An Underrated 1911 Relic Can Modify Divisor Methods to Prevent Quota Violation in Proportional Representation and U.S. House Apportionment
Bibliographic Data
| ID | 7367619 |
|---|---|
| Authors | Richard F Potthoff, Richard Potthoff (0000-0002-7241-3459, corresponding author) |
| Year | 2014 |
| Volume | 50 |
| Issue | 2 |
| Pages | 193-215 |
| Publication date | 2014-04-03 |
| Open Access | No |
| Type | ARTICLE |
| Venue | Representation (JOURNAL) |
| Journal identifiers | ISSN: 0034-4893 • E-ISSN: 1749-4001 |
| Publisher | Taylor & Francis (PUBLISHER • GB) |
| DOI | 10.1080/00344893.2014.911772 |
| OpenAlex | W2105247361 |
| Language | EN |
| Citations received | 1 |
| References cited | 11 |
Allocating seats to parties and apportioning seats to geographic areas are equivalent processes mathematically. The Hamilton method, or method of largest remainders, provides one approach. The five ‘divisor’ methods—Adams, Dean, Hill-Huntington, Webster (Sainte-Laguë) and Jefferson (d'Hondt)—provide another. Either is imperfect: the former observes quota but allows paradoxes, whereas the latter allows quota violation but avoids paradoxes. A fresh approach introduced herein had its genesis in 1911. Illustrations use Macedonian and Portuguese proportional-representation elections and US House apportionment scenarios
Apportionment · Combinatorics · Divisor (algebraic geometry · House of Representatives · Imperfect · Legislature · Linguistics · Mathematical economics · Operations research · Political science · Portuguese · Proportional representation · Representation (politics · Electoral Systems and Political Participation · Game Theory and Voting Systems · Law · Mathematics · Philosophy
| Citations per year | 0.14 |
|---|---|
| Citation span | 2019 - 2019 (1) |
| Highly cited | No |