You are over looking the fact that X is the approval cutoff on all of the ballots, including the ones on which X is not approved.
----- Original Message ----- From: Jameson Quinn Date: Monday, May 24, 2010 11:27 am Subject: Re: [EM] minimizing reluctance by DSV To: [email protected] Cc: [email protected] > 2010/5/24 > > > > > Hi Forest, > > > > --- En date de : Sam 22.5.10, fsimmons at pcc.edu > pcc.edu> a > > écrit : > > > The alternative X is used as the approval cutoff. On > > > some of the ballots the > > > cutoff is considered excluded (not including X as approved) > > > but on just enough > > > ballots to make X the approval winner, the cutoff is > > > considered inclusive (so on > > > these ballots X is approved). > > > > > > The "reluctance" of ballot B in approving X is the > > > difference between the > > > maxrange value and the rating given to alternative X by > > > ballot B. > > > > > > Elect the alternative X with the least possible reluctance > > > total. > > > > I don't understand how you determine which ballots approve X. > Is it > > random, or irrelevant? Or do you have to find the selection > which will > > minimize reluctance to electing X? > > > > Kevin > > > > Forest replies: > > > > Yes, the selection that minimizes reluctance. That’s why I > put the word > > “possible” in the > > phrase, “minimum possible reluctance.” > > > > Start by approving X on all of the ballots with zero > reluctance for X, then > > move on to the ballots that have > > a reluctance of one, etc. until there is enough approval for X > to overcome > > the approval for the candidates > > that are preferred over X . > > > > > Um, wouldn't that just be plurality? That is, you'd start with zero > reluctance, and the plurality leader would win. That would > automaticallybeat any win with nonzero reluctance. > > I think you mean, then, to "Elect the alternative X with the > least possible > reluctance total for a majority win". That system is some kind > of hybrid > between Abd's Range/Bucklin proposal and a Condorcet method. I > like it - but > it is basically a non-starter until you have an explicit > algorithm for > finding the correct winner. > > JQ >
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