[Date Prev][Date Next] [Thread Prev][Thread Next] [Date Index] [Thread Index]

Re: April 17th Draft of the Voting GR



On Fri, Apr 18, 2003 at 04:05:06PM -0500, Manoj Srivastava wrote:

We're not going to ever get anywhere here, are we?

> >> Raul Miller <moth@magenta.com> said: 
>  > I've also made explicit that only undropped defeats are used in
>  > determining the schwartz set.
> 	Whoa there. I think A transitively defeats option C if a
>  defeats B and B defeats C, whether or not the defeat is dropped.

It doesn't. Once defeats are dropped, they are *entirely* irrelevant to
the vote, and it's utterly useless to have terms that refer to them.

A minimalist change is just to add the qualifier "undropped" to lots of
places:

     4. We construct the Schwartz set based on undropped options and
        undropped defeats:
           a. An option A defeats an option B, if V(A,B) is strictly
              greater than V(B,A). If A defeats B, then (A,B) is called
	      a defeat.
           b. An option A transitively defeats an option C if A
              defeats C or if there is some other option B where A
              defeats B AND B transitively defeats C.
           c. An option A is in the Schwartz set if for all options B,
              either A transitively defeats B, or B does not transitively
              defeat A, considering only undropped defeats.
     5. If there are undropped defeats between options in the Schwartz set, 
	we drop the weakest such defeats, and return to step 4.
           a. A defeat (A,X) is weaker than a defeat (B,Y) if V(A,X)
              is less than V(B,Y).  Also, (A,X) is weaker than (B,Y)
              if V(A,X) is equal to V(B,Y) and V(X,A) is greater than
              V(Y,B).
	   b. A weakest undropped defeat is an undropped defeat that
	      has no other undropped defeat weaker than it.  There may
	      be more than one such defeat.
     6. If there are no undropped defeats within the Schwartz set,
        then the winner is chosen from the options in the Schwartz
        set. [...]

Cheers,
aj

-- 
Anthony Towns <aj@humbug.org.au> <http://azure.humbug.org.au/~aj/>
I don't speak for anyone save myself. GPG signed mail preferred.

  ``Dear Anthony Towns: [...] Congratulations -- 
        you are now certified as a Red Hat Certified Engineer!''

Attachment: pgp46yHAJaXw1.pgp
Description: PGP signature


Reply to: