Re: [EM] question re: converting ballots into a matrix

2005-12-06 Thread Paul Kislanko
Before everybody jumps all over me again, it is possible to determine the Borda WINNER from the pairwise matrix using the method Chris described. But it is not possible to re-create the Borda scores from it. Nor is it possible to construct a pairwise matrix from just a list of the Borda scores fo

[EM] oops

2005-12-06 Thread Warren Smith
I made a few typos in my replies to Venzke, but hopefully the reader can mentally corrct them. The conclusion Venzke completely fialed in his attacks on my proofs, remains in force. Also in my reply to Rob Brown, I think I should not have said his 'fix" converted range (effectively, with strate

[EM] Rob Brown's "repair" of range voting

2005-12-06 Thread Warren Smith
>Ok, I've made it pretty clear I am not a fan of Range Voting as it has been presented. However, I could see it being done in a way that is fair and does not encourage people to inadvertedly do something that is counter to their interests. Let's say that votes can range from 0 to 10. For simplic

Re: [EM] question re: converting ballots into a matrix

2005-12-06 Thread Paul Kislanko
I don't think Chris is right about this, unless the definitions for "total votes for" and "total votes against" are defined in a way that isn't included in his description. If "total votes for" is the sum of votes in the row corresponding to the alternative, and "total votes against" is the sum of

Re: [EM] question re: converting ballots into a matrix

2005-12-06 Thread Chris Benham
rob brown wrote: > I don't see how you can do something as simple as a borda count with > the data in a traditional matrix. If you score each candidate by [(total votes for) minus (total votes against)] then you will get the equivalent of the Borda scores (i.e. the candidate with

Re: [EM] Fixing Range Voting

2005-12-06 Thread rob brown
Ok, well it sounds like the only way to fix range voting then is to just get rid of the in-between values and have approval.On 12/6/05, Kevin Venzke < [EMAIL PROTECTED]> wrote:Sorry, but you've made the best strategy even simpler, without reducing the number of unwise voting options. One should jus

[EM] yet MORE massive confusion by Venzke:

2005-12-06 Thread Warren Smith
>WDS: > Proof sketch: > Because that winner X will be Condorcet winner. > For each Y not in {A,B}, X is ranked above Y one-half of the time, >Venzke: One-half isn't a reasonable guess for this. You're not considering the equal ranking at all. --WDS: wrong. one-half was not a "guess." It was an

[EM] reply to Venzke's confusion

2005-12-06 Thread Warren Smith
> WDS: Thm 1. > Suppose all the voters magically know the identity X of the > max-summed-utility candidate. > Suppose each voter votes approval-style by approving of all candidates > with more utility > than f*U_X, where U_X is X's utility (to that voter) and f is a constant > (for example f=1

Re: [EM] Advantage of MDDA over Approval?

2005-12-06 Thread Anthony Duff
--- Jan Kok <[EMAIL PROTECTED]> wrote: > > I think the main technical problem with Approval is that it can be > difficult to decide whether to vote for compromise candidates in > addition to ones favorite. Does MDDA help? The special thing about approval is that it forces simplicity. I see the

Re: [EM] Fixing Range Voting

2005-12-06 Thread Kevin Venzke
Rob, --- rob brown <[EMAIL PROTECTED]> a écrit : > Ok, I've made it pretty clear I am not a fan of Range Voting as it has > been presented. However, I could see it being done in a way that is fair and > does not encourage people to inadvertedly do something that is counter to > their interests. >

Re: [EM] Fixing Range Voting

2005-12-06 Thread Eric Gorr
Quoting rob brown <[EMAIL PROTECTED]>: > Ok, I've made it pretty clear I am not a fan of Range Voting as it has been > presented. However, I could see it being done in a way that is fair and > does not encourage people to inadvertedly do something that is counter to > their interests. Just a gue

[EM] Fixing Range Voting

2005-12-06 Thread rob brown
Ok, I've made it pretty clear I am not a fan of Range Voting as it has been presented.  However, I could see it being done in a way that is fair and does not encourage people to inadvertedly do something that is counter to their interests. Let's say that votes can range from 0 to 10.  For simplicit

Re: [EM] range voting - strength of feeling

2005-12-06 Thread James Gilmour
> Warren Smith Sent: Tuesday, December 06, 2005 7:48 PM > JG, you have misunderstood me. > I have never advocated that "the scores used by the voters > could (or should) reflect the differences in their strengths > of feeling, ie without obvious reference to any fixed scale." > > I have always a

Re: [EM] More results about... correction

2005-12-06 Thread Kevin Venzke
Hello, --- Kevin Venzke <[EMAIL PROTECTED]> a écrit : > Warren, > > --- Warren Smith <[EMAIL PROTECTED]> a écrit : > > Consider the following cheapo model of simulating an election. Each > > candidate to > > each voter has a utility which is an independent uniform random in the > > interval [0,1]

Re: [EM] More results about computer simulations of elections pt 2

2005-12-06 Thread Kevin Venzke
Warren, --- Warren Smith <[EMAIL PROTECTED]> a écrit : > But in this post we shall consider some rank-ballot voting methods that > allow rank-equalities. > > Thm 7. > Suppose we are using a Condorcet method but this time allowing > rank-equalities. > Suppose there are two random but pre-fixed c

Re: [EM] Advantage of MDDA over Approval?

2005-12-06 Thread Kevin Venzke
Jan, --- Jan Kok <[EMAIL PROTECTED]> a écrit : > I'm having a hard time wrapping my head around MDDA, partly because > I'm not sure about the definition. A candidate A must be ranked lower > than some _specific_ candidate B on a majority of ballots in order to > disqualify A ("ranked lower" would

Re: [EM] More results about computer simulations of elections

2005-12-06 Thread Kevin Venzke
Warren, --- Warren Smith <[EMAIL PROTECTED]> a écrit : > Consider the following cheapo model of simulating an election. Each > candidate to > each voter has a utility which is an independent uniform random in the > interval [0,1]. > There are some fixed number C of candidates and some number V of

[EM] Advantage of MDDA over Approval?

2005-12-06 Thread Jan Kok
I'm having a hard time wrapping my head around MDDA, partly because I'm not sure about the definition. A candidate A must be ranked lower than some _specific_ candidate B on a majority of ballots in order to disqualify A ("ranked lower" would include A not appearing on a ballot while B appears on

[EM] Voting puzzle page now available at CRV

2005-12-06 Thread Warren Smith
http://math.temple.edu/~wds/crv/PuzzlePage.html currently contains 11 interesting puzzles related to voting. Puzzles range from easy to difficult and in fact include two open problems I do not know the answers to. Answers are available by typing in a password; the password is obtainable when you

[EM] range voting - strength of feeling

2005-12-06 Thread Warren Smith
>Gilmour: If we have a fixed range scale, say 1 = least preferred, 1000 = most preferred, it is perfectly obvi ous that every voter will mark 1 for his/her least preferred candidate, 1000 for his/her most preferred candidate, and sc ore the others somewhere between the extremes. Then all voters

Re: [EM] ignoring "strength of opinion"

2005-12-06 Thread rob brown
On 12/6/05, James Gilmour <[EMAIL PROTECTED]> wrote: Rob, if there is any confusion it is in the original "maximises social utility" posts.  The words in those messages didNOT make it clear or even suggest that the ranges should be recorded on a fixed scale - quite the contrary.  That's what starte

Re: [EM] ignoring "strength of opinion"

2005-12-06 Thread James Gilmour
> rob brown Sent: Tuesday, December 06, 2005 6:07 PM > On 12/6/05, James Gilmour <[EMAIL PROTECTED]> wrote: >> This is the issue to which there has been no answer from >> those who suggested it. There is no problem with fixed scale >> range voting (because the fixed scale 'normalises' the >> c

Re: [EM] ignoring "strength of opinion"

2005-12-06 Thread rob brown
On 12/6/05, James Gilmour <[EMAIL PROTECTED]> wrote: This is the issue to which there has been no answer from those who suggested it.  There is no problem with fixed scale range voting (because the fixed scale 'normalises' the contribution of every voter), but that is not what was proposed to maxim

[EM] More results about computer simulations of elections - without need of a computer!

2005-12-06 Thread Warren Smith
More results about computer simulations of elections - without need of a computer! --Warren D Smith--Dec 2005 We continue to consider the following cheapo model of simulating an election. Each candidate to each voter has a utility which i

Re: [EM] ignoring "strength of opinion"

2005-12-06 Thread James Gilmour
> Abd ul-Rahman Lomax Sent: Tuesday, December 06, 2005 4:19 AM > To: election-methods@electorama.com > Subject: Re: [EM] ignoring "strength of opinion" > > At 06:31 AM 12/3/2005, James Gilmour wrote: > >So you think that just because I feel more strongly than you do in > >my liking for A and my d