<html><body><div style="color:#000; background-color:#fff; font-family:times new roman, new york, times, serif;font-size:12pt"><div style="RIGHT: auto">Ted Stern wrote (8 Nov 2012):<BR><VAR id=yui-ie-cursor></VAR><BR>"Hi Chris,<BR><BR>You discuss Winning Votes vs. Margins below.<BR><BR>What do you think about using the Cardinal-Weighted Pairwise array in<BR>conjunction with the traditional Condorcet array?<BR><BR>In other words, either WV or Margins is used to decide whether there<BR>is a defeat, but the CWP array is used to determine the defeat<BR>strength, in either Ranked Pairs or Schulze.<BR><BR>To recap for those not familiar with the technique (due to James<BR>Green-Armytage in 2004), a ratings ballot is used: give a score of a_i<BR>to candidate i. Ranks are inferred: candidate i receives one<BR>Condorcet vote over candidate j if a_i > a_j.<BR><BR>Whenever that Condorcet vote is recorded into the standard A_ij array,<BR>you also tally the
difference (a_i - a_j) into the corresponding<BR>CWP_ij location."<BR><BR>Ted,<BR>Actually I talked more about Losing Votes than Winning Votes.<BR style="RIGHT: auto"><BR>I can't remember all the reasons I don't like CWP, but it is far too complicated</div>
<div style="RIGHT: auto">with not enough "bang for buck". I prefer Smith//Approval (ranking), or a method</div>
<div style="RIGHT: auto">that Forest and I discussed a while ago. It is a bit better (and more elegant) than<BR>Smith//Approval, and nearly always gives the same winner.<BR><BR>Chris Benham<BR style="RIGHT: auto"></div></div></body></html>