BelKor has allegedly won Netflix Prize despite being second on the leaderboard
netflixprize.com
netflixprize.com
Just like in ping-pong, extend the game if it is that close until there is a clear winner.
With a winner takes all contest like this there has to be a clear winner.
This turnaround does not surprise me. BellKor's Pragmatic Chaos took their sweet time getting to 10%+ - and in doing so they were very sure not to overfit [2] the data (making their solution a much more generic and viable solution to the dataset). It's my guess that The Ensemble rushed quickly to 10%+ and overfit their data like mad (which yielded high numbers on the public dataset, but evidently does not translate to a generic solution).
I'm looking forward to seeing the final papers published by BellKor, et. al. - they're going to be a fascinating read, regardless.
1: http://www.netflixprize.com/leaderboard 2: http://en.wikipedia.org/wiki/Overfitting
The netflix prize uses three datasets: the training set, the leaderboard set, and the test set. The training set is distributed to everyone. The test set is totally secret. Access to the leaderboard set is only by submitting results (once per 24 hours) and looking at the results. It is not at all trivial to "overfit" to this leaderboard set. (It could be done by, e.g. submitting results with slight tweaks to the algorithm parameters, but this would take a lot of time since you can only submit every 24 hours. Also, you would basically have to do it consciously.)
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.