Maintaining Proportional Committees with Dynamic Candidate Sets

Chris Dong, Jannik Peters
Proceedings of the 42nd International Conference on Machine Learning, PMLR 267:14152-14168, 2025.

Abstract

Multiwinner voting is the study of electing a fixed-size committee given individual agents’ preferences over candidates. Most research in this field has been limited to a static setting, with only one election over a fixed set of candidates. However, this approach overlooks the dynamic nature of applications, where candidate sets are subject to change. We extend the study of proportionality in multiwinner voting to dynamic settings, allowing candidates to join or leave the election and demanding that each chosen committee satisfies proportionality without differing too much from the previously selected committee. We consider approval preferences, ranked preferences, and the proportional clustering setting. In these settings, we either give algorithms making few changes or show that such algorithms cannot exist for various proportionality axioms. In particular, we show that such algorithms cannot exist for ranked preferences and provide amortized and exact algorithms for several proportionality notions in the other two settings.

Cite this Paper

BibTeX
@InProceedings{pmlr-v267-dong25j, title = {Maintaining Proportional Committees with Dynamic Candidate Sets}, author = {Dong, Chris and Peters, Jannik}, booktitle = {Proceedings of the 42nd International Conference on Machine Learning}, pages = {14152--14168}, year = {2025}, editor = {Singh, Aarti and Fazel, Maryam and Hsu, Daniel and Lacoste-Julien, Simon and Berkenkamp, Felix and Maharaj, Tegan and Wagstaff, Kiri and Zhu, Jerry}, volume = {267}, series = {Proceedings of Machine Learning Research}, month = {13--19 Jul}, publisher = {PMLR}, pdf = {https://raw.githubusercontent.com/mlresearch/v267/main/assets/dong25j/dong25j.pdf}, url = {https://proceedings.mlr.press/v267/dong25j.html}, abstract = {Multiwinner voting is the study of electing a fixed-size committee given individual agents’ preferences over candidates. Most research in this field has been limited to a static setting, with only one election over a fixed set of candidates. However, this approach overlooks the dynamic nature of applications, where candidate sets are subject to change. We extend the study of proportionality in multiwinner voting to dynamic settings, allowing candidates to join or leave the election and demanding that each chosen committee satisfies proportionality without differing too much from the previously selected committee. We consider approval preferences, ranked preferences, and the proportional clustering setting. In these settings, we either give algorithms making few changes or show that such algorithms cannot exist for various proportionality axioms. In particular, we show that such algorithms cannot exist for ranked preferences and provide amortized and exact algorithms for several proportionality notions in the other two settings.} }
Endnote
%0 Conference Paper %T Maintaining Proportional Committees with Dynamic Candidate Sets %A Chris Dong %A Jannik Peters %B Proceedings of the 42nd International Conference on Machine Learning %C Proceedings of Machine Learning Research %D 2025 %E Aarti Singh %E Maryam Fazel %E Daniel Hsu %E Simon Lacoste-Julien %E Felix Berkenkamp %E Tegan Maharaj %E Kiri Wagstaff %E Jerry Zhu %F pmlr-v267-dong25j %I PMLR %P 14152--14168 %U https://proceedings.mlr.press/v267/dong25j.html %V 267 %X Multiwinner voting is the study of electing a fixed-size committee given individual agents’ preferences over candidates. Most research in this field has been limited to a static setting, with only one election over a fixed set of candidates. However, this approach overlooks the dynamic nature of applications, where candidate sets are subject to change. We extend the study of proportionality in multiwinner voting to dynamic settings, allowing candidates to join or leave the election and demanding that each chosen committee satisfies proportionality without differing too much from the previously selected committee. We consider approval preferences, ranked preferences, and the proportional clustering setting. In these settings, we either give algorithms making few changes or show that such algorithms cannot exist for various proportionality axioms. In particular, we show that such algorithms cannot exist for ranked preferences and provide amortized and exact algorithms for several proportionality notions in the other two settings.
APA
Dong, C. & Peters, J.. (2025). Maintaining Proportional Committees with Dynamic Candidate Sets. Proceedings of the 42nd International Conference on Machine Learning, in Proceedings of Machine Learning Research 267:14152-14168 Available from https://proceedings.mlr.press/v267/dong25j.html.

Related Material