AAMAS Conference 2026 Conference Paper
Multi-Attribute Committee Selection: Diversity, Correlation, and Approximation Guarantees
- Doron Heller
- Reshef Meir
Westudytheproblemofmulti-attributecommitteeselection, where each candidate is described by categorical attributes and the objective is to match a given target distribution over these attributes. Building on the framework of Lang and Skowron [2], we formalize and analyze the šæš class of voting rules, including the well-studied Hamilton rule representing šæ1. Weimprovetheadditiveapproximationguaranteesfrom[2], and extend our results to all šæš rules. Complementing this, we prove approximation lower bounds for the šæš class. We then turn to analyze the effect of correlated attributes, which may indicate duplicates, and are likely to skew the outcome of šæš rules in a given direction. We propose a correlation-aware variant of šæ2 and show it satisfies desired properties.