quorum_any() and quorum_all() are used for the quorum parameter in
biproporz() or pukelsheim() and help describe how quorums should be
applied previous to seat distributions.
quorum_all(any_district, total)
quorum_any(any_district, total)Vote threshold a party must reach in at least one
district. Used as share of total votes within a district if less than 1
otherwise as number of votes. Must be greater than 0. Uses
reached_quorum_any_district().
Vote threshold a party must reach for all votes cast. Used as
share of total votes if less than 1, otherwise as number of votes. Must be
greater than 0. Uses reached_quorum_total().
a function which, when called with function(votes_matrix), returns
a boolean vector with length equal to the number of lists/parties
(votes_matrix rows). The vector shows whether a party has reached any/all
quorums.
There's a difference in how the functions work. With quroum_any,
at least one quorum must be reached. With quorum_all all
(i.e. both) quorums must be reached. If you only use one parameter,
quorum_any() and quorum_all() are identical.
votes_matrix = matrix(c(502, 55, 80, 10, 104, 55, 0, 1), ncol = 2)
dimnames(votes_matrix) <- list(c("A", "B", "C", "D"), c("Z1", "Z2"))
seats = c(Z1 = 50, Z2 = 20)
# use as parameter in biproporz or pukelsheim (general use case)
biproporz(votes_matrix, seats, quorum = quorum_any(any_district = 0.1, total = 100))
#> Z1 Z2
#> A 40 12
#> B 5 8
#> C 5 0
#> D 0 0
biproporz(votes_matrix, seats, quorum = quorum_all(any_district = 0.1, total = 100))
#> Z1 Z2
#> A 44 12
#> B 6 8
#> C 0 0
#> D 0 0
biproporz(votes_matrix, seats, quorum = quorum_any(any_district = 0.1))
#> Z1 Z2
#> A 40 12
#> B 5 8
#> C 5 0
#> D 0 0
biproporz(votes_matrix, seats, quorum = quorum_any(total = 100))
#> Z1 Z2
#> A 44 12
#> B 6 8
#> C 0 0
#> D 0 0
biproporz(votes_matrix, seats, quorum = quorum_any(total = 0.5))
#> Z1 Z2
#> A 50 20
#> B 0 0
#> C 0 0
#> D 0 0
# the quorum parameter also accepts vectors (e.g. calculated elsewhere)
biproporz(votes_matrix, seats, quorum = c(FALSE, TRUE, TRUE, TRUE))
#> Z1 Z2
#> A 0 0
#> B 27 20
#> C 20 0
#> D 3 0