Florian Legyel asked me (Sat.Jan1):
What is the sensible and fair argument linking the minimization ofCB: I could perhaps have omitted the word "Bayesian", because that just refers to "averaged over a vast number of
Bayesian regret by range voting with the emotional states of voters?
randomized elections".
Ok, suppose there are two candidates and three voters, and the voting method is Range Voting
using the scale 0-100. All three voters are completely sincere.
Voters 1 and 2 both prefer candidate A to candidate B, but not by much and they are not very impressed by either. They
vote A27, B25. Voter 3, on the other hand, is infatuated with B and thinks that A is by comparison terrible, so votes
A2, B98. This is how W.D Smith measures "regret" in his simulations.
Range Voting would just add up the points and elect B, minimizing "regret". Voter 3 over-ruled the other two voters, by
being more emotional. "Regret" is an emotion, isn't it? Voter 3's greater self-quantified potential "regretfulness" (96 points
of it) over-ruled the other two voters' total of 4 points of potential regret.
That is why I say that the assertion by Range Voter advocates that "minimizing...regret" is more important than majority
rule is tantamount to saying that more emotional voters should have more power than less emotional voters.
Chris Benham
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