Re: voting mechanics draft update

2002-11-19 Thread Branden Robinson
On Tue, Nov 19, 2002 at 06:47:39PM +0100, Matthias Urlichs wrote: > False (in general). [...] > That depends on how you arrange the voting process. That was my point. -- G. Branden Robinson| Debian GNU/Linux | Ignorantia judicis est calamitas [EMAIL PROTECT

Re: voting mechanics draft update

2002-11-19 Thread Branden Robinson
On Tue, Nov 19, 2002 at 06:47:39PM +0100, Matthias Urlichs wrote: > False (in general). [...] > That depends on how you arrange the voting process. That was my point. -- G. Branden Robinson| Debian GNU/Linux | Ignorantia judicis est calamitas [EMAIL PROTECT

Re: voting mechanics draft update

2002-11-19 Thread Raul Miller
On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > > > It is not possible for to express a lack of preference among multiple > > > options simultaneously with a preference for any of those multiple > > > options over another option? On Mon, Nov 18, 2002 at 03:39:21PM +1000, Anthon

Re: voting mechanics draft update

2002-11-19 Thread Matthias Urlichs
Hi, Branden Robinson: > It is not possible for to express a lack of preference among multiple > options simultaneously with a preference for any of those multiple > options over another option? > False (in general). > Is my understanding correct? > That depends on how you arrange the voting pro

Re: voting mechanics draft update

2002-11-19 Thread Raul Miller
On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > > > It is not possible for to express a lack of preference among multiple > > > options simultaneously with a preference for any of those multiple > > > options over another option? On Mon, Nov 18, 2002 at 03:39:21PM +1000, Anthon

Re: voting mechanics draft update

2002-11-19 Thread Matthias Urlichs
Hi, Branden Robinson: > It is not possible for to express a lack of preference among multiple > options simultaneously with a preference for any of those multiple > options over another option? > False (in general). > Is my understanding correct? > That depends on how you arrange the voting pro

Re: voting mechanics draft update

2002-11-18 Thread Branden Robinson
On Mon, Nov 18, 2002 at 12:47:03PM -0500, Raul Miller wrote: > On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > > It is not possible for to express a lack of preference among multiple > > options simultaneously with a preference for any of those multiple > > options over another

Re: voting mechanics draft update

2002-11-18 Thread Branden Robinson
On Mon, Nov 18, 2002 at 03:39:21PM +1000, Anthony Towns wrote: > On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > > It is not possible for to express a lack of preference among multiple > > options simultaneously with a preference for any of those multiple > > options over anothe

Re: voting mechanics draft update

2002-11-18 Thread Branden Robinson
On Mon, Nov 18, 2002 at 12:47:03PM -0500, Raul Miller wrote: > On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > > It is not possible for to express a lack of preference among multiple > > options simultaneously with a preference for any of those multiple > > options over another

Re: voting mechanics draft update

2002-11-18 Thread Branden Robinson
On Mon, Nov 18, 2002 at 03:39:21PM +1000, Anthony Towns wrote: > On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > > It is not possible for to express a lack of preference among multiple > > options simultaneously with a preference for any of those multiple > > options over anothe

Re: voting mechanics draft update

2002-11-18 Thread Raul Miller
On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > It is not possible for to express a lack of preference among multiple > options simultaneously with a preference for any of those multiple > options over another option? It's possible. Even if the underlying data structures would

Re: voting mechanics draft update

2002-11-18 Thread Raul Miller
On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > It is not possible for to express a lack of preference among multiple > options simultaneously with a preference for any of those multiple > options over another option? It's possible. Even if the underlying data structures would

Re: voting mechanics draft update

2002-11-17 Thread Anthony Towns
On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > It is not possible for to express a lack of preference among multiple > options simultaneously with a preference for any of those multiple > options over another option? [ 1 ] Foo [ 2 ] Bar [ 2 ] Baz [ 3 ] Quux should work fine w

