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Phragm\'en's and Thiele's election methods
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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.
Forward citations
Cited by 3 Pith papers
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On the Tractability Landscape of the Conditional Minisum Approval Voting Rule
Winner determination under Conditional Minisum Approval is hard to speed up beyond brute force under SETH/ETH, but becomes polynomial for group-dichotomous ballots or bounded per-voter vertex cover with a constant num...
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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.
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Full Proportional Justified Representation
A new axiom, Full Proportional Justified Representation, fills the fourth cell in the justified-representation taxonomy; priceable rules and Monroe's rule satisfy it, while PAV does not.
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