KOCIOŁEK I CHOCHELKA: FORMUŁA SZACOWANIA ROZKŁADU MANDATÓW METODĄ JEFFERSONA-D’HONDTA

We propose a simple yet new formula for estimating national seat shares and quantifying seat biases in elections employing the Jefferson-D’Hondt (JDH) method for seat allocation. It is based solely on the national vote shares and fixed parameters of the given electoral system. The proposed formula c...

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Bibliographic Details
Published in:Decyzje 2019 (32), p.5-40
Main Authors: Flis, Jarosław, Słomczyński, Wojciech, Stolicki, Dariusz
Format: Article
Language:Polish
Subjects:
Electoral systems
Methodology and research technology
Online Access:Get full text
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Summary:We propose a simple yet new formula for estimating national seat shares and quantifying seat biases in elections employing the Jefferson-D’Hondt (JDH) method for seat allocation. It is based solely on the national vote shares and fixed parameters of the given electoral system. The proposed formula clarifies the relationship between seat bias on the one hand, and the number of parties and the number of districts on the other. We demonstrate that the formula provides a good estimate of seat allocations in real-life elections even in the case of minor violations of the underlying assumptions. With that aim in mind, we have tested it for all nine EU countries that employ the JDH method in parliamentary elections. Moreover, we discuss the applications of the formula for modeling the effects of vote swings, coalition formation and breakup, spoiler effects, electoral engineering, artificial thresholds and political gerrymandering. By not requiring district-level vote shares, our formula simplifies electoral simulations using the JDH method.
ISSN:1733-0092
DOI:10.7206/DEC.1733-0092.129