[EM] 3 or more choices - Condorcet

[Chris Benham]

Ted Stern wrote (8 Nov 2012):

"Hi Chris,

You discuss Winning Votes vs. Margins below.

What do you think about using the Cardinal-Weighted Pairwise array in
conjunction with the traditional Condorcet array?

In other words, either WV or Margins is used to decide whether there
is a defeat, but the CWP array is used to determine the defeat
strength, in either Ranked Pairs or Schulze.

To recap for those not familiar with the technique (due to James
Green-Armytage in 2004), a ratings ballot is used: give a score of a_i
to candidate i.  Ranks are inferred: candidate i receives one
Condorcet vote over candidate j if a_i > a_j.

Whenever that Condorcet vote is recorded into the standard A_ij array,
you also tally the difference (a_i - a_j) into the corresponding
CWP_ij location."

Ted,
Actually I talked more about Losing Votes than Winning Votes.

I can't remember all the reasons I don't like CWP, but it is far too complicated
with not enough "bang for buck".  I prefer Smith//Approval (ranking), or a method
that Forest and I discussed a  while ago. It is a bit better (and more elegant) than
Smith//Approval, and nearly always gives the same winner.

Chris Benham
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.electorama.com/pipermail/election-methods-electorama.com/attachments/20121111/9fe2098c/attachment-0004.htm>