Re: [EM] Simulations with social welfare functions

2006-05-28 Thread Abd ul-Rahman Lomax
At 07:13 AM 5/26/2006, Jobst Heitzig wrote: >Perhaps, but I must say that I never thought about multi-winner methods >thoroughly. My impression is that for electing a multi-seat >representative body, something like Delegable Proxy would be my choice. Asset Voting, properly implemented, is quite eq

Re: [EM] Simulations with social welfare functions

2006-05-26 Thread Jobst Heitzig
Dear Forest! You wrote: > I wonder how Bucklin would fare in your simulations? I will be able to do further simulations on Monday. > Or how about > the quartile variation of Bucklin in which the "bar" is lowered > simultaneously on the range style ballots until at least one > candidate is rate

Re: [EM] Simulations with social welfare functions

2006-05-25 Thread David Cary
--- [EMAIL PROTECTED] wrote: > To answer my own question, I think the attached perl script nicely > shows > the difference between std-dev and gini by this output: The Gini Coefficient is invariant under scaling, but not under translation. Standard deviation is invariant under translation, but

Re: [EM] Simulations with social welfare functions

2006-05-25 Thread Simmons, Forest
iminate the strongly defeated candidates, and then use random ballot to eliminate all but N of the remaining candidates. Something like that. Keep us going on this! Forest From: Jobst Heitzig <[EMAIL PROTECTED]> Subject: [EM] Simulations with social welfare functions To: election-methods

Re: [EM] Simulations with social welfare functions

2006-05-25 Thread Jobst Heitzig
Dear Brian! > data: 1, 1, 1, 999 > std: 499 > gini: 0.747005988023952 >From this you see that the Gini coefficient is something between 0 and 1, measuring the degree of inequality irrespective of the total. By the way, the description on Wikipedia is much more complicated than necessary, since i

Re: [EM] Simulations with social welfare functions

2006-05-24 Thread bql
To answer my own question, I think the attached perl script nicely shows the difference between std-dev and gini by this output: data: 1, 2, 3, 4 std: 1.29099444873581 gini: 0.25 data: 1, 1, 1, 9 std: 4 gini: 0.5 data: 1, 1, 1, 999 std: 499 gini: 0.747005988023952 data: 1, 1, 1, 1, 1, 1, 1, 1

Re: [EM] Simulations with social welfare functions

2006-05-24 Thread bql
On Wed, 24 May 2006, Jobst Heitzig wrote: > a week ago I suggested using social welfare functions (such as the Gini > welfare function) to evaluate election methods. I have also been trying to run simulations that count up the social welfare, but my initial results caused me to doubt my impleme

[EM] Simulations with social welfare functions

2006-05-24 Thread Jobst Heitzig
Hello all, a week ago I suggested using social welfare functions (such as the Gini welfare function) to evaluate election methods. Now I did some simulations of the following kind: 1. Draw n (e.g. 1000) voter and c (e.g. 3) candidate positions from a d-dimensional (e.g. 2) standard normal dist