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Majority Judgment: Difference between revisions

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Majority Judgment (view source)

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If there were four ratings named "Excellent", "Good", "Fair", and "Poor", and each voter assigned four different ratings to the four cities, then the sorted scores would be as follows:
 
 
<table>
 
<tr>
<td align=right>City&nbsp;&nbsp;&nbsp;</td>
<td>
<table cellpadding=0 width=600500 border=0 cellspacing=0>
<tr>
<td width=49%>&nbsp;</td>
<td width=2% textalign=center>\/↓</td>
<td width=49%>Median point</td>
</tr>
Line 37 ⟶ 36:
<td align=right>Nashville</td>
<td>
<table cellpadding=0 width=600500 border=0 cellspacing=0>
<tr>
<td bgcolor=green width=26%>&nbsp;</td>
<td bgcolor=YellowGreen width=42%></td>
<td bgcolor=Gold width=32%></td>
<td bgcolor=red width=0%></td>
</tr>
</table>
Line 51 ⟶ 49:
<td align=right>Chattanooga</td>
<td>
<table cellpadding=0 width=600500 border=0 cellspacing=0>
<tr>
<td bgcolor=green width=15%>&nbsp;</td>
<td bgcolor=YellowGreen width=43%></td>
<td bgcolor=Gold width=42%></td>
<td bgcolor=red width=0%></td>
</tr>
</table>
Line 65 ⟶ 62:
<td align=right>Knoxville</td>
<td>
<table cellpadding=0 width=600500 border=0 cellspacing=0>
<tr>
<td bgcolor=green width=17%>&nbsp;</td>
<td bgcolor=YellowGreen width=15%></td>
<td bgcolor=Gold width=26%></td>
<td bgcolor=redDarkOrange width=42%></td>
</tr>
</table>
Line 79 ⟶ 76:
<td align=right>Memphis</td>
<td>
<table cellpadding=0 width=600500 border=0 cellspacing=0>
<tr>
<td bgcolor=green width=42%>&nbsp;</td>
<td bgcolor=YellowGreenDarkOrange width=058%></td>
<td bgcolor=Gold width=0%></td>
<td bgcolor=red width=58%></td>
</tr>
</table>
Line 98 ⟶ 93:
<td>&nbsp;</td>
<td>
<table cellpadding=1 width=600 border=0 cellspacing=1>
<tr>
<td width=25%>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</td>
<td bgcolor=green>&nbsp;</td>
<td>&nbsp;ExellentExcellent&nbsp;&nbsp;</td>
<td bgcolor=YellowGreen>&nbsp;</td>
<td>&nbsp;Good&nbsp;&nbsp;</td>
<td bgcolor=Gold>&nbsp;</td>
<td>&nbsp;Fair&nbsp;&nbsp;</td>
<td bgcolor=redDarkOrange>&nbsp;</td>
<td>&nbsp;Poor&nbsp;&nbsp;</td>
<td width=50%>&nbsp;</td>
</tr>
</table>
Line 118 ⟶ 112:
</table>
 
The mediansmedian rating for Nashville and Chatanooga would beis "Good"; for Knoxville, "Fair"; and for Memphis, "Poor". Nashville and Chatanooga are tied, so "Good" ratings wouldhave to be removed from both. After removing 16% of the votes from each, Chatanooga'suntil mediantheir wouldmedians roundbecome downdifferent. to "Fair", while Nashville would remain at "Good"<ref>After removal,removing Chatanooga would have 42% of the initial electorate at "Fair", 2716% "Good", andratings 15%from "Excellent",the whilevotes Nashvilleof would have 32% "Fair"each, 26%the "Good",sorted andratings 26%are "Excellent"</ref> and so '''Nashville''' would win.now:
 
<table>
 
<tr>
<td align=right>City&nbsp;&nbsp;&nbsp;</td>
<td>
<table cellpadding=0 width=600500 border=0 cellspacing=0>
<tr>
<td width=49%>&nbsp;</td>
<td width=2% textalign=center>\/↓</td>
<td width=49%>Median point</td>
</tr>
Line 138 ⟶ 132:
<td align=right>Nashville</td>
<td>
<table cellpadding=0 width=600500 border=0 cellspacing=0>
<tr>
<td bgcolor=gray width=8%>&nbsp;</td>
Line 153 ⟶ 147:
<td align=right>Chattanooga</td>
<td>
<table cellpadding=0 width=600500 border=0 cellspacing=0>
<tr>
<td bgcolor=gray width=8%></td>
Line 173 ⟶ 167:
<td>&nbsp;</td>
<td>
<table cellpadding=1 width=600 border=0 cellspacing=1>
<tr>
<td width=20%>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</td>
<td bgcolor=gray>&nbsp;</td>
<td>&nbsp;Removed&nbsp;ratings&nbsp;(sorted&nbsp;to&nbsp;both&nbsp;ends&nbsp;evenly&nbsp;for&nbsp;easy&nbsp;comparison&nbsp;of&nbsp;medians&nbsp;with&nbsp;above).</td>
<td width=20%>&nbsp;</td>
</tr>
</table>
</td>
</table>
 
Chatanooga now has the same number of "Fair" ratings as "Good" and "Excellent" combined, so its median is rounded down to "Fair", while Nashville's median remains at "Good"<ref>After removal, Chatanooga has 42% of the initial electorate at "Fair", 27% "Good", and 15% "Excellent", while Nashville has 32% "Fair", 26% "Good", and 26% "Excellent"</ref> and so '''Nashville''', the capital in real life, wins.
 
If voters from Knoxville and Chattanooga were to rate Nashville as "Poor" and/or both sets of voters were to rate Chattanooga as "Excellent", in an attempt to make their preferred candidate Chatanooga win, the winner would still be Nashville.
 
==See also==
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