Re: [EM] Question about a criterion for ballot counting

2006-06-06 Thread Jonathan Lundell
At 1:14 AM -0600 6/6/06, Jan Kok wrote: Loops and backward jumps would not be allowed in the user-supplied instructions. My guess is that most voting methods can be described with the above program template, and some very simple operations such as add a constant, get the nth element of an array,

Re: [EM] Question about a criterion for ballot counting

2006-06-06 Thread Alex Small
Jan-I imagine something like this:If (condition A1 and condition A2 and...) OR (condition A3 and condition A4 and...) OR ()...Then elect A Else If (condition B1 and conditionB2 and...) or (condition B3 and condition B4 and...) or ()...Then elect BAnd so forth. That's how ordinary

Re: [EM] Question about a criterion for ballot counting

2006-06-06 Thread Alex Small
Kevin-I have looked at one or two of Woodall's papers. Do you havea reference for that "continuous" criterion? It's not quite what I'm looking for, but it's close.Thanks.AlexKevin Venzkewrote:Date: Tue, 6 Jun 2006 18:23:17 +0200 (CEST)From: Kevin Venzke <[EMAIL

Re: [EM] Question about a criterion for ballot counting

2006-06-06 Thread bql
This discussion sounds like what I encountered in Computer Science under the topics of computability and computational complexity. I think we can safely say that a good election method is an algorithm that executes in bounded time. An election method should not be an exercise in solving the

Re: [EM] Question about a criterion for ballot counting

2006-06-06 Thread Jobst Heitzig
Dear Brian! You wrote: The Gini Welfare function recently discussed here is O(n^2) with the number of voters. No, it's not. It's only O(n*log(n)): Sort the n individual values x_1,...,x_n to get x(1)x(2)...x(n), then compute the sum of (2*i-1)*x(i) for i from 1 to n. Jobst

[EM] Question about a criterion for ballot counting

2006-06-05 Thread Alex Small
I'm still working ona paper that I alluded to in a post to the list a few weeks ago. In my work, I imposed a condition on election methods that is innocuous for public elections but mathematically somewhat arbitrary: I assumed that the ballot counting rules can be specified with a finite number of