Surface volumes of rounding polytopes

DOI10.1016/j.laa.2003.09.005zbMath1059.60014OpenAlexW2016668641WikidataQ57566481 ScholiaQ57566481MaRDI QIDQ1826716

Mathias Drton, Udo Schwingenschlögl

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.09.005

zbMATH Keywords

Apportionment methodProbability simplexProportional representationRounding methodRounding ruleSeat allocationSeat bias

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Roundoff error (65G50) History, political science (91F10) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (7)

Seat biases in proportional representation systems with thresholds ⋮ Seat excess variances of apportionment methods for proportional representation ⋮ Distortion of the voter's will due to seat distribution at proportional representation ⋮ Probabilities of majority and minority violation in proportional representation ⋮ Seat biases of apportionment methods under general distributional assumptions ⋮ The impact of indifferent voters on the likelihood of some voting paradoxes ⋮ Asymptotic equivalence of seat bias models

Cites Work

• Rounding with multiplier methods: An efficient algorithm and applications in statistics
• Efficient rounding of sampling allocations
• A majorization comparison of apportionment methods in proportional representation
• Characterization of the extreme points of a class of special polyhedra
• Rounding Proportions:Rules of Rounding
• The discrepancy distribution of stationary multiplier rules for rounding probabilities
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