Multiwinner Approval Rules as Apportionment Methods
Computer Science and Game Theory
2021-04-21 v2 Artificial Intelligence
Multiagent Systems
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 multiwinner rules and observe that they induce apportionment methods that are well-established in the literature on proportional representation. For instance, we show that Proportional Approval Voting induces the D'Hondt method and that Monroe's rule induces the largest reminder method. We also consider properties of apportionment methods and exhibit multiwinner rules that induce apportionment methods satisfying these properties.
Cite
@article{arxiv.1611.08691,
title = {Multiwinner Approval Rules as Apportionment Methods},
author = {Markus Brill and Jean-François Laslier and Piotr Skowron},
journal= {arXiv preprint arXiv:1611.08691},
year = {2021}
}