<div dir="ltr">Greetings,<div><br></div><div>I have a challenge for all: I need a unified example where the most possible voting systems lead to different results. I know it might be easy to construct such a scenario with any number of runoffs and such, but that would not be in the spirit of the game. This is the best I came up with so far, 8 different winners, including a Condorcet-winner + 1 who could win under a dictatorship (or a 4 round system).<br><br><p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif"><span style="font-family:Arial,sans-serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">1000:Plurality>Bucklin>Coombs></span>IRV>Anti>Borda>Runoff>Condorcet>Dictator<span style="font-family:Arial,sans-serif"><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">999:Runoff>Condorcet>Bucklin>Anti>Dictator>Coombs>IRV>Borda>Plurality</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">998:IRV>Condorcet>Borda>Coombs>Anti>Dictator>Plurality>Bucklin>Runoff<br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">997:Coombs>Borda>Bucklin>Anti>Dictator>Runoff>Plurality>Condorcet>IRV<br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">996:Dictator>IRV>Condorcet>Coombs>Anti>Runoff>Plurality>Bucklin>Borda</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">995:Borda>Bucklin>Anti>Dictator>Coombs>IRV>Runoff>Plurality>Condorcet</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">994:Anti>Condorcet>Borda>IRV>Coombs>Dictator>Runoff>Plurality>Bucklin</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">993:Condorcet>IRV>Borda>Dictator>Runoff>Plurality>Anti>Bucklin>Coombs</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">992:Bucklin>Borda>Dictator>Condorcet>Coombs>IRV>Runoff>Plurality>Anti</span></span></span></span></p><br>And one without a Condorcet-winner, 9 different result with 9 candidates:<br><br><p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif"><span style="font-family:Arial,sans-serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">1000:Plurality>Bucklin>Coombs></span>IRV>Anti>Kemeny>Runoff>Schulze>Borda<span style="font-family:Arial,sans-serif"><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">999:Runoff>Schulze>Bucklin>Borda>Anti>Coombs>IRV>Kemeny>Plurality</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">998:IRV>Schulze>Coombs>Kemeny>Borda>Anti>Plurality>Bucklin>Runoff<br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">997:Coombs>Kemeny>Bucklin>Borda>Anti>Runoff>Plurality>Schulze>IRV<br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">996:Borda>IRV>Schulze>Coombs>Anti>Runoff>Plurality>Bucklin>Kemeny</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">995:Kemeny>Bucklin>Borda>Anti>Coombs>IRV>Runoff>Plurality>Schulze</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">994:Anti>Kemeny>Schulze>IRV>Coombs>Borda>Runoff>Plurality>Bucklin</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">993:Schulze>IRV>Borda>Kemeny>Runoff>Plurality>Anti>Bucklin>Coombs</span><br>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">992:Bucklin>Kemeny>Borda>Schulze>Coombs>IRV>Runoff>Plurality>Anti</span></span></span></span></p><br>Wonder what's the highest we could get to.</div><div>Cheers,</div></div>