[Election-Methods] Challenge: Elect the compromise when there're only 2 factions

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 COM

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

2007/8/22, Jobst Heitzig <[EMAIL PROTECTED]>: > > 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,

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

Jobst Heitzig 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 CHA

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

Jobst Heitzig 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 CHA

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

On Wed, 22 Aug 2007 09:28:24 -0300 Diego Renato wrote: > 2007/8/22, Jobst Heitzig <[EMAIL PROTECTED] >: > > A common situation: 2 factions & 1 good compromise. > > The goal: Make sure the compromise wins. > > The problem: One of the 2 factions has a majorit

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

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 02:55 AM 8/22/2007, Jobst Heitzig wrote: >A common situation: 2 factions & 1 good compromise. > >The goal: Make sure the compromise wins. Simple. I'm in charge. I dictate and sign the election result. Oh! You want a democratic election method! >The problem: One of the 2 factions has a majorit

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 11:38 AM 8/22/2007, Howard Swerdfeger wrote: > > 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)! > > > >approval, would work if voters approval cutoff is below 80,

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 11:38 AM 8/22/2007, Howard Swerdfeger wrote: > > 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)! > > > >approval, would work if voters approval cutoff is below 80,

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

Here's my first attempt. Let's use modified Borda. The points can be "balanced" e.g. by using square root. X>Y>Z => (2, 1, 0) => (1.4, 1, 0) X>Y=Z => (2, 1, 1) => (1.4, 1, 1) 55 A>C>B 45 B>C>A A = 55 * 1.4 + 45 * 0.0 = 77.8 B = 55 * 0.0 + 45 * 1.4 = 63.6 C = 55 * 1.0 + 45 * 1.0 = 100.0 Juho

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

2007/8/23, [EMAIL PROTECTED] <[EMAIL PROTECTED]>: > > 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

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

2007/8/23, [EMAIL PROTECTED] <[EMAIL PROTECTED]>: > > > I dislike any undeterministic method, except for tie-braking > > And I dislike methods that give all power to only one half of the voters > and can be used to oppress 49% of the electorate :-) > In most societies, the "majority dictatorship"

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 09:05 AM 8/23/2007, Jobst Heitzig wrote: > > (And, contrary to the assumptions, most people will *change* their > > preference if they understand that others have strong preferences > > compared to their own weak ones. We are social animals. So, again, if > > the utilities given were accurate, a

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions]

Original Message Got lost? Date: Wed, 22 Aug 2007 14:32:55 -0400 On Wed, 22 Aug 2007 09:28:24 -0300 Diego Renato wrote: > 2007/8/22, Jobst Heitzig <[EMAIL PROTECTED] >: > > A common situation: 2 factions & 1 good compromise. > > The goal: M

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

On Aug 22, 2007, at 2:55 AM, Jobst Heitzig 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 10

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 02:55 AM 8/22/2007, Jobst Heitzig 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

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 09:16 AM 8/25/2007, Jobst Heitzig wrote: >I don't think nearly half of the electorate should pay the other >half for getting what is the more just solution in my eyes. Perhaps >that is a difference in culture? No. It's an understanding of what utilities mean. If A does not win, the supporter

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 03:58 PM 8/27/2007, Jobst Heitzig wrote: >A democratic decision system should not reproduce what would happen >in an anarchic world such as you describe but should instead protect >the weaker parts of society against the majority by giving them >their just share of power instead of letting th

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

Dear Abd ul-Rahman, > The faction with the largest number of supporters could raise the > largest army (other things being equal) and could overpower the > others -- unless they cooperate, forming a larger faction. I don't think you believe what you write here. Who could raise the largest army c

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 07:25 PM 8/29/2007, Jobst Heitzig wrote: >In my opinion democracy in its basic meaning is not just a tool to >reproduce the result of a violent process without the violent process. This is presuming a "meaning" to democracy disconnected from history and the forces creating it and making it att

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

Dear Abd ul-Rahman, > I am most concerned about majority *consent.* Jobst is ignoring the > fact that I'm suggesting majority *consent* for decisions; What exactly is "majority consent"? In my understanding "consent" means *all* voters share some opinion... > what do you call it when a minori

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

Seems there's something seriously broken with copy/paste on AIM mail. From: Jobst Heitzig <[EMAIL PROTECTED]> > > Democratic decision systems avoid the necessity of fighting to prove > > strength by assuming strength from numbers and making the necessary > > accomodations. > > In my opinion

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

> From: [EMAIL PROTECTED] > [mailto:[EMAIL PROTECTED] On Behalf Of Jobst > Heitzig > Sent: Wednesday, August 22, 2007 1:55 AM > Subject: [Election-Methods] Challenge: Elect the compromise when > there'reonly 2 factions >55 voters: A 100, C 80, B 0 >45 voters: B 100, C 80, A 0 > > THE CHAL

Re: [Election-Methods] Challenge: Elect the compromise when there're only 2 factions

At 04:18 AM 8/30/2007, Jobst Heitzig wrote: >Dear Abd ul-Rahman, > >>I am most concerned about majority *consent.* Jobst is ignoring the >>fact that I'm suggesting majority *consent* for decisions; > >What exactly is "majority consent"? In my understanding "consent" >means *all* voters share some