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RichardKennaway comments on Timeless Decision Theory: Problems I Can't Solve - Less Wrong
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If the ten pie-sharers is to be more than a theoretical puzzle, but something with applicability to real decision problems, then certain expansions of the problem suggest themselves. For example, some of the players might conspire to forcibly exclude the others entirely. And then a subset of the conspirators do the same.
This is the plot of "For a Few Dollars More".
How do criminals arrange these matters in real life?
Dagnabbit, another movie I have to see now!
(i.e. thanks for the ref!)
The Dark Knight has an even better example - in the bank robbery scene, each subgroup excludes only one more member, until the only man left is... That's enough of a spoiler I guess.
Yeah ... guess which scene I came in during the middle of? :P