Outer Diversity of Structured Domains
arXiv:2602.15708v11 citationsh-index: 45
Originality Synthesis-oriented
AI Analysis
This work addresses a theoretical problem in social choice theory for researchers studying election mechanisms, but it is incremental as it builds on existing domain structures.
The paper introduces the concept of outer diversity for ordinal preference domains and calculates its values for structured domains like single-peaked and single-crossing, providing specific numerical evaluations.
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.