Selecting Matchings via Multiwinner Voting: How Structure Defeats a Large Candidate Space
Niclas Boehmer,
Markus Brill,
Ulrike Schmidt-Kraepelin
Abstract:Given a set of agents with approval preferences over each other, we study the task of finding k matchings fairly representing everyone's preferences. We model the problem as an approval-based multiwinner election where the set of candidates consists of matchings of the agents, and agents' preferences over each other are lifted to preferences over matchings. Due to the exponential number of candidates in such elections, standard algorithms for classical sequential voting rules (such as those proposed by Thiele … Show more
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