# Outer Diversity of Structured Domains

arXiv: https://arxiv.org/abs/2602.15708 · HTML: https://mlsanity.com/paper/2602.15708/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- Builds on 7 of its 40 references that are in the map.
- First posted on arXiv 17 Feb 2026.

## Builds on (most cited first, 7 of 7)

- [Preference Restrictions in Computational Social Choice: A Survey](https://mlsanity.com/paper/2205.09092/) (2022)
- [Diversity, Agreement, and Polarization in Elections](https://mlsanity.com/paper/2305.09780/) (2023)
- [Guide to Numerical Experiments on Elections in Computational Social Choice](https://mlsanity.com/paper/2402.11765/) (2024)
- [Expected Frequency Matrices of Elections: Computation, Geometry, and Preference Learning](https://mlsanity.com/paper/2205.07831/) (2022)
- [Drawing a Map of Elections](https://mlsanity.com/paper/2504.03809/) (2025)
- [Distances Between Top-Truncated Elections of Different Sizes](https://mlsanity.com/paper/2601.17931/) (2026)
- [Condorcet Winners and Anscombes Paradox Under Weighted Binary Voting](https://mlsanity.com/paper/2502.14639/) (2025)

## Built on by (most cited first, 2 of 2)

- [Agreement, Diversity, and Polarization Indices for Approval Elections](https://mlsanity.com/paper/2605.14983/) (2026)
- [Outer Diversity of Condorcet Domains](https://mlsanity.com/paper/2610.00720/) (2026)

## Abstract (arXiv)

An ordinal preference domain is a subset of preference orders that the voters are allowed to cast in an election. We introduce and study the notion of outer diversity of a domain and evaluate its value for a number of well-known structured domains, such as the single-peaked, single-crossing, group-separable, and Euclidean ones.