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Tatsuhito Yamagata

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Preprint Aug 2026

Witness-Certified Fair Division with Comparison Queries

We study fair division of indivisible goods when agents'valuations are accessed only through ordinal comparisons between bundles, with arbitrary tie-breaking. In this model, even deciding whether a given allocation is envy-free up to one good (EF1) can be impossible. This suggests explicit fairness certificates as a na...

Tatsuhito Yamagata, Hanna Sumita · 1 citation

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