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Paper · arXiv

MILP the Gap: An Automated Reasoning Approach to Condorcet's Paradox

Computational social choice studies how conflicting individual preferences are aggregated into a collective decision, with applications to elections, AI evaluation/alignment, and recommendation systems. We focus on settings where $n$ voters (e.g., human evaluators or algorithmic benchmarks) each rank $m$ alternatives (e.g., human candidates or AI models/outputs), and the goal is to select a committee of $k$ alternatives. One measure of the (in)stability of the outcome is the number of voters who prefer an unchosen alternative to all alternatives in the committee. If this number is less than half the electorate, the committee is a Condorcet winning set, which may not exist if $k \leq 2$. M...

AuthorsItai Zilberstein, Ruben Martins, Ratip Emin Berker
Primary categorycs.GT
Published21 April 2026
Last updated at source10 October 2026
cs.GTcs.AI
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