Introduces JUQ axiom for avoiding overrepresentation and shows Adams-AV is the unique composite Thiele rule satisfying it, plus a polynomial-time rule and justified near quota balancing under- and over-representation.
Phragm\'en's and Thiele's election methods
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
The election methods introduced in 1894--1895 by Phragm\'en and Thiele, and their somewhat later versions for ordered (ranked) ballots, are discussed in detail. The paper includes definitions and examples and discussion of whether the methods satisfy some properties, including monotonicity, consistency and various proportionality criteria. The relation with STV is also discussed. The paper also contains historical information on the methods.
fields
cs.GT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Beyond Lower Quota: Avoiding Overrepresentation in Multi-Winner Voting
Introduces JUQ axiom for avoiding overrepresentation and shows Adams-AV is the unique composite Thiele rule satisfying it, plus a polynomial-time rule and justified near quota balancing under- and over-representation.