Alabama paradox: Difference between revisions

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{{Wikipedia|Apportionment paradox#Alabama paradox}}
The Alabama paradox refers to the pathologicial scenario of the [[Hamilton method]] in which an increase in the total number of seats in the legislature would cause an electoral district or political party to lose a seat.
 
{{merge|House monotonicity criterion}}
 
The '''Alabama paradoxParadox''' refers to the pathologicialpathological scenario of the [[Hamilton method]] in which an increase in the total number of seats in the legislature would cause an electoral district or political party to lose a seat. It is an example of [[House monotonicity criterion|House monotonicity]] failure and can be understood through the [[Balinski–Young theorem]].
 
For example:
{| class="wikitable"
{|
|-
! Party !! Votes
Line 16 ⟶ 20:
 
With 323 seats, the Hamilton method gives:
{| class="wikitable"
{|
|-
! Party !! Quotas !! Seats
Line 30 ⟶ 34:
 
But with 324 seats:
{| class="wikitable"
{|
|-
! Party !! Quotas !! Seats
Line 44 ⟶ 48:
 
The Alabama Paradox is named after the 1880 observation by U.S. census clerk C.W. Seaton that the state of Alabama would lose one of its 8 seats in the House of Representatives if the size of the House were increased from 299 to 300.
[[Category:Election scenarios]]
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