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
Simmons, Forest Sent: Wednesday, May 24, 2006 3:33 AM
In some elections not all of the ballots are cast at the same
time, and furthermore, the partial results (from exit polls,
say) may be available to voters later in the sequence.
The simple, and logical, solution where an election spans
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
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,
