seats_largest_remainders: Allocating Seats - Largest Remainders

In albuja/electoral: Allocating Seats Methods and Party System Scores

Allocating Seats - Largest Remainders

Description

Largest remainders methods require the numbers of votes for each party to be divided by a quota representing the number of votes required for a seat (i.e. usually the total number of votes cast divided by the number of seats, or some similar formula). The result for each party will usually consist of an integer part plus a fractional remainder. Each party is first allocated a number of seats equal to their integer. This will generally leave some seats unallocated: the parties are then ranked on the basis of the fractional remainders, and the parties with the largest remainders are each allocated one additional seat until all the seats have been allocated. This gives the method its name. The quota formula for each largest remainder method is:

Hare: (sum(votes))/n_seats

Droop: (sum(votes))/(n_seats + 1) + 1

Hangenbach Bischoff: (sum(votes))/(n_seats + 1)

Imperial: (sum(votes))/(n_seats + 2)

Modified Imperial: (sum(votes))/(n_seats + 3)

Quotas & remainders:

1. threshold: select all parties that meet votes_i >= (sum(votes))/(2*n_seats)

2. quota: (sum(votes))/n_seats (only over selected parties)

In case of ties, the implemented algorithm not allocate the involved seats, and prints how many seats had been allocated and how many are in tie.

More information: https://en.wikipedia.org/wiki/Largest_remainder_method

Developed by Jorge Albuja Delgado ([e-mail]).

Usage

seats_lr(parties, votes, n_seats, method)

Arguments

parties	vector of names of parties, must be uniques
votes	vector of votes, same length as parties.
n_seats	number of seats to be allocated (integer equal or greater 1).
method	string according seat allocating method: "hare", "droop", "hangenbach-bischoff", "imperial", "mod-imperial" or "quotas-remainders".

Value

A vector of the number seats allocated for each party.

Examples

seats_lr(parties = c("A", "B", "C"),
       votes = c(100, 150, 60),
       n_seats = 5,
       method = "hare")

seats_lr(parties = c("V", "W", "X", "Y", "Z"),
      votes = c(100, 150, 60, 80, 160),
      n_seats = 15,
      method = "droop")

albuja/electoral documentation built on Feb. 7, 2023, 5:12 a.m.