain only through externalities. You can downmod that all you like, but this more or less concurs with the definition of "zero sum game" in wikipedia.
If you exclude externalities like all parties in a transaction being happier with the outcome or placing present value on some possible future outcome, then there is no net positive sum game.