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Here is an unusual case from a real poll run recently by a group
using CIVS. Usually there is a Condorcet winner, but not this time.
Who should win?<br>
<br>
Ranked pairs says #1, and ranks the six choices as shown. It only
has to reverse one preference. Schulze says #2, because it beats #6
by 15-11, and #6 beats #1 by 14-13. So #2 has a 14-13 beatpath vs.
#1. Hill's method ("Condorcet-IRV") picks #6 as the winner.<br>
<br>
-- Andrew<br>
<br>
<table class="matrix">
<tbody>
<tr>
<td> </td>
<td> </td>
<th width="20px">1.</th>
<th width="20px">2.</th>
<th width="20px">3.</th>
<th width="20px">4.</th>
<th width="20px">5.</th>
<th width="20px">6.</th>
</tr>
<tr>
<th align="left">1. <br>
</th>
<td width="40px"> </td>
<td class="count">-</td>
<td class="win" title="mead.hivemind.net beats
maya.hivemind.net 13–9">13</td>
<td class="win" title="mead.hivemind.net beats
buzz.hivemind.net 15–11">15</td>
<td class="win" title="mead.hivemind.net beats
sting.hivemind.net 17–9">17</td>
<td class="win" title="mead.hivemind.net beats
bumble.hivemind.net 16–11">16</td>
<td class="lose" title="mead.hivemind.net loses to
drone.hivemind.net 13–14">13</td>
</tr>
<tr>
<th align="left">2. <br>
</th>
<td width="40px"> </td>
<td class="lose" title="maya.hivemind.net loses to
mead.hivemind.net 9–13">9</td>
<td class="count">-</td>
<td class="win" title="maya.hivemind.net beats
buzz.hivemind.net 13–11">13</td>
<td class="win" title="maya.hivemind.net beats
sting.hivemind.net 14–10">14</td>
<td class="win" title="maya.hivemind.net beats
bumble.hivemind.net 17–10">17</td>
<td class="win" title="maya.hivemind.net beats
drone.hivemind.net 15–11">15</td>
</tr>
<tr>
<th align="left">3.</th>
<td width="40px"> </td>
<td class="lose" title="buzz.hivemind.net loses to
mead.hivemind.net 11–15">11</td>
<td class="lose" title="buzz.hivemind.net loses to
maya.hivemind.net 11–13">11</td>
<td class="count">-</td>
<td class="win" title="buzz.hivemind.net beats
sting.hivemind.net 13–10">13</td>
<td class="win" title="buzz.hivemind.net beats
bumble.hivemind.net 15–9">15</td>
<td class="win" title="buzz.hivemind.net beats
drone.hivemind.net 14–11">14</td>
</tr>
<tr>
<th align="left">4. <br>
</th>
<td width="40px"> </td>
<td class="lose" title="sting.hivemind.net loses to
mead.hivemind.net 9–17">9</td>
<td class="lose" title="sting.hivemind.net loses to
maya.hivemind.net 10–14">10</td>
<td class="lose" title="sting.hivemind.net loses to
buzz.hivemind.net 10–13">10</td>
<td class="count">-</td>
<td class="win" title="sting.hivemind.net beats
bumble.hivemind.net 14–10">14</td>
<td class="tie" title="sting.hivemind.net ties
drone.hivemind.net 13–13">13</td>
</tr>
<tr>
<th align="left">5. <br>
</th>
<td width="40px"> </td>
<td class="lose" title="bumble.hivemind.net loses to
mead.hivemind.net 11–16">11</td>
<td class="lose" title="bumble.hivemind.net loses to
maya.hivemind.net 10–17">10</td>
<td class="lose" title="bumble.hivemind.net loses to
buzz.hivemind.net 9–15">9</td>
<td class="lose" title="bumble.hivemind.net loses to
sting.hivemind.net 10–14">10</td>
<td class="count">-</td>
<td class="win" title="bumble.hivemind.net beats
drone.hivemind.net 13–10">13</td>
</tr>
<tr>
<th align="left">6. <br>
</th>
<td width="40px"> </td>
<td class="win" title="drone.hivemind.net beats
mead.hivemind.net 14–13">14</td>
<td class="lose" title="drone.hivemind.net loses to
maya.hivemind.net 11–15">11</td>
<td class="lose" title="drone.hivemind.net loses to
buzz.hivemind.net 11–14">11</td>
<td class="tie" title="drone.hivemind.net ties
sting.hivemind.net 13–13">13</td>
<td class="lose" title="drone.hivemind.net loses to
bumble.hivemind.net 10–13">10</td>
<td class="count">-</td>
</tr>
</tbody>
</table>
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