Looney Labs Icehouse Mailing list Archive

Re: [Icehouse] IGDC Tallying and Other Procedures

  • FromAndrew Plotkin <erkyrath@xxxxxxxxxx>
  • DateFri, 28 Sep 2007 14:52:18 -0400 (EDT)
On Fri, 28 Sep 2007, Timothy Hunt wrote:

I can't think of any legitimate, deliberate, way of expressing one's
preference in the table that one can't express in a ranked list with
the ability to provide for "is equal to"

  ` A B C D E
  A ` + + + +
  B - `   + +
  C -   `   +
  D - -   ` +
  E - - - - `

This table has no contradictions, and it's transitively complete -- you can't deduce any more entries from those. But you can't express it as a list.

It's *not* the list "A, BCD, E"; that would be the (different) table

  ` A B C D E
  A ` + + + +
  B - `     +
  C -   `   +
  D -     ` +
  E - - - - `

and misses the fact that I prefer B to D.

Nor is it the list "A, B, C, D, E"; that says that I prefer B to C, and C to D, which I don't.

You could express my table validly as a *set* of ballots. But you have to be careful not to double-vote on any particular pair; that would throw off the outcome.

You could express it as the not-a-list

 - A,    E -

I'm pretty sure you don't want people to mail you ballots that look like that. :)


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