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Yes, but there's some equivocation there. The meaning of 'dictator' isn't quite what you might think it is.
by soVeryTired 10y ago
Yes, but there's some equivocation there. The meaning of 'dictator' isn't quite what you might think it is.
- thaumasiotes 10y agoThe meaning of "dictator", as used in Arrow's theorem, is that the outcome of an election is exactly what the dictator says it should be. More technically, the election outcome considers only the dictator's vote, and is independent of the votes of everyone who is not the dictator. I don't see how that differs at all from the colloquial understanding. It's a perfect reflection of the principle of One Man, One Vote, as described for Ankh-Morpork ("The Patrician was the Man; he had the Vote").
- soVeryTired 10y agoBu then why does the theorem only hold with more than two candidates?