Re: voting mechanics draft update

2002-11-17 Thread Branden Robinson
On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: > A.6 Vote Counting > > 1. Each ballot orders the options being voted on in the order >specified by the voter. If the voter does not rank some options, >this means that the voter prefers all ranked options over the

Re: voting mechanics draft update

2002-11-17 Thread Anthony Towns
On Mon, Nov 18, 2002 at 12:11:30AM -0500, Branden Robinson wrote: > It is not possible for to express a lack of preference among multiple > options simultaneously with a preference for any of those multiple > options over another option? [ 1 ] Foo [ 2 ] Bar [ 2 ] Baz [ 3 ] Quux should work fine w

Re: voting mechanics draft update

2002-11-17 Thread Branden Robinson
On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: > A.6 Vote Counting > > 1. Each ballot orders the options being voted on in the order >specified by the voter. If the voter does not rank some options, >this means that the voter prefers all ranked options over the

Re: voting mechanics draft update

2002-11-16 Thread Matthias Urlichs
Hi, Raul Miller: > The Schwartz set is the set of innermost unbeatened sets. There cannot > be more than one Schwartz set at any one time for any one set of votes. > > See http://www.barnsdle.demon.co.uk/vote/condor2.html for a more extensive > discussion of this subject. > Thanks for the link.

Re: voting mechanics draft update

2002-11-16 Thread Matthias Urlichs
Hi, Raul Miller: > The Schwartz set is the set of innermost unbeatened sets. There cannot > be more than one Schwartz set at any one time for any one set of votes. > > See http://www.barnsdle.demon.co.uk/vote/condor2.html for a more extensive > discussion of this subject. > Thanks for the link.

Re: voting mechanics draft update

2002-11-16 Thread Raul Miller
On Sat, Nov 16, 2002 at 06:56:37PM +0100, Matthias Urlichs wrote: > The reason for this to be a problem is that the dropping step only considers > the _innermost_ Schwartz set. There may be more than one, though off-hand > I couldn't invent a suitable example -- I'm sure one exists in the > literat

Re: voting mechanics draft update

2002-11-16 Thread Matthias Urlichs
Hi, Anthony Towns: > > >v. If this new Schwartz set contains only one option, that > > > option wins. > > > > > As per the definition, there is no such thing as a one-option Schwartz > > set > Uh, if C is the Condorcet winner, or becomes the Condorcet winner after > ignoring so

Re: voting mechanics draft update

2002-11-16 Thread Matthias Urlichs
Hi, Raul Miller: > On Sat, Nov 16, 2002 at 05:23:13AM +0100, Matthias Urlichs wrote: > > Note that ALL propositions are considered here, not just those > > participating in the Schwartz set. > > Hmm.. that's not what I was trying to say. Thanks. > The reason for this to be a problem is that the

Re: voting mechanics draft update

2002-11-16 Thread Raul Miller
On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: > > Definition: An option F transitively defeats an option G if G > > defeats F or if there is some other option H where H defeats > > G AND F transitively defeats H. > On Sat, Nov 16, 2002 at 09:04:42AM +01

Re: voting mechanics draft update

2002-11-16 Thread Raul Miller
Raul Miller: > >iv. If eliminating the weakest propositions would not eliminate > >all votes, a new Schwartz set is found based on the newly > >revised set of propositions. On Sat, Nov 16, 2002 at 05:23:13AM +0100, Matthias Urlichs wrote: > Note that ALL proposition

Re: voting mechanics draft update

2002-11-16 Thread Raul Miller
On Sat, Nov 16, 2002 at 06:56:37PM +0100, Matthias Urlichs wrote: > The reason for this to be a problem is that the dropping step only considers > the _innermost_ Schwartz set. There may be more than one, though off-hand > I couldn't invent a suitable example -- I'm sure one exists in the > literat

Re: voting mechanics draft update

2002-11-16 Thread Matthias Urlichs
Hi, Anthony Towns: > > >v. If this new Schwartz set contains only one option, that > > > option wins. > > > > > As per the definition, there is no such thing as a one-option Schwartz > > set > Uh, if C is the Condorcet winner, or becomes the Condorcet winner after > ignoring so

