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arXiv · 2401.11870

An Experimental Comparison of Multiwinner Voting Rules on Approval Elections

Piotr Faliszewski·Martin Lackner·Krzysztof Sornat·Stanisław Szufa
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Abstract

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.

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Piotr Faliszewski, Martin Lackner, Krzysztof Sornat, Stanisław Szufa. 2024-01-22. An Experimental Comparison of Multiwinner Voting Rules on Approval Elections. https://arxiv.org/abs/2401.11870

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