Dear Rob! It is possible (otherwise I would not have posted this challenge :-)
But of course it is not possible with a majoritarian method (that's what you observed). Keep on, one of the possible solutions is really simple (though not very good in other respects)... > -----Ursprüngliche Nachricht----- > Von: "rob brown" <[EMAIL PROTECTED]> > Gesendet: 22.08.07 21:43:36 > An: > CC: [email protected] > Betreff: Re: [Election-Methods] Challenge: Elect the compromise when there're > only 2 factions (temporarily exiting lurk mode since this one grabbed my attention) > > I don't think it's possible, assuming the voters know what other voters' > preferences are, and that they know that the other voters have the same > information and will also vote optimally. > > > The 55% in the first group will know that candidate B will never win, period. > So they have no incentive to compromise. Since they don't have to worry > about B, their only motivation is to make sure A, not C, wins, and any > deterministic system will allow them to do just that. > > > Howard's suggestion, that you prevent them from knowing other's preferences, > is the only way it could select C. But that is unrealistic and inherently > unstable in the real world. > > -rob > > > On 8/21/07, Jobst Heitzig <[EMAIL PROTECTED]> wrote: > A common situation: 2 factions & 1 good compromise. > > The goal: Make sure the compromise wins. > > The problem: One of the 2 factions has a majority. > > A concrete example: true ratings are > 55 voters: A 100, C 80, B 0 > > 45 voters: B 100, C 80, A 0 > > THE CHALLENGE: FIND A METHOD THAT WILL ELECT THE COMPROMISE (C)! > > The fine-print: voters are selfish and will vote strategically... > > Good luck & have fun :-) > > Jobst > > > ----------------------------------------------------------------- > ---- > Election-Methods mailing list - see http://electorama.com/em for list info > _______________________________________________________________________ Jetzt neu! Schützen Sie Ihren PC mit McAfee und WEB.DE. 3 Monate kostenlos testen. http://www.pc-sicherheit.web.de/startseite/?mc=022220 ---- Election-Methods mailing list - see http://electorama.com/em for list info
