Bart: Where are these Borda rules? I know they are not in the article by Jean Charles de Borda, which I referred to in my previous message. I also know that Donald Saari, probably the worlds leading exponent of the BC, says otherwise. According to Saari it is essential to treat a bullet vote as an indication of a weak preference for one candidate and indifference between all of the unmarked candidates. He recommends giving 1 point to the preferred candidate, and 0 points to all the rest, in such a case. The essential thing is to always give the same difference to each successive ranking. In _Chaotic Elections_, Saari suggests that if voters are permitted to give (2,0,0) points to the 3 candidates by bullet voting, they will have:
"an incentive to vote for only one candidate to give the candidate a boost. A simple way to minimize this strategic action is to interpret the BC as giving a point differential to each candidate. Thus a truncated ballot assigns only one point to the candidate." --Donald Saari, _Chaotic Elections_, pg 151. This interpretation preserves the nature of the BC as a method based on pairwise compairisons. Here is excerpt (from an online article) about the way in which the BC can be interpreted as based on pairwise comparisons: An important relationship (probably due to Borda and known by Nanson [17]) between the pairwise and the BC tallies can be described by computing how a voter with preferences A > B > C votes in pairwise elections. Thus the sum of points this voter provides a candidate over all pairwise elections equals what he assigns her in a BC election. This means (along with neutrality 2 and the fact that each pair is tallied with the same voting vector) that a candidate's BC election tally is the sum of her pairwise tallies. (See Saari, _Basic Geometry of Voting, Springer-Verlag, 1995 "EXPLAINING ALL THREE-ALTERNATIVE VOTING OUTCOMES," DONALD G. SAARI http://www.math.nwu.edu/~d_saari/vote/triple.pdf > Date: Tue, 01 Jan 2002 15:17:21 -0800 > From: Bart Ingles <[EMAIL PROTECTED]> > To: [EMAIL PROTECTED] > Subject: Re: [EM] Interesting use of Borda count > > I wonder if Bennett's ballot was counted per Borda rules -- i.e. > Bennetts's first choice receiving 10 points, the remaining nine > receiving 5 points each. > > If this were a public election held in Florida, Bennett's candidate > would have contested the election, claiming that either the election > method or the voter instructions were at fault, causing Bennett to cast > non-optimal ballot. The result being, of course, that Bennett was > robbed of her voting rights by being allowed to vote incorrectly. > > > Anthony Simmons wrote: > > > > Interesting use of Borda count. Note that one voter insisted . . . ===== "Democracy"?: http://www1.umn.edu/irp/images/postcardAd2.jpg AR-NewsWI, a news service for Wisconsin animal advocates: http://groups.yahoo.com/group/AR-NewsWI/ __________________________________________________ Do You Yahoo!? Send your FREE holiday greetings online! http://greetings.yahoo.com
