<HTML><BODY>
<div>As a quick <span class="correction" id="">recap</span>, the Burr <span class="correction" id="">dilemma</span> is where there is an incentive for voters from <br>
the same faction/party not to approve all members of that party.<br>
<br>
E.g. if first choice preferences are <br>
<br>
<span class="correction" id="">A1</span>: 25%<br>
<span class="correction" id="">A2</span>: 30%<br>
B: 45%<br>
<br>
<span class="correction" id="">A1</span> and <span class="correction" id="">A2</span> agree to ask their supporter to approve each other.<br>
<br>
The ballots cast are:<br>
<br>
<span class="correction" id="">A1</span>: <span class="correction" id="">A1</span><br>
<span class="correction" id="">A2</span>: <span class="correction" id="">A1</span> and <span class="correction" id="">A2</span><br>
B: B<br>
<br>
<span class="correction" id="">A1</span> then wins as <span class="correction" id="">A1</span>'s supporters defected on the agreement even <br>
though <span class="correction" id="">A2</span> was the least supported candidate and a minority of <br>
the A party liked the candidate. <br>
<br>
This incentive could result in B winning if both <span class="correction" id="">A2</span> and <span class="correction" id="">A1</span>'s<br>
supporters did it, which results in a minority candidate winning.<br>
<br>
--------------------------------------------<br>
<br>
So, what about something like this:<br>
<br>
On the ballot the voter can mark a candidate as<br>
<br>
- favorite (max 1)<br>
- conditional<br>
- approved<br>
<br>
Count all ballots to determine the number of favorite votes for each<br>
candidate.<br>
<br>
Count all the approval votes. <br>
<br>
A ballot counts as approving a candidate if <br>
<br>
- the voter selects approved<br>
- the voter selects favorite<br>
- the voter selects conditional and the candidate got more favorite<br>
votes than the <span class="correction" id="">voter's</span> favorite.<br>
<br>
--------------------------------------------<br>
<br>
If everyone using conditional or favorite, then a candidate who is the <br>
favorite of the majority would always win.<br>
<br>
In the above example, the voters could cast<br>
<br>
25 <span class="correction" id="">A1</span>: <span class="correction" id="">A1</span>(F), <span class="correction" id="">A2</span><br>
30 <span class="correction" id="">A2</span>: <span class="correction" id="">A1</span>, <span class="correction" id="">A2</span>(F)<br>
45 B: B(F)<br>
<br>
Results:<br>
<br>
<span class="correction" id="">A1</span>: 25 (obtained fewer votes than <span class="correction" id="">A2</span> as favorite so doesn't get transfers)<br>
<span class="correction" id="">A2</span>: 55 (full transfers)<br>
B: 45 <br>
<br>
A2 wins. <br>
<br>
If the A1 voters withheld support, the result would be:<br>
<br>
A1: 25 (no transfers due to lower favorite)<br>
A2: 35 (no transfers as A1 voters defected)<br>
B: 45<br>
<br>
B wins. <br>
<br>
Defecting will not help your favorite get elected.<br>
<br>
The system has some plurality like effects though. One option would<br>
be to use approval for the favorite system (so allow <span class="correction" id="">overvoting</span> in the<br>
favorite count). In fact, it would be possible to have multiple stages,<br>
so use the system itself for the favorite count.<br>
<br>
I think the tactics in such a case would get pretty complex.<br>
<br>
</div>
<div> </div>
<div style="clear: both;"><span class="correction" id="">Raphfrk</span><br>
--------------------<br>
Interesting site<br>
"what if anyone could modify the laws"<br>
<br>
<span class="correction" id="">www</span>.<span class="correction" id="">wikocracy</span>.<span class="correction" id="">com</span></div>
<div> </div>
<!-- end of AOLMsgPart_0_2239f3bf-589c-4357-a724-163e0087ea70 -->
<div class="AOLPromoFooter">
<hr style="margin-top:10px;" />
<a href="http://pr.atwola.com/promoclk/100122638x1081283466x1074645346/aol?redir=http%3A%2F%2Fwww%2Eaim%2Ecom%2Ffun%2Fmail%2F" target="_blank"><b>Check Out the new free AIM(R) Mail</b></a> -- 2 GB of storage and industry-leading spam and email virus protection.<br />
</div>
</BODY></HTML>