ABSTRACT
The federal legislature will accord these three states, all together, 10 seats in the House of Representatives. How should these seats in the House be apportioned between the three states? Use the methods of Hamilton, Lowndes, Jefferson, Adams, Webster, Dean, Hill, and Balinski-Young. What divisors are used? What modified quotas do these divisors yield?
The criteria we have articulated for measuring the reasonableness of apportionment methods do not help us to distinguish among the divisor methods. Any divisor method satisfies house monotonicity and population monotonicity. According to the theorem of Balinski and Young, therefore, no divisor method can satisfy the quota rule. This raises the question of whether there is any appropriate way to choose among them.
