An Experimental Comparison of Multiwinner Voting Rules on Approval Elections

Fuente: arXiv
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Main Authors: Faliszewski, Piotr, Lackner, Martin, Sornat, Krzysztof, Szufa, Stanisław
Format: Preprint
Published: 2024
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author Faliszewski, Piotr
Lackner, Martin
Sornat, Krzysztof
Szufa, Stanisław
author_facet Faliszewski, Piotr
Lackner, Martin
Sornat, Krzysztof
Szufa, Stanisław
contents In this paper, we experimentally compare major approval-based multiwinner voting rules. To this end, we define a measure of similarity between two equal-sized committees subject to a given election. Using synthetic elections coming from several distributions, we analyze how similar are the committees provided by prominent voting rules. Our results can be visualized as ``maps of voting rules'', which provide a counterpoint to a purely axiomatic classification of voting rules. The strength of our proposed method is its independence from preimposed classifications (such as the satisfaction of concrete axioms), and that it indeed offers a much finer distinction than the current state of axiomatic analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2401_11870
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An Experimental Comparison of Multiwinner Voting Rules on Approval Elections
Faliszewski, Piotr
Lackner, Martin
Sornat, Krzysztof
Szufa, Stanisław
Computer Science and Game Theory
In this paper, we experimentally compare major approval-based multiwinner voting rules. To this end, we define a measure of similarity between two equal-sized committees subject to a given election. Using synthetic elections coming from several distributions, we analyze how similar are the committees provided by prominent voting rules. Our results can be visualized as ``maps of voting rules'', which provide a counterpoint to a purely axiomatic classification of voting rules. The strength of our proposed method is its independence from preimposed classifications (such as the satisfaction of concrete axioms), and that it indeed offers a much finer distinction than the current state of axiomatic analysis.
title An Experimental Comparison of Multiwinner Voting Rules on Approval Elections
topic Computer Science and Game Theory
url https://arxiv.org/abs/2401.11870