On Tue, 2005-09-13 at 22:51 -0600, Adam Tarr wrote: > [EMAIL PROTECTED] > There was an FBC failure example posted recently. It arises from a > cycle with a lot of sincere indifference. It goes like this: > > 31% C>A>B > 9% B>C>A > 28% B=C>A > 32% A>B>C
> 68% C > 32% A > 63% A > 37% B > 41% B > 31% C > > Consider the 32% A>B>C faction. It takes 12% (38% of the faction) of > them to win the election for B by "strong" favorite betrayal (B>A>C), > making B the Condorcet winner. They can win the election for B by > "weak" favorite betrayal (A=B>C) if 22% (69% of the faction) vote that > way, but they have incentive for reversal unless they know for sure > that that many will act in a similar fashion. I suspect this would be a rare occurrence. It's a plausible scenario using a two-dimensional model of the electorate. However, one hopes that a candidate D would emerge that's a reasonable compromise between the clearly very polarizing A, B, and C candidates. Note that at least a few of the 31 C>A>B voters would be as motivated to bury C to keep B out of office. It would be an interesting game of chicken that the 31 C>A>B voters would play with the 32 A>B>C voters. I strongly suspect the vast majority of attempts to vote strategically would end in regret for the voters that try it in so many situations, that conventional wisdom would eventually be to vote sincerely. Incidentally, this particular scenario presents some nasty strategy problems for Range and Approval as well. This is a relatively close three-way race, so making the decision to approve your second choice is quite a conundrum. This is why I'm coming to really dislike Approval as a method. It only works well with a unidimensional modeling of the electorate. > In my opinion, a method where favorite betrayal scenarios are > restricted to a very narrow range of situations are not a major > problem. I tend to agree. It seems like diminishingly small number of scenarios where favorite betrayal actually pays. It's really easy to construct many, many scenarios where sincerity pays (including only minor tweaks to the disaster scenarios). > If the polls start to look something like this, voters will know well > in advance. In the vast majority of situations, there is no incentive > to bury your favorite. I'm not sure I'd entirely trust the polls to accurately forecast such an insidious cycle well enough to change my vote based on it. > Forest has argued recently (with regards to DMC, but the argument > still applies here) that voters will be very reluctant to vote full > favorite betrayal unless they know for certain that it is necessary. I'm inclined to agree with Forest on this point. > This runs contrary to what Mike suggest, which is that voters will > reverse order unless they are absolutely sure it is *not* necessary. That might be the tendency for newbies backing candidates so far on the fringe that they know they are going to lose. I can't imagine those with long-term experience with the system would continue to vote that way. > Ultimately it is very hard for any of us to predict what effect wv > Condorcet voting would have on the political climate and people's > attitudes toward voting. Agreed...we're all extrapolating on what we'd do personally. So far, I haven't seen a scenario that convinces me I'd make favorite betrayal a routine in my voting patterns. Of course, I've been known to "throw away" my vote in the past, so what do I know. Rob ---- Election-methods mailing list - see http://electorama.com/em for list info
