Editing Task:Define voting procedure for Community Council elections

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''b''<sub>''ij''(''k''+1)</sub>=''a<sub>ij</sub>'' / ( 1 + &sum;<sub>''p''&isin;(1&hellip;''k'')</sub> ''a<sub>iw<sub>p</sub></sub>'' )
''b''<sub>''ij''(''k''+1)</sub>=''a<sub>ij</sub>'' / ( 1 + &sum;<sub>''p''&isin;(1&hellip;''k'')</sub> ''a<sub>iw<sub>p</sub></sub>'' )
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== Proposal: Single Transferable Vote ==
 
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Notation:
 
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* N seats available
 
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* C candidates running
 
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* T total valid votes cast in the election
 
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* Q (the quota) = floor(T/(N+1) + 1)
 
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[http://en.wikipedia.org/wiki/Single_transferable_vote Single transferable vote] is the voting system used in Ireland's general elections, with multi-seat constituencies resembling a Maemo Community Council vote - there are N places and C candidates, with C > N. There is an added advantage of having [http://stv.sourceforge.net/ software available to count STV].
 
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The voting system is simple from the voter's point of view - you vote in order of preference for one or more of the candidates. If you only have a first preference, you vote only 1 for your choice. If you have a second preference, you give him number 2, and you continue like this down the ballot, as far as you care to go.
 
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Counting is also quite simple. We first count all the number 1 votes, and rank the candidates in order. If any candidates have more than T/(N+1) votes, they are deemed elected. Their surplus votes (the votes over the quota Q) are redistributed according to the weighings of their second preferences.
 
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If no-one has been deemed elected, or all surpluses have been distributed, the candidate with the least first preferences is eliminated, and his votes are redistributed according to the second preference.
 
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This process is repeated until N candidates are deemed elected, or until there are only 2 unelected candidates remaining. In this situation, the candidate with the highest number of votes is deemed elected without having reached the quota.
 
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A simple example will illustrate:
 
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4 candidates (A, B, C), 2 seats, 11 votes, the quota is thus 4 votes.
 
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# A, B
 
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# A, C
 
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# A
 
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# A, B, C
 
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# B, C
 
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# B, A
 
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# B, C
 
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# C
 
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# C, A
 
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# C
 
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# D, C
 
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1st count:
 
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* A: 4
 
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* B: 3
 
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* C: 3
 
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* D: 1
 
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A is deemed elected, and D is eliminated.
 
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D's 2nd preferences give 1 vote to C.
 
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2nd count:
 
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* A: 4
 
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* B: 3
 
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* C: 4
 
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A and C are deemed elected.
 
== Discussions ==
== Discussions ==
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[[Category:Community]]
[[Category:Community]]
[[Category:maemo.org]]
[[Category:maemo.org]]
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[[Category:Community Council]]
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[[Category:Council]]

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