D'Hondt method: Difference between revisions

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== Extensions of theory ==
 
<br />One of the only ranked PR methods that reduces to D'Hondt in its [[party list case]] is [[Schulze STV]]. Several [[cardinal PR]] methods reduce to D'Hondt if certain divisors are used. Some of which are:
 
* [[Sequential proportional approval voting]]
* [[Single distributed vote]]
* [[Reweighted Range Voting]]
 
== Notes ==
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One easy way to do D'Hondt in certain simple examples is to compare all parties except the party with the fewest votes (the last-place party) with the last-place party; if all other parties can split more votes per seat than the last-place party has for even one seat such that all other parties would be able to win a combined number of seats equal to or greater than the number of seats to be filled, then the last-place party can be eliminated, and this procedure repeated, to find a minimum number of seats each party must win in D'Hondt. Example: Suppose there are 8 seats to be filled, and 4 parties, A through D, with the votes being (in descending order) A: 10, B: 8, C: 3, and D: 2. Start by dividing every party's votes by just over the last-place party's (D's) vote total (just over 2). Each party can put more than 2 votes per seat for this number of seats: A: 4 (10/2 = 5, which moved down to the next-closest integer is 4), B: 3 (8/2 = 4, shifted down = 3), and C: 1 (3/2 = 1.5 shifted down = 1). In total, these parties have 4 + 3 + 1 seats; this is the number of seats desired, therefore, this is the final result.
 
<br />
<br />One of the only ranked PR methods that reduces to D'Hondt in its [[party list case]] is [[Schulze STV]]. Several [[cardinal PR]] methods reduce to D'Hondt if certain divisors are used.
 
[[Category:Party list theory]]
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