<HTML><FONT FACE=arial,helvetica><HTML><FONT SIZE=2 PTSIZE=10 FAMILY="SANSSERIF" FACE="Arial" LANG="0">In a message dated 24/09/2004 20:06:37 GMT Standard Time, election-methods-electorama.com-request@electorama.com writes:<BR>
<BR>
<BR>
<BLOCKQUOTE TYPE=CITE style="BORDER-LEFT: #0000ff 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px; PADDING-LEFT: 5px">I'm not sure of the best way to implement Borda with ballots that don't <BR>
rank all the candidates. Suppose that 4 candidates are running. With a <BR>
ballot like:<BR>
A B C D<BR>
A gets 4 points, B gets 3 points and so on. But what about a ballot like<BR>
A B<BR>
A and B should be treated as above, but what about C and D? I see two options:<BR>
<BR>
(1) C and D each get nothing.<BR>
<BR>
(2) C and D each get 1.5 points (average of leftover points).<BR>
<BR>
Any thoughts as to which is better?<BR>
<BR>
</BLOCKQUOTE><BR>
<BR>
What do people who advocate Borda as a serious method (i.e. Donald Saari) say you should do in situations like this?<BR>
<BR>
If there is a consensus of opinion amongst Borda supporters as to what you do regarding truncated ballots then a proper implementation of Borda will follow that consensus.<BR>
<BR>
David Gamble</FONT></HTML>