PreprintarXiv licencearXiv
A Geometric View of Some Apportionment Paradoxes, Revisited
Abstract
The Alabama paradox occurs when increasing the total number of seats in a legislature causes a state to lose a seat. We revisit a geometric analysis of this paradox published by Brent Bradberry in 1992, correct an erroneous probability formula, investigate the source of the error, and explore further consequences of the geometry.
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BibTeX
@misc{mccune2026geometric,
title = {{A Geometric View of Some Apportionment Paradoxes, Revisited}},
author = {David McCune},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40682},
eprint = {2610.40682},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40682},
}
RIS
TY - UNPB
TI - A Geometric View of Some Apportionment Paradoxes, Revisited
AU - David McCune
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.40682
UR - https://arxiv.org/abs/2610.40682
AB - The Alabama paradox occurs when increasing the total number of seats in a legislature causes a state to lose a seat. We revisit a geometric analysis of this paradox published by Brent Bradberry in 1992, correct an erroneous probability formula, investigate the source of the error, and explore further consequences of the geometry.
ER -