Approval-based apportionment
نویسندگان
چکیده
Abstract In the apportionment problem, a fixed number of seats must be distributed among parties in proportion to voters supporting each party. We study generalization this setting, which can support multiple by casting approval ballots. This approval-based setting generalizes traditional and is natural restriction multiwinner elections, where ballots range over individual candidates instead parties. Using techniques from both we identify rules that generalize D’Hondt method satisfy strong axioms are generalizations properties commonly studied literature. fact, discuss provide representation guarantees currently out reach general elections: First, show core-stable committees guaranteed exist found polynomial time. Second, demonstrate extended justified compatible with committee monotonicity (also known as house monotonicity).
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2022
ISSN: ['0025-5610', '1436-4646']
DOI: https://doi.org/10.1007/s10107-022-01852-1