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 it

[EM] Monotonicity Reference?

2006-05-25 Thread Alex Small
Hi everybody. I know I haven't posted much for quite some time. Right now I'm working on a paper on a result in strategic voting. I'll post the result once I've written the paper and checked the logic of the proof carefully. For now, I'm hoping somebody can help me with a reference:At one

Re: [EM] Simulations with social welfare functions

2006-05-25 Thread Simmons, Forest
Jobst, Thanks for doing these simulations and getting us thinking along these lines. I wonder how Bucklin would fare in your simulations? 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

[EM] The case of one faction per candidate

2006-05-25 Thread Simmons, Forest
Let's consider the case of one candidate ordering (i.e. ranking) per candidate. One way this can happen is by each voter supporting the ranking published by his or her favorite candidate. Another way that this can be achieved is by averaging together all of the ballots that rate a given

Re: [EM] Monotonicity Reference?

2006-05-25 Thread Steve Eppley
Hi, Alex Small's definition of monotonicity (below) matches one that's commonly used. (It's the one I use in my website about the Maximize Affirmed Majorities voting method. MAM happens to be monotonic.) A couple of years ago someone posted here in EM the web addresses of two papers by