User:KelvinVoskuijl/Descending Baldwin Coalitions: Difference between revisions

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== Description ==
== 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,
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 can be recalculated or not), until one candidate remains,


{{Tenn voting example}}
{{Tenn voting example}}
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Since there still is no majority for one choice, we now look to the coalition that has the next most points and would eliminate candates, which is 210 {M,N}. This leaves Nashville as only candaidate, so Nashville wins.
Since there still is no majority for one choice, we now look to the coalition that has the next most points and would eliminate candates, which is 210 {M,N}. This leaves Nashville as only candaidate, so Nashville wins.

=== With reranked coalitions ===
If we use reranked coaltions,

then we get to the folllowing coalitions points
*317 {N,C,K}
* 126 {M,N,C}
* 84 {M,N}
* 113 {C,K}
* 78 {N,C}
* 0 {M}
* 52 {N}
* 51 {K}
* 30 {C}

Chattanooga would win with option two, but if we only allow coaltions with remaining participants, ( so we add Memphis votes to the N coalition,) Nashville would win


'this article is still being created '
'this article is still being created '
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