Apportionment methods
نویسندگان
چکیده
منابع مشابه
Error Minimization Methods in Biproportional Apportionment
One of the most active research lines in the area of electoral systems to date deals with the Biproportional Apportionment Problem, which arises in those proportional systems where seats must be allocated to parties within territorial constituencies. A matrix of the vote counts of the parties within the constituencies is given, and one has to convert the vote matrix into an integer matrix of se...
متن کاملMultiwinner Approval Rules as Apportionment Methods
We establish a link between multiwinner elections and apportionment problems by showing how approval-based multiwinner election rules can be interpreted as methods of apportionment. We consider several multiwinner rules and observe that they induce apportionment methods that are well-established in the literature on proportional representation. For instance, we show that Proportional Approval V...
متن کاملA majorization comparison of apportionment methods in proportional representation
From the inception of the proportional representation movement it has been an issue whether larger parties are favored at the expense of smaller parties in one apportionment of seats as compared to another apportionment. A number of methods have been proposed and are used in countries with a proportional representation system. These apportionment methods exhibit a regularity of order, as discus...
متن کاملSeat biases of apportionment methods for proportional representation
In proportional representation systems, an important issue is whether a given apportionment method favors larger parties at the expense of smaller parties. For an arbitrary number of parties, ordered from largest to smallest by their vote counts, we calculate (apparently for the first time) the expected differences between the seat allocation and the ideal share of seats, separately for each pa...
متن کاملQuota methods for congressional apportionment are still non-unique.
Balinski and Young described a "quota method" for congressional apportionment and recommended it as "the only method satisfying three essential axioms" [Balinski, M. L. & Young, H. P. (1974) Proc. Natl. Acad. Sci. USA 71, 4602-4606]. This paper points out and repairs a slight defect in one of those axioms, producing a quota method slightly different from that described previously. It also prese...
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ژورنال
عنوان ژورنال: Mathematical Social Sciences
سال: 2008
ISSN: 0165-4896
DOI: 10.1016/j.mathsocsci.2008.03.003