Four Weddings And A Puzzle

Interesting post about fair scoring with stakes involved. As it is, given rational players, I don’t think the show should exist at all. At least, I don’t see a rational incentive for players to rate other weddings any score other than 0. But perhaps, there’s a way to amend the voting scheme so that there is an incentive for non-zero voting.

“Four Weddings” is a reality based TV show that appears in America on the cable channel TLC. Yes a TV show: not a researcher, not someone who has recently solved a long-standing open problem. Just a TV show.

Today I want to discuss a curious math puzzle that underlines this show.

The show raises an interesting puzzle about voting schemes:

How can we have a fair mechanism when all the voters have a direct stake in the outcome?

So let’s take a look at the show, since I assume not all of you are familiar with it. I do admit to watching it regularly—it’s fun. Besides the American version there are many others including a Finnish version known as “Neljt Ht” (Four Weddings), a German version called “4 Hochzeiten und eine Traumreise” (4 Weddings and one dream journey), and a French version called “4 Mariages pour 1 Lune de Miel”…

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