> Date: Thu, 23 Oct 2003 14:06:41 -0700 (PDT) > From: Forest Simmons <[EMAIL PROTECTED]> > Subject: Re: [EM] Using Borda to Set an Agenda
> At the each stage, the weight of a ballot B is 1/(1+k) where k is the > number of items "approved" by ballot B that already have a place on the > agenda. > > Since we start with no item on the agenda, the number k is zero for all > ballots at the initial stage, which makes the ordinary approval winner > the first item on the agenda. Or, if you want to deal with whole numbers, after each stage, weight each ballot by multiplying it with (S - A), where S is the stage number and A is the number of items already "approved" by that ballot. At the start, there are no items on the agenda. At this point, the number S is 1 for all ballots and A is zero for all ballots. I hope I got the above right. I should've thought of this earlier. Doing sequential PAV this way, I would be very tempted to not bother with a calculator at all as we are dealing with whole numbers, not fractions. It is possible to do it the fractional way without calculator. But I wouldn't want to! I'll probably take a look at and think about non-sequential PAV next week or whenever. Thanks, Gervase. ---- Election-methods mailing list - see http://electorama.com/em for list info
