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AAAI 2026 Main Conference

January 24, 2026

Singapore, Singapore

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Despite extensive theoretical research on proportionality in approval-based multiwinner voting, its implications for which committees can be selected in practical elections remain poorly understood. We address this gap by (i) analyzing the computational complexity of several natural problems related to the behavior of proportionality axioms, and (ii) conducting an extensive experimental study on both real-world and synthetic elections. Our findings reveal substantial variation in the restrictiveness of proportionality across instances, including previously unobserved high levels of restrictiveness in some real-world cases. We also introduce and evaluate novel measures for quantifying a candidate's importance for achieving proportional outcomes, demonstrating that they clearly differ from traditional approval score–based assessments.

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