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This assumes that the cake is uniform, and most cakes aren't.

If the cutter prefers frosting and knows that the other person doesn't, the cutter can arrange to get a larger share than she'd get if roles were reversed.

I think that the problem can be fixed by giving all participants knives so they're all cutters.




I'm assuming this algorithm isn't: "Give each party a knife. Survivor gets the cake."


That works too.

However, I was trying to say "everyone does the moving knife thing and anyone can call the cut on anyone's knife".




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