Anonymous user
Hamilton method: Difference between revisions
no edit summary
imported>DanKeshet (change cat.,) |
imported>DanBishop No edit summary |
||
Line 1:
The '''Hamilton method''' is a version of the [[largest remainder method]] for allocating seats [[proportional representation|proportionally]] for representative assemblies with [[Party-list proportional representation|party list]] [[voting system]]s. It uses the [[Hare quota]] as the initial quota.
==Example==
{{US_House_apportionment_example}}
The quota is 3 615 920 ÷ 60 = 60 265.333. Dividing the state populations by the quota gives
<table border>
<tr>
<th>State</th>
<th>Quotient</th>
<th>Remainder</th>
</tr>
<tr>
<td>Virginia</td>
<td align="right">10</td>
<td align="right">27 906.7</td>
</tr>
<tr>
<td>Massachusetts</td>
<td align="right">7</td>
<td align="right">53 469.7</td>
</tr>
<tr>
<td>Pennsylvania</td>
<td align="right">7</td>
<td align="right">11 021.7</td>
</tr>
<tr>
<td>North Carolina</td>
<td align="right">5</td>
<td align="right">52 196.3</td>
</tr>
<tr>
<td>New York</td>
<td align="right">5</td>
<td align="right">30 262.3</td>
</tr>
<tr>
<td>Maryland</td>
<td align="right">4</td>
<td align="right">37 452.7</td>
</tr>
<tr>
<td>Connecticut</td>
<td align="right">3</td>
<td align="right">56 045.0</td>
</tr>
<tr>
<td>South Carolina</td>
<td align="right">3</td>
<td align="right">25 440.0</td>
</tr>
<tr>
<td>New Jersey</td>
<td align="right">2</td>
<td align="right">59 039.3</td>
</tr>
<tr>
<td>New Hampshire</td>
<td align="right">2</td>
<td align="right">21 291.3</td>
</tr>
<tr>
<td>Vermont</td>
<td align="right">1</td>
<td align="right">25 267.7</td>
</tr>
<tr>
<td>Georgia</td>
<td align="right">1</td>
<td align="right">10 569.7</td>
</tr>
<tr>
<td>Kentucky</td>
<td align="right">1</td>
<td align="right">8 439.7</td>
</tr>
<tr>
<td>Rhode Island</td>
<td align="right">1</td>
<td align="right">8 180.7</td>
</tr>
<tr>
<td>Delaware</td>
<td align="right">0</td>
<td align="right">55 540.0</td>
</tr>
<tr>
<th>Total</th>
<th align="right">52</th>
</tr>
</table>
Each state receives a number of seats equal to the integer part of the quotient. The remaining 8 seats are given to the states with the largest remainders: New Jersey, Connecticut, Delaware, Massachusetts, North Carolina, Maryland, New York, and Virginia. The final apportionment is:
<table border>
<tr>
<th>State</th>
<th>Seats</th>
<th>District size</th>
<th>Rel. rep.</th>
</tr>
<tr>
<td>Virginia</td>
<td align="right">11</td>
<td align="right">57 324</td>
<td align="right">1.0513</td>
</tr>
<tr>
<td>Massachusetts</td>
<td align="right">8</td>
<td align="right">59 416</td>
<td align="right">1.0143</td>
</tr>
<tr>
<td>Pennsylvania</td>
<td align="right">7</td>
<td align="right">61 840</td>
<td align="right">0.9745</td>
</tr>
<tr>
<td>North Carolina</td>
<td align="right">6</td>
<td align="right">58 920</td>
<td align="right">1.0228</td>
</tr>
<tr>
<td>New York</td>
<td align="right">6</td>
<td align="right">55 265</td>
<td align="right">1.0905</td>
</tr>
<tr>
<td>Maryland</td>
<td align="right">5</td>
<td align="right">55 703</td>
<td align="right">1.0819</td>
</tr>
<tr>
<td>Connecticut</td>
<td align="right">4</td>
<td align="right">59 210</td>
<td align="right">1.0178</td>
</tr>
<tr>
<td>South Carolina</td>
<td align="right">3</td>
<td align="right">68 745</td>
<td align="right">0.8766</td>
</tr>
<tr>
<td>New Jersey</td>
<td align="right">3</td>
<td align="right">59 857</td>
<td align="right">1.0068</td>
</tr>
<tr>
<td>New Hampshire</td>
<td align="right">2</td>
<td align="right">70 911</td>
<td align="right">0.8499</td>
</tr>
<tr>
<td>Vermont</td>
<td align="right">1</td>
<td align="right">85 533</td>
<td align="right">0.7046</td>
</tr>
<tr>
<td>Georgia</td>
<td align="right">1</td>
<td align="right">70 835</td>
<td align="right">0.8562</td>
</tr>
<tr>
<td>Kentucky</td>
<td align="right">1</td>
<td align="right">68 705</td>
<td align="right">0.8772</td>
</tr>
<tr>
<td>Rhode Island</td>
<td align="right">1</td>
<td align="right">68 446</td>
<td align="right">0.8805</td>
</tr>
<tr>
<td>Delaware</td>
<td align="right">1</td>
<td align="right">55 540</td>
<td align="right">1.0851</td>
</tr>
<tr>
<th>Total</th>
<th align="right">60</th>
</tr>
</table>
==See also==
Line 5 ⟶ 203:
*[[Alabama paradox]]
[[Category:
{{fromwikipedia}}
| |||