Ties in Multiwinner Approval Voting
Abstract
We study the complexity of deciding if there is a tie in a given approval-based multiwinner election, as well as the complexity of counting tied winning committees. We consider a family of Thiele rules, their greedy variants, Phragmen's sequential rule, and Method of Equal Shares. For most cases, our problems are computationally hard, but for sequential rules we find an FPT algorithm for discovering ties (parameterized by the committee size). We also show experimentally that in elections of moderate size ties are quite frequent.
Cite
Text
Janeczko and Faliszewski. "Ties in Multiwinner Approval Voting." International Joint Conference on Artificial Intelligence, 2023. doi:10.24963/IJCAI.2023/308Markdown
[Janeczko and Faliszewski. "Ties in Multiwinner Approval Voting." International Joint Conference on Artificial Intelligence, 2023.](https://mlanthology.org/ijcai/2023/janeczko2023ijcai-ties/) doi:10.24963/IJCAI.2023/308BibTeX
@inproceedings{janeczko2023ijcai-ties,
title = {{Ties in Multiwinner Approval Voting}},
author = {Janeczko, Lukasz and Faliszewski, Piotr},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {2023},
pages = {2765-2773},
doi = {10.24963/IJCAI.2023/308},
url = {https://mlanthology.org/ijcai/2023/janeczko2023ijcai-ties/}
}