# Apportionment Using the Hamilton Method

**Topics:**Apportionment paradox, Decision theory, State

**Pages:**2 (413 words)

**Published:**December 19, 2012

Dawn Ambrose

Argosy University- On-line

MAT109 A01

Instructor: Marcus Vandiver

Apportionment Using the Hamilton Method

Using the Hamilton method of apportionment, determine the number of seats each state should receive.

Using the numbers you just calculated from applying the Hamilton method, determine the average constituency for each state. Explain your decision making process for allocating the remaining seats. As can be seen in the chart above, the additional seats were given to the states with the higher fractional parts (states # 1, 2, 3, 8 and 10). Explain how changes in state boundaries or populations could affect the balance of representation in this congress. Provide an example using the results above. The changes in state boundaries could affect the balance of representation in congress because if the population was to increase, the number of seats for the state would decrease and vice versa, if the population declined, the state could gain a seat or remain the same. How and why could an Alabama Paradox occur?

The Alabama Paradox means that if the total number of items to be apportioned increases, the group or state may loss an item. Explain how applying the Huntington-Hill apportionment method helps to avoid an Alabama Paradox. The Huntington- Hill apportionment method was an equal proportions method. It had a fixed house to avoid conflict and by using a fixed house number, the Huntington- Hill method helped to avoid an Alabama Paradox. Based upon your experience in solving this problem, do you feel apportionment is the best way to achieve fair representation? Be sure to support your answer. Yes, I believe apportionment is the best way to achieve fair representation because Huntington- Hill’s method seems to be working. I agree with a set number in the house because the population is forever changing. Just because a state has fewer people, does not mean they should not have the same or close to...

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