User:KelvinVoskuijl/Descending Baldwin Coalitions: Difference between revisions
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Every possible set of candidates is given a score equal to the Borda points of voters who are ''solidly committed'' to the candidates in that set. A voter is solidly committed to a set of candidates if he ranks every candidate in this set strictly above every candidate not in the set. At each counting step, all candidates who are not supported by the coalition are eliminated, and the ballots are recalculated (the coalition points are not), until one candidate has a majority of poinrs, |
Every possible set of candidates is given a score equal to the Borda points of voters who are ''solidly committed'' to the candidates in that set. A voter is solidly committed to a set of candidates if he ranks every candidate in this set strictly above every candidate not in the set. At each counting step, all candidates who are not supported by the coalition are eliminated, and the ballots are recalculated (the coalition points are not), until one candidate has a majority of poinrs, |
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{{Tenn voting example}} |
{{Tenn voting example}} |
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Since no candidate has more than half of the points, we rank the coalitions |
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* 600 {M,N,C,K} |
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* 348 {N,C,K} |
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* 252 {M,N,C} |
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* 210 {M,N} |
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* 160 {C,K} |
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* 130 {N,C} |
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* 126 {M} |
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* 78 {N} |
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* 51 {K} |
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* 45 {C} |
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Since the coalition with the most points that does not involve Knoxville, we re-rank the points |
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{| class="wikitable" style="border:none" |
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! {{diagonal split header|Candidate|Voters}} |
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!Memphis |
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!Nashville |
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!Knoxville |
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!Chattanooga |
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| rowspan="5" style="border: none; background: white;" | |
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!Score |
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|- |
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!Memphis |
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|42×3=126 |
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|0 |
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|0 |
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|0 |
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|126 |
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|- |
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!Nashville |
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|42×2 = 84 |
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|26×3 = 78 |
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|17×1 = 17 |
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|15×1 = 15 |
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|194 |
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|- |
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!Knoxville |
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|0 |
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|26×1 = 26 |
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|17×3 = 51 |
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|15×2 = 30 |
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|107 |
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|- |
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!Chattanooga |
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|42×1 = 42 |
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|26×2 = 52 |
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|17×2 = 34 |
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|15×3 = 45 |
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|173 |
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|} |
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'this article is still being created ' |
'this article is still being created ' |
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Revision as of 20:10, 8 April 2024
Descending Borda Coalitions is a electoral system similar to Descending Descending Solid Coalitions except it uses Borda counting and points totals. It was first described by Kelvin Voskuijl in 2024
Description
Every possible set of candidates is given a score equal to the Borda points of voters who are solidly committed to the candidates in that set. A voter is solidly committed to a set of candidates if he ranks every candidate in this set strictly above every candidate not in the set. At each counting step, all candidates who are not supported by the coalition are eliminated, and the ballots are recalculated (the coalition points are not), until one candidate has a majority of poinrs,
Imagine that Tennessee is having an election on the location of its capital. The population of Tennessee is concentrated around its four major cities, which are spread throughout the state. For this example, suppose that the entire electorate lives in these four cities, and that everyone wants to live as near the capital as possible.
The candidates for the capital are:
- Memphis, the state's largest city, with 42% of the voters, but located far from the other cities
- Nashville, with 26% of the voters, near the center of Tennessee
- Knoxville, with 17% of the voters
- Chattanooga, with 15% of the voters
The preferences of the voters would be divided like this:
| 42% of voters (close to Memphis) |
26% of voters (close to Nashville) |
15% of voters (close to Chattanooga) |
17% of voters (close to Knoxville) |
|---|---|---|---|
|
|
|
|
Since no candidate has more than half of the points, we rank the coalitions
- 600 {M,N,C,K}
- 348 {N,C,K}
- 252 {M,N,C}
- 210 {M,N}
- 160 {C,K}
- 130 {N,C}
- 126 {M}
- 78 {N}
- 51 {K}
- 45 {C}
Since the coalition with the most points that does not involve Knoxville, we re-rank the points
'this article is still being created '