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How Game Theory Solved a Religious Mystery

mindyourdecisions.com

104 points by ilike 16 years ago · 10 comments

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leelin 16 years ago

A neat twist to the standard pro-rata division we see a lot in bankruptcies.

What I like best is this method penalizes the creditor for extending too much credit. Note that the ones who are hurt most by the divide-contested-amount method are the creditors who over-estimated the debtors assets, while the creditors lending smaller amounts get a small bonus over pro-rata.

Edit: I think the (estate_size == 150) case sucks for the 200 and 300 creditors, though, because they correctly believed the estate would be worth more than 100. It is "pairwise-consistent" as the article defines it.

  • DannoHung 16 years ago

    What about the situations where the 300 or 200 lender made the loans first though?

    • tlholaday 16 years ago

      A lending contract can specify that all subsequent loans be subordinate, so the lender who lent first had the option of making such a specification.

RiderOfGiraffes 16 years ago

Here's the discussion from the last time this was submitted:

http://news.ycombinator.com/item?id=461076

alfredp 16 years ago

Poker players would instantly recognize the similarity of the money splitting problem to negotiating a deal at the final table of a poker tournament (say final 2, 3, 4). It isn't always about dividing the payouts proportional to size of your stack and there are human factors involved.

ihodes 16 years ago

Great article, but I couldn't help thinking the whole time that while game theory certainly and apparently can be used to describe the split of the estate, so could simple pattern-finding: the contested sum(s) is(/are) split evenly, and the uncontested amount (if any) is given to the one owed the most money.

But perhaps game theory makes the pattern more evident, Regardless, it was a good read.

dejb 16 years ago

This is a pretty lame 'religious mystery' in my view. There doesn't seem to be any real wisdom in the method of splitting the debt and the explanation seems fairly straight forward. It isn't even new. Why people find this interesting is beyond me. What's next 'A numerical analyses of the Book of Revelations and Daniel'?

  • sethg 16 years ago

    Even though the Talmud is a religious document, the discussions in it cover a wide range of topics, including theology, ritual law, civil law (which, for observant Jews, is religious), medicine, demonology, funny stories about what happened when Rabbi So-and-So got drunk, etc., etc. It’s like fifth-century Usenet.

  • kilian 16 years ago

    Honestly, I would enjoy this. Game theory, and motivations behind a relatively unintuitive split such as this are only understood fairly recently. That the writer(s) of the Talmud (15+ centuries old) already knew this is very interesting.

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