Also, "one guy" doesn't necessarily get all of it, as team co-operation is implicitly encouraged as it increases the chances of winning. Additionally, the game is strictly skill-based, so the more skilled you are the more likely you are to win, which may encourage you to work in the contest. And that's excluding all the additional externalities involved.
I thought that zero sum just meant that the total score of all players is a constant, regardless of the strategies chosen?
Ok, so call it "fixed sum" or whatever else is technically correct - that's the point I'm trying to make. If one guy wins, another guy necessarily loses. That's not true in plenty of other things.
> the more skilled you are the more likely you are to win
Yes, but the second and third guys are quite skilled too, and win nothing (and yes, we are excluding the externalities since we're talking about the general case, not this specific one).
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.
But it's clear there are many other motivations at play: the excitement of the competition, the chance to learn based on a real-world problem and dataset, the fame available even to those who reach goals other than final victory. And many of the results can be published as papers or open-source software, as well.