The Apportionment of Representatives in Congress

Huntington, Edward V.

doi:10.2307/1989268

Cited by 16 publications

(21 citation statements)

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“…But they also satisfy a condition which epitomizes the very idea of "method": Huntington in his. 1928 paper [7], and was described in precisely this way on p. 709 of [3].…”

Section: Background: House-monotonicity and Quotamentioning

confidence: 94%

Apportionment Schemes and the Quota Method

Balinski¹,

Young²

1977

The American Mathematical Monthly

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“…But they also satisfy a condition which epitomizes the very idea of "method": Huntington in his. 1928 paper [7], and was described in precisely this way on p. 709 of [3].…”

Section: Background: House-monotonicity and Quotamentioning

confidence: 94%

Apportionment Schemes and the Quota Method

Balinski¹,

Young²

1977

The American Mathematical Monthly

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“…Formulations of the type D1 of divisor methods are the standard in USA, where Thomas Jefferson formulated a method of this type (with rounding downwards) in 1792 for apportionment; Jefferson's method was adopted by Congress in 1792 and used until 1832 [1]. Four other divisor methods (using formulation D1 with different d(n), see Table 1) have also been important in USA; Huntington's method is used since 1941 and Webster's method has been used earlier, while Adams's and Dean's methods have never been used but have frequently figured in discussions, see [15] and [1].…”

Section: Rational P Imentioning

confidence: 99%

Asymptotic bias of some election methods

Janson

2012

Ann Oper Res

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Abstract. Consider an election where N seats are distributed among parties with proportions p1, . . . , pm of the votes. We study, for the common divisor and quota methods, the asymptotic distribution, and in particular the mean, of the seat excess of a party, i.e. the difference between the number of seats given to the party and the (real) number N pi that yields exact proportionality. Our approach is to keep p1, . . . , pm fixed and let N → ∞, with N random in a suitable way.In particular, we give formulas showing the bias favouring large or small parties for the different election methods.

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“…Huntington (1928) was the first to introduce the concept of optimization in the approach to the ApP. Once an inequality measurement had been defined between two states, the aim was to find a locally optimal apportionment of seats, i.e., one in which no transfer of a seat from one state to another would improve the inequality measurement for the pair of states concerned.…”

Section: The Apportionment Of Seats In a Chamber Of Representativesmentioning

confidence: 99%

Solving the generalized apportionment problem through the optimization of discrepancy functions

Bautista

Companys

Corominas

2001

European Journal of Operational Research

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One of the ways to solve the classical apportionment problem (which has been studied chiefly in relation to the apportionment of seats in a chamber of representatives) is the optimization of a discrepancy function; although this approach seems very natural, it has been hardly used. In this paper, we propose a more general formalization of the problem and an optimization procedure for a broad class of discrepancy functions, study the properties of the procedure and present some examples in which it is applied.

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The Apportionment of Representatives in Congress

Cited by 16 publications

References 0 publications

Apportionment Schemes and the Quota Method

Apportionment Schemes and the Quota Method

Asymptotic bias of some election methods

Solving the generalized apportionment problem through the optimization of discrepancy functions

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