mgf1107lecture10

mgf1107lecture10 - MGF 1107 EXPLORATIONS IN MATHEMATICS...

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MGF 1107 – EXPLORATIONS IN MATHEMATICS LECTURE 10 The Alabama and Other Paradoxes The reason that Hamilton’s method of apportionment was not used beyond 1900 in the U.S. is due to the Alabama paradox , and other similar problems that it caused. Ex. In 1882 various apportionment bills were debated in the House of Representatives. During the debate it was noted that if the House contained 299 representatives, then Alabama would get 8 seats. State Quota Apportionment Alabama Texas Illinois However if the number of representatives were to be increased to 300, then Texas and Illinois would both gain a seat, while Alabama would lose one and drop down to 7 seats. State Quota Apportionment Alabama Texas Illinois Unfortunately a similar thing happened to Maine in a 1901 debate, and Hamilton’s method has not been used since in the U.S.
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As reasonable as Hamilton’s method appears at first glance, it is susceptible to two other paradoxes that will be described below.
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mgf1107lecture10 - MGF 1107 EXPLORATIONS IN MATHEMATICS...

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