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Assuming that getting people to "bid" on movies would be good for coming up with a total quality metric for movies, that's not what Netflix wants.
Some people like Waterworld. Some people don't like On Golden Pond. The point is to recommend movies to people based on what other movies they have liked or not liked.
If Netflix only allowed people who rented a movie to recommend it, that would solve the problem. The only cost is that Netflix would have to base its recommendations on fewer votes (I wouldn't be able to recommend Citizen Kane since I haven't rented it from them).
Your proposed solution suffers from the same problem as your criticism of surveys of attitudes on America you mention in the linked article - the "revealed preference" is simply not measuring what you believe it is.
The fact that people outside the US have negative attitudes about US foreign policy or have problems with US popular culture in no way conflicts with peoples' desire to live here. A preference to live somewhere is not contradictory to a negative opinion of how that country behaves internationally.
In much the same way the question of what movies one would recommend is different than the question of what movies one would wish to own. For instance, I would highly recommend Schindler's List but I have no desire to own it simply because I do not see myself repeatedly watching it. Since Netflix is in the business of movie rentals (typically one viewing) not movie sales (for multiple viewings) I don't see you proposal as much use to them.
I think this all points to a much larger problem. Many of these decisions are more complicated than revealed preference would suggest. In the end, statistical methods which can't include why one has a preference for certain movies (or countries) are of very little value in looking at these more complex behaviors.
Re: Happiness research - would it work, in a national survey for example, if you offered a prize (or let people bet) on the average level of national happiness?
So - if you guessed closely enough the answer of the survey, you would get a prize (or you could bet on the answer, and the odds could evolve, maybe).
I haven't really thought this through - but might it work?
I've always thought Netflix could use more graduations in its rating system. They should move to 10 or even 20 stars in order to let people really make distinctions between films they believe are very good and those they believe are true works of art.