I say again, the academic argument does not meet the real-world. My vote is not going to be influenced by these arguments, and since I'm the only voter in my district likely to read them, they are not likely to match real-world voter experience.
NOBODY's "expectation" is really a "sum over" anything. That's just a an analytical tool to try to attach a number to how we form our votes. >>> On EM, it's been shown by at least three people, in at least two ways, that the expectation-maximizing strategy of Approval is to approve the above-expectation candidates.<<< It has been shown in my district that nobody except me reads the EM list. So most vote without ever having encountered a phrase such as " the expectation-maximizing strategy." Americans in general aren't interested in any message that requires more than an eighth-grade education. No offense, but until the part of the EM community that is advocating something dis-entangles their advocacy from the study of EMs in general, advocates for one EM or another are, as we say in the American South, pissing into the wind. -----Original Message----- From: [email protected] [mailto:[email protected]] On Behalf Of Michael Ossipoff Sent: Thursday, May 31, 2012 9:39 PM To: [email protected] Subject: [EM] Another reason why Greens won't vote Dem, due to previous count results. As I was saying in a recent previous post about this, Approval's count results will tell Green-preferrers whether or not they need Dem to protect against Repub. And I gave a reason why that is: Preferrers of the middle of 3 parties have no reason to approve either extreme. I told of a reason why that is. Now I'd like to tell of another: On EM, it's been shown by at least three people, in at least two ways, that the expectation-maximizing strategy of Approval is to approve the above-expectation candidates. It's obvious why that's so: Your expectation is the sum, over all of the candidates, of the product of a candidate's win-probability and hir utility. It's obvious that when you increase the win-probability of a candidate who is better than your expectation (you do that when you approve hir), that will raise your expectation. Well, suppose you're a Democrat-preferrer (if there really are any). Say it's Green, Dem, Repub. If it's certain that some particular candidate will win, then your expectation is the utility of that candidate. Otherwise your expectation is somewhere between the utility of the Green and the Dem, or somewhere between the utility of the Repub and the Dem. Say it's somewhere between the Green and the Dem. As I said above, your best expectation-maximizing strategy is to approve (only) all of the above-expectation candidates. By assumption, the Green is farther from you than is the point representing the utility equal to your expectation. So you don't approve the Green. What would it take to make your expectation worse than the Green? No, even if it were almost certain that the Repub would win, that wouldn't do it, because Dem and Repub are so close that you couldn't squeeze an amoeba between them. The expected utility for you would have to be a candidate farther away from you than the Green and the Repub. And that would be impossible with just 3 candidates. So then, what if there were more candidates? Maybe there's a candidate who, as seen by you (a Dem-preferrer) is beyond the Green, in the same direction. Maybe the it looks as if someone that far away from you, in that direction, will win. Well, if that's so, then we can forget all about the Repub as a threat, can't we. In that case, the Green preferrers certainly have no reason to approve Dem. So, if there are any Democrat-preferrers, they aren't going to vote for the Green, except under conditions that would make the Rep is so unwinnable that the Dems aren't needed as a compromise. And with the Dems not approving in either direction, the count totals of Greens and Repubs will be a good estimate of their preferrers' numbers. And when the Green shows as bigger than the Repub (as s/he immediately will) it will be obvious that Green can beat Repub, and that Green preferrers don't need to approve Dem. As I was saying, in fact, I suggest that, in the 1st Approval election, the Repubs count-total will be so low the suggestion of Dem as a necessary compromise would be quite out of the question. Aside from all this, remember that, when non-Republocrats are seen as viable, there will be statisticians and (honest) poll-takers who are very interested in finding out about the relative numbers of preferrers of the various parties. Mike Ossipoff ---- Election-Methods mailing list - see http://electorama.com/em for list info ---- Election-Methods mailing list - see http://electorama.com/em for list info
