> What is the justification for Bayesian Regret, as used in IEVS and > described at http://rangevoting.org/BayRegDum.html, being the > "uniquely right" metric, the "gold standard", for comparing different > election methods or varying election scenarios?
I think this is a good question and I don't exactly want this thread to die. but I don't know the answer. I think whoever wrote that thinks it is the gold standard, other people might Look to Arrow. > Why is the societal utility for a candidate the sum of the voters' > individual utilities for that candidate? How does that avoid the > problems of being arbitrary or not well-defined, when making > interpersonal comparisons or summations of von Neumann-Morgenstern > utilities? What is Bayesian about the resulting value, which is just > a difference in utility values? I am personally new to this measure, and I haven't read the paper they refer to (soon hopefully). but I wonder how they generated the personal Utilities for Voter V and Candidate X. you can place them both in Issue space, and measure there distances R. but then you need to relate Personal Utility with distance. Perhaps U(V, X) = R(v, x) or perhaps is better. as you might really Hate people who are really different. U(V, X) = Exp ( R(v, x) ) and then you have the Social Utility SU, they do say that * SU = Sum(U(V, X)) But I think something Like * SU = Sum( Log (U(V, X)) ) Would be defendable, as we might want to integrate the extreme points of view into our society. and try to make them happy. Anyway I think a good discussion about voter regret and how you measure it is very appropriate. > > Matthew Welland matt at kiatoa.com on Sun Mar 11 09:44:32 PDT 2007, > wrote: > (http://lists.electorama.com/pipermail/election-methods-electorama.com/2007-March/019827.html) > >> ... I know I should be using Bayesian Regret but a) don't really >> understand it and ... > > Warren Smith wds at math.temple.edu on Fri Feb 9 13:06:01 PST 2007, > wrote: > (http://lists.electorama.com/pipermail/election-methods-electorama.com/2007-February/019439.html) > >> I happen to think Bayesian regret is a good metric, in fact the >> uniquely right metric, not "the wrong thing". ---- election-methods mailing list - see http://electorama.com/em for list info
