Multiwinner Approval Rules as Apportionment Methods
Abstract
We establish a link between multiwinner elections and apportionment problems by showing how approval-based multiwinner election rules can be interpreted as methods of apportionment. We consider several multi-winner rules and observe that some, but not all, of them induce apportionment methods that are well established in the literature and in the actual practice of proportional representation. For instance, we show that Proportional Approval Voting induces the D'Hondt method and that Monroe's rule induces the largest remainder method. We also consider properties of apportionment methods and exhibit multiwinner rules that induce apportionment methods satisfying these properties.
Cite
Text
Brill et al. "Multiwinner Approval Rules as Apportionment Methods." AAAI Conference on Artificial Intelligence, 2017. doi:10.1609/AAAI.V31I1.10600Markdown
[Brill et al. "Multiwinner Approval Rules as Apportionment Methods." AAAI Conference on Artificial Intelligence, 2017.](https://mlanthology.org/aaai/2017/brill2017aaai-multiwinner/) doi:10.1609/AAAI.V31I1.10600BibTeX
@inproceedings{brill2017aaai-multiwinner,
title = {{Multiwinner Approval Rules as Apportionment Methods}},
author = {Brill, Markus and Laslier, Jean-François and Skowron, Piotr},
booktitle = {AAAI Conference on Artificial Intelligence},
year = {2017},
pages = {414-420},
doi = {10.1609/AAAI.V31I1.10600},
url = {https://mlanthology.org/aaai/2017/brill2017aaai-multiwinner/}
}