Re: voting mechanics draft update

2002-11-16 Thread Matthias Urlichs
Hi, Raul Miller: > On Sat, Nov 16, 2002 at 05:23:13AM +0100, Matthias Urlichs wrote: > > Note that ALL propositions are considered here, not just those > > participating in the Schwartz set. > > Hmm.. that's not what I was trying to say. Thanks. > The reason for this to be a problem is that the

Re: voting mechanics draft update

2002-11-16 Thread Raul Miller
On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: > > Definition: An option F transitively defeats an option G if G > > defeats F or if there is some other option H where H defeats > > G AND F transitively defeats H. > On Sat, Nov 16, 2002 at 09:04:42AM +01

Re: voting mechanics draft update

2002-11-16 Thread Raul Miller
Raul Miller: > >iv. If eliminating the weakest propositions would not eliminate > >all votes, a new Schwartz set is found based on the newly > >revised set of propositions. On Sat, Nov 16, 2002 at 05:23:13AM +0100, Matthias Urlichs wrote: > Note that ALL proposition

Re: voting mechanics draft update

2002-11-16 Thread Jochen Voss
Hello, even more confusion on my side :-( On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: > 1. Each ballot orders the options being voted on in the order >specified by the voter. If the voter does not rank some options, >this means that the voter prefers all rank

Re: voting mechanics draft update

2002-11-16 Thread Jochen Voss
Hello On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: >Definition: A proposition is a defeat, or a pair of options >where both have received votes explicitly comparing the two >options but neither option is able to defeat the other. Sorry, but I do

Re: voting mechanics draft update

2002-11-16 Thread Jochen Voss
Hello, On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: > Definition: An option F transitively defeats an option G if G > defeats F or if there is some other option H where H defeats > G AND F transitively defeats H. There is a mistake: "... if G defeats

Re: voting mechanics draft update

2002-11-16 Thread Jochen Voss
Hello, even more confusion on my side :-( On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: > 1. Each ballot orders the options being voted on in the order >specified by the voter. If the voter does not rank some options, >this means that the voter prefers all rank

Re: voting mechanics draft update

2002-11-16 Thread Anthony Towns
On Sat, Nov 16, 2002 at 05:23:13AM +0100, Matthias Urlichs wrote: > >v. If this new Schwartz set contains only one option, that > > option wins. > > > As per the definition, there is no such thing as a one-option Schwartz > set, so actually you'll have to restart with step 5. You

Re: voting mechanics draft update

2002-11-16 Thread Jochen Voss
Hello On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: >Definition: A proposition is a defeat, or a pair of options >where both have received votes explicitly comparing the two >options but neither option is able to defeat the other. Sorry, but I do

Re: voting mechanics draft update

2002-11-16 Thread Jochen Voss
Hello, On Fri, Nov 15, 2002 at 06:51:47PM -0500, Raul Miller wrote: > Definition: An option F transitively defeats an option G if G > defeats F or if there is some other option H where H defeats > G AND F transitively defeats H. There is a mistake: "... if G defeats

Re: voting mechanics draft update

2002-11-15 Thread Anthony Towns
On Sat, Nov 16, 2002 at 05:23:13AM +0100, Matthias Urlichs wrote: > >v. If this new Schwartz set contains only one option, that > > option wins. > > > As per the definition, there is no such thing as a one-option Schwartz > set, so actually you'll have to restart with step 5. You

Re: voting mechanics draft update

2002-11-15 Thread Matthias Urlichs
Hi, Raul Miller: >iv. If eliminating the weakest propositions would not eliminate >all votes, a new Schwartz set is found based on the newly >revised set of propositions. > Note that ALL propositions are considered here, not just those participating in the Schwartz

Re: voting mechanics draft update

2002-11-15 Thread Matthias Urlichs
Hi, Raul Miller: >iv. If eliminating the weakest propositions would not eliminate >all votes, a new Schwartz set is found based on the newly >revised set of propositions. > Note that ALL propositions are considered here, not just those participating in the Schwartz