National remnant

Condorcet methods Positional voting Cardinal voting Quota-remainder methods Approval-based committees Fractional social choice Semi-proportional representation By ballot type Pathological response Strategic voting Paradoxes of majority rule Positive results National remnant (Turkish: Ulusal artık or milli bakiye) is an apportionment scheme used in some party-list proportional representation systems that have multi-member electoral districts.

The system uses a Largest remainder method to determine some of the seats in each electoral district.

Seats that aren't allocated at the local level are fed into regional constituencies (corresponding to the states), where the process is repeated.

The system was used in Czechoslovakia after the Velvet revolution, to elect the Federal Assembly.

During the Weimar Republic, a three-tiered variant of the national remnant system was used for elections to the Reichstag.

The election scored a low 2.32 on the Gallagher index, indicating a high level of proportionality.

In each electoral district, the total number of votes is divided by a largest remainder quota, such as Hare, Droop, or Imperiali.

The number of votes cast for each party is divided by the quota; like in an unmodified largest remainder system, the result for each party will usually consist of an integer part plus a fractional remainder.