The apportionment of representatives in Congress

  title={The apportionment of representatives in Congress},
  author={E. V. Huntington},
  journal={Transactions of the American Mathematical Society},
Fairness in Apportionment
We show that under suitable assumption on the number of states and the distribution of the population numbers of the states, bias of various methods of apportionment can be quantified. We alsoExpand
Apportionment Behind the Veil of Uncertainty
Apportionment of representatives is a basic rule of everyday politics. By definition, this basic rule is a constitutional stage problem and should be decided behind the veil of uncertainty. To bringExpand
The Census and the Second Law: An Entropic Approach to Optimal Apportionment for the U.S. House of Representatives
The Constitutionally mandated task of assigning Congressional seats to the various U.S. States proportional to their represented populations ("according to their numbers") has engendered muchExpand
Apportionment Behind the Veil of Ignorance
To bring apportionment closer to quotas or the apportionment quotient closer to the population quotient, instead of using “distance,” we introduce f-divergence for utilitarianism and BregmanExpand
Lagrange's Identity and Congressional Apportionment
  • T. Wright
  • Mathematics, Computer Science
  • Am. Math. Mon.
  • 2014
Lagrang’'s Identity is used to provide a bridge between an insightful motivation and an elementary derivation of the method of equal proportions, following each decennial census. Expand
Divisor Method Proportional Representation in Preference-Ballot Elections
This paper describes a preferenceballot voting procedure that satisfies proportionality conditions consistent with allocation rules for divisor-method party-list elections such as d’Hondt,Expand
Voting matters To advance the understanding of preferential voting systems
A recurring problem in Malta’s Single Transferable Vote (STV) is the mismatch between the percentage of first preference votes a party wins nationwide and the corresponding percentage of seats itExpand
From Cauchy–Schwarz to the House of Representatives: Applications of Lagrange’s Identity
Summary–The simple and elegant result known as Lagrange’s identity can be used to derive some well-known results in mathematics and statistics. We share four such results that have elementaryExpand
This dissertation presents a comprehensive and comparative progress in sequencing approaches of mixed-model just-in-time (JIT) sequencing problem together with discrete apportioment problem (DAP). ...