# The Proportional Veto Principle for Approval Ballots

arXiv: https://arxiv.org/abs/2505.01395 · HTML: https://mlsanity.com/paper/2505.01395/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 2 May 2025.

## Built on by (most cited first, 1 of 1)

- [Finding Common Ground in a Sea of Alternatives](https://mlsanity.com/paper/2603.16751/) (2026)

## Abstract (arXiv)

The proportional veto principle, which captures the idea that a candidate vetoed by a large group of voters should not be chosen, has been studied for ranked ballots in single-winner voting. We introduce a version of this principle for approval ballots, which we call flexible-voter representation (FVR). We show that while the approval voting rule and other natural scoring rules provide the optimal FVR guarantee only for some flexibility threshold, there exists a scoring rule that is FVR-optimal for all thresholds simultaneously. We also extend our results to multi-winner voting.