Alabama paradox

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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.

For example:

Party Votes
A 56.7%
B 38.5%
C 4.2%
D 0.6%

With 323 seats, the Hamilton method gives:

Party Quotas Seats
A 183.141 183
B 124.355 124
C 13.566 14
D 1.938 2

But with 324 seats:

Party Quotas Seats
A 183.708 184
B 124.740 125
C 13.608 13
D 1.944 2

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.