This is what started my diatribe against idiots. Warren Smith wrote: "--let me refute some errors/myths here. In a 3-candidate election, there are 6=3! possible rank-order votes. However, there are 8=2^3 possible approval-style votes. Since 8>6, we see the approval voting ballots provided more, not less, info, than the preferential ballot.
Now, Warren is correct that there are more choices for the approval voter than the ranked-ballot voter, but "Since 8>6, we see the approval voting ballots provided more, not less, info, than the preferential ballot." is completely wrong. The approval ballots provide AT MOST 3 bits of information per ballot. This is LESS (not more) than what is provided by preferential ballot (which includes two bits of information for each alternative in the 3-alternative case.) Warren calls me an idiot, but I've never said anything as dumb as his claim that approval ballots provide as much information as ranked ballots or range ballots. It cannot be done. Warren's asserion is laughable. But Warren calls ME an idiot. OK, I've said this before and I'll say it again. EM is worthless and there's no benefit to subscribing. ---- Election-Methods mailing list - see http://electorama.com/em for list info
