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Hamilton Apportionment Method Essay

1061 words - 5 pages

I. The Hamilton Apportionment Method
The Hamilton Apportion Method (also “Hamilton/Vinton Method”, US Census Bureau, 2014) sets the divisor as the proportion of the total population per house seat. After the population for each of the 10 states has been divided by the divisor (5,321.9), the whole number of the quotient is kept and the decimal dropped. This will result in a discrepancy: less than 100 house seats. The first surplus seat is assigned to the state with the largest fraction after the original division. The next is assigned to the state with the second-largest fraction and so on. The process continues until all missing house seats are allocated.

Table 1: First Allocation ...view middle of the document...

A. N.A.
6 85,663 16 5,354 32
7 43,427 8 5,428 106
8 84,311 16 5,269 (52)
9 54,730 10 5,473 151
10 25,467 5 5,093 (228)
TOTAL 532,188 100 5,322 0

"Absolute unfairness" vs. average constituency

Table 3: Absolute Unfairness, One State vs. Another
Absolute Unfairness
State 1 2 3 4 5 6 7 8 9 10
5,158 5,092 5,198 5,522 5,354 5,428 5,269 5,473 5,093
1 5,158 66 40 364 196 270 111 315 (65)
2 5,092 (66) (106) (430) (262) (336) (177) (381) (1)
3 5,198 40 106 (324) (156) (231) (72) (275) 104
4 5,522 364 430 324 168 93 252 49 428
6 5,354 196 262 156 (168) (74) 85 (119) 261
7 5,428 270 336 231 (93) 74 159 (45) 335
8 5,269 111 177 72 (252) (85) (159) (204) 176
9 5,473 315 381 275 (49) 119 45 204 380
10 5,093 (65) 1 (104) (428) (261) (335) (176) (380)

Table 4: Relative Unfairness
Relative Unfairness
State 1 2 3 4 5 6 7 8 9 10
5,158 5,092 5,198 5,522 5,354 5,428 5,269 5,473 5,093
1 5,158 0.01 0.01 0.07 0.04 0.05 0.02 0.06 (0.01)
2 5,092 (0.02) (0.08) (0.05) (0.06) (0.03) (0.07) (0.00)
3 5,198 (0.06) (0.03) (0.04) (0.01) (0.05) 0.02
4 5,522 0.03 0.02 0.05 0.01 0.08
5 0.00 0.00 0.00 0.00 0.00
6 5,354 (0.01) 0.02 (0.02) 0.05
7 5,428 0.03 (0.01) 0.07
8 5,269 (0.04) 0.03
9 5,473 0.07
10 5,093

Since state boundaries are fixed in the domestic context, we warrant that states #2 and #4 represent the most populous constituencies in Michigan (hypothetically, 5,092 constituents) and Florida (5,522 constituents), respectively. If the downfall of the Big 3 car manufacturers had caused...

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