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 Localized or local list systems of party-list proportional representation hold elections in small (local) electoral districts, while still maintaining proportional representation at the national level.
To ensure that each party receives a proportional share of seats relative to its share of the popular vote, the first step in ballot counting is to add up the votes going to each party either overall (at-large) or by multi-member constituencies.
They are also used in a Mixed-member proportional representation variant in the Landtag of Baden-Württemberg (the first-place candidate in each district is guaranteed a seat, and each constituency has more seats than it has districts to ensure proportionality) How this mechanism operates can best be understood with some numerical examples.
Seat allocation by party is determined using the Hare quota, largest remainder method.
In this case, the front-runner, Anne, loses her race in favour of the runner-up, but again this is in principle not a problem, because Mary represents the Blue Party for the constituency as a whole and was the strongest of the Blue Party candidates.