<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">I have an idea for a not-very-sinple FBC-complying method that behaves like ICT with 3 candidates, but better</div>
<div style="RIGHT: auto">handles more candidates and ballots with more than 3 ratings-slots or ballots that allow full ranking of the candidates.</div>
<div style="RIGHT: auto"> </div>
<div style="RIGHT: auto">*Voters rank from the top however many candidates they wish. Equal-top ranking and truncation must be allowed.</div>
<div style="RIGHT: auto"> </div>
<div style="RIGHT: auto">Use the "Tied-at-the-Top Rule" (invented by Kevin Venzke) to discover if any candidate/s pairwise beats (according</div>
<div style="RIGHT: auto">to that rule's special definition) all the others, and if so to disqualify all those that don't.</div>
<div style="RIGHT: auto"> </div>
<div style="RIGHT: auto"><A href="http://wiki.electorama.com/wiki/Tied_at_the_top_rule">http://wiki.electorama.com/wiki/Tied_at_the_top_rule</A></div>
<div style="RIGHT: auto"> </div>
<div style="RIGHT: auto">Then construct a pairwise matrix that is "normal" except that ballots that equal-rank at the top any X and Y contribute</div>
<div style="RIGHT: auto">a whole vote (in the X versus Y pairwise comparison) to each of X and Y. Ballots that equal-rank any X and Y in any</div>
<div style="RIGHT: auto">below-top position contribute (in that pairwise comparison) no vote to either.</div>
<div style="RIGHT: auto"> </div>
<div style="RIGHT: auto">The purpose of that matrix is just to determine Losing Votes scores. The directions of the defeats are determined by</div>
<div style="RIGHT: auto">the Tied-at-the-Top rule (according to which X and Y can pairwise "defeat" each other.</div>
<div style="RIGHT: auto"> </div>
<div style="RIGHT: auto">Elect the qualified candidate whose worse "defeat" (as identified by TTR and measured by Losing Votes with the above<BR>equal top-ranking rule) is the weakest.*</div>
<div style="RIGHT: auto"> </div>
<div style="RIGHT: auto">I hope that inelegant waffle is at least clear.</div>
<div style="RIGHT: auto"> </div>
<div style="RIGHT: auto">Chris Benham<VAR id=yui-ie-cursor></VAR></div></div></body></html>