Re: [EM] Delegate cascade and proportional representation

2008-08-25 Thread Raph Frank
On 8/25/08, Michael Allan <[EMAIL PROTECTED]> wrote: > I like that rule better, because it factors out the loop - the one > thing shared by all of its members. I guess it's still not fair, > because it assumes that the loop is meaningless (that assent is not > really uniform within it), or that

Re: [EM] Delegate cascade and proportional representation

2008-08-24 Thread Michael Allan
Raph Frank wrote: > Michael Allan <[EMAIL PROTECTED]> wrote: > > Except that all candidates are formally equal. Their inputs (votes > > received) all flood out to the same level (pool), giving them equal > > measures of assent from the voters. Without additional information, > > there is no fair

Re: [EM] Delegate cascade and proportional representation

2008-08-24 Thread Raph Frank
On Sat, Aug 23, 2008 at 5:45 PM, Michael Allan <[EMAIL PROTECTED]> wrote: > Raph Frank wrote: >> 1) Find the candidate with the highest score that is part of a loop. > > Except that all candidates are formally equal. Their inputs (votes > received) all flood out to the same level (pool), giving th

Re: [EM] Delegate cascade and proportional representation

2008-08-23 Thread Michael Allan
Raph Frank wrote: > On 8/22/08, Michael Allan <[EMAIL PROTECTED]> wrote: > > ... But cycles can occur only at the bottom of each casacade, > > where they result in pools. Pools are equivalent to roots, so > > d'Hondt (etc.) should still work. > > Maybe a rule like > > 1) Find the candidate with

Re: [EM] Delegate cascade and proportional representation

2008-08-22 Thread Raph Frank
On 8/22/08, Michael Allan <[EMAIL PROTECTED]> wrote: > The general structure of a delegate cascade is actually a cyclic > graph. But cycles can occur only at the bottom of each casacade, > where they result in pools. Pools are equivalent to roots, so d'Hondt > (etc.) should still work. Maybe

Re: [EM] Delegate cascade and proportional representation

2008-08-22 Thread Michael Allan
Raph Frank wrote: > The problem I would have with your idea is that it > encourages long voter chains (at least near the top). Yes, I see what you mean. My algorithm can only be an approximation because it breaks down for extreme trees. Your's is better: > 1) Use d'Hondt to split seats between

Re: [EM] Delegate cascade and proportional representation

2008-08-22 Thread Kristofer Munsterhjelm
Raph Frank wrote: No that isn't what I was suggesting (unless there is a miscommunication) It was 1) Use d'Hondt to split seats between all root candidates Sainte-Laguë would be better, I think. Or Warren's "dynamic divisor" scheme, although the problem of how to generalize it to party-neutral

Re: [EM] Delegate cascade and proportional representation

2008-08-21 Thread Raph Frank
On 8/21/08, Michael Allan <[EMAIL PROTECTED]> wrote: > Do you have a reference for DP? I just mean Adb's delegable proxy ideas. Election-Methods mailing list - see http://electorama.com/em for list info

Re: [EM] Delegate cascade and proportional representation

2008-08-21 Thread Raph Frank
On 8/21/08, Michael Allan <[EMAIL PROTECTED]> wrote: > Your notation is: > > c(W) > > c is a candidate (meaning one who receives votes) > > W is the voting weight (?) Number of votes assigned to that candidate. > > W = R + 1 > > R is the count of votes received Right, the candid

Re: [EM] Delegate cascade and proportional representation

2008-08-21 Thread Michael Allan
Raph Frank wrote: > Z(10) abstained/voted for self > A(5) voted for Z > B(3) voted for Z > C(1) voted for Z > > Y(5) abstained/voted for self > D(1) voted for Y > E(3) voted for Y > > If there were 3 seats to assign, then would go > Z gets 2 as holds 10 votes (2/3 of votes) > Y gets 1 as holds 5

Re: [EM] Delegate cascade and proportional representation

2008-08-20 Thread Juho
On Aug 19, 2008, at 20:11 , Michael Allan wrote: Juho wrote, in thread PR favoring racialminorities: ... I was also thinking about trees that offer more detailed grouping of the candidates. I just spoke with someone at Texas Tech. We were discussing how cascade voting might be used to elect

Re: [EM] Delegate cascade and proportional representation

2008-08-20 Thread Raph Frank
On 8/19/08, Michael Allan <[EMAIL PROTECTED]> wrote: > Juho wrote, in thread PR favoring racialminorities: > > > > ... I was also thinking about trees that offer more detailed > > grouping of the candidates. > > I just spoke with someone at Texas Tech. We were discussing how > cascade voting

[EM] Delegate cascade and proportional representation

2008-08-19 Thread Michael Allan
Juho wrote, in thread PR favoring racialminorities: > > ... I was also thinking about trees that offer more detailed > grouping of the candidates. I just spoke with someone at Texas Tech. We were discussing how cascade voting might be used to elect a proportional assembly. Basically, you just